Question
Taylor has tracked the number of students in his grade since third grade. He records his data in the table below. Is the relation a function ? Explain.
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ECpUqVeqeCFVVWrVqFl5cXzZs3N7UoRYJz585x+fJlBg0aZGpRigQJCQnMmTOH6dOnm1qUIsOlS5c4ceIEw4cPN7UoRYLU1FSmTZvGzJkzTS1KkWHkyJFMnToVCwsxn4ox+OGHH8jMzE1cl69xJZFI8PDwwN3d/Z0JVpRxcHDAxcVFNFaNhKurK/b29qI+jYRCocDGxkbUpxGJiYnBzs5O1KmRsLGxEfuokbG2tqZMmTJibKCRsLV9Pun3KwPadTqxgJCxMBgM6PVFpTyP6dHr9RjE2kBGQ6fTifo0MmIfNS5iHzU+BoNB/M4bkRf75xubrBpVGglJqRiQYtBpUGt0mCmscHJxxa7Ev70jzkB6QgwXTvyFqlRTPmzk9S/f791g0KtJjEsgWy/hWTycIIDcAhdXZ8yloFMlc+PqNRLU5lStVRvPkvmnb9dmJBH56DHpaillqlTCyaJ4zkp02RkkJCSjE6TPdCoIAjKFNa4uDjl52vVq4uIS0egFQECmsMXNxf7ZjEOVHM2tuw/JwoZqtWpQ0qp46hJA0GeTGBeP+oU+KsgscHEtiUKWG8ipTgjn8kM1dXyrP5dtXJeZxO3bd0jOFHAvX5XKZZze6TP89xCIj7jN3YcJyK2dqVajKnYWz893VcnR3L4bAbbu1KjqRd7DmUnRXL16G42lM7Vq18DJStyRrIx/wM27UWil1lSqUQM3uzzB2noVYaG3eZSYhVPZqlQvV/KltA16tZLHCakYyClna2njhLN98UyWm52RQmKKEoMkN72FIAgorB1wdrBGAhjUqYTeDiVBCZ5VauDl+nwS3JSYe9wOi0Ewt6dKzeqULEZ99I2zV6jTE7lyYBUdmjWhx8ifOHLqNH+smk2vT3qwcMcF/l07WE/C/eOMHtCHDaci/tU7vUseHFuOv089vH188PHxwcfHFz8/X/z7/ECMBrTx1xjdsz0fdPqIzq2b0LBFVzaej3zpd8LObmPc+On8eT4UtSDHXFZ8M76c+XUijbzr4+ObR6e+vnw6cS1ZT865d2AhLf1yjnl7N2bK+vM8nXsk3TnK1O/ncTEsktsnNjBq9FRuJRSd+pVvSvTZX2njW//5PtrAl5afT+BhRh6vrCGTNZP60mfsKpLzXK9LvseMUcNYfeg6cY+uM23klyw9dIfiW6ZM4PL2n/l6wkLCYuM5v+1nvhz9E1GZubPf5DvHmf7DXP4Oj+DC7jXMXraHjCeHH1/ewWcf+tO52ye0bupH8y7DCIlSmuhZ/hvEXtrBsKETOBceS0TIFoKDR3Eu6kn1W20Km+f/yJo9IURHhbJ44tcs2XvthV8wsH/BV/h5e+Pr64tP045sDIl558/xn0DIZMN3X+Bd3xvfJ++8r68fvr4NGPXLXxgAQ3oES36cxs4zd4i6f44fvhnB9kvRz34i/MSvDBsxlavRcdz+aw0DB3/L9Xi16Z7pHfPGU3Fbtwp80K4l342bh331AIL7dsaQncraCT0Y3Ksb+i0H+Cqg0r+UyM2MCg0C8K7iQGYRSRUn6FI4eeY+Hb75iRZ1PJFJQCaTcGzFdxyzqYGHhYaDyzdg0Xwkpxc0RRsdwsgvevH1iB/xO7wIL0sJIHBjz3y+nneCflNm061ReVM/lknRpYdx+raKQVOX4FOhJBJBQI6KtdMmYKhWCytAr4zg6F0pP/zyO/YWEgyYUameT84LoX7E4h/nYN1xNgM7VwG6Ivu6KxNmbWLDzM8pdhuX9emcOHmLgOEzaFW/HHIJyOQyTq/9nn1CNTxscoeRB+e3s+tUGHK3BnlmbgLnt8xjyy0bdiweSFmgZMwpBkyfR/vGiyhjVTTe5TdBUN5kxvcrqfjtH/TqVA38K3CwVRDL//yQKV2rgiaGRbPmomj7PQO71gJ1NKO/CGZVxep81dKGP/44RIuRy1nUuCIPz26gT+//MerHuuxbNIDCWmW1YCSzasYskit/zfDPuwJtuf5BA2asbMX2yYHc2LOE9dfkrFgxiJIyCKgkpdvoyVSp9hutvHI8U1kR57gtacCaTb2QGfRIzO2p41fBtI9lIlIfXOKGyoMpC1dT0bkESKRIMiKY/u0sqtWqhQwD+5ZP47yuGasG90AO1LGayMDx06m+YR5V7BNYPHUe8g9m8eUnLZFoGnOuZVN+3tiOFV81KyJf73/m7dY5BCklzM2QCAa0gJnCns49ejJt8Sds2HyEfv6VyBkvdWQoszCztEYhf1mdqgwlBpkCa8uXE5YaDAJSqQSDTosgNUP2dKTW5WTh5aU5r54MpeqV9/rPolXj02UUvauXzm0THrFzroQ23VpiZkjHplYXJjb3ySlEWiqQKd8OpN2Xh7j+WItXeXNSQvcwdOwy3v/uj2JvWAHo9FICg6dSvWLJ3Mbk88zTOfGpfz0kwN0LJ1A71ePD9i1eegmS75xl/8Vkxkx4OrCa0yqwJfOGrOfCqB40dS5myQy1WdTp+DU9apTJ0xjP/gUG/Lv5P6s1pom/zr5LSTRrWZ/N13R53lA9j6MiSEqwRJkBWIO5uRladRb6YhpGY1DHER0RS8mU9JwGiRly9GRl5/j+Yy/sZf8NmDW9Vs5xi9IE+Dow/bdt9PTrTO0Ow3m/cSUASgUNY/zpP5n412mi1QOoUiw3f6URFf6IlJKpaABzZChkoFZrAB1/bt2DtMIYSj55dZ392lFLMZ+N+87TckgLJGRz7PBZyjbqTECTohFuUhAEhQvB42fhVSp3STT58m9k29WifeMyoHnEjp0ncR04mKejYc02gTh9/zk7Q6IZ3VpN5IMYtMlpOQclZphJBdLUmnf/MCbiLZPaCzk1xiSSZxbo0+RZUokUqQTUCffZtHIFK5bMIbj/QFYfvPlsyVCbGsm21QtZsXo1syeN4dt5G4lV5YyyKZE3WPbDCP43ax2Hdy+nZ6fWtA3qzaZTYU9u9LI06sRwNq9azsqlcxncfwAr9l/7l5cnjYfE0p2aeQ0rICHkIJfT3fBvVAGkTjR7alg9wal0GdxKO+NkKwe9krWzphHjFkD3Jo5cv3KNyMRMijMWDuWfN6yA6wd3Ee/gQ8NKjqBLZuuynxjWJ4gmrbszf/NxlHlWttJSYkhMSUKtzm20c62IleYOt8NU7+ox/jtYuFLzOcMKUi4fISTBkYD3quc0CFns3/4nZRp3oJqjDP1zcx859Zq1gIg9TJq1mYTEe+w4FcNngwZQxqYQTYSMiMy+Fs2b2LN22kQOhyVw6eh2Msp3one7aoDA9fMnUVp44uGce41HxYok3zjFfcHrmWH15NfwKOeJs7szNsUnpOUFPGjRugYn187gl8P3eHx1H3+rqjG4VysgjZiYWDJVqmfL/kjcKF9KQuj1u+gAbeINVvz8Az0/bEGb7sH8ceoOxdTuB8DBo8pzhhUYOLF7H9b1AqhiJ0NQJRL7+DFZeYwliXU5PJ1SuXE9EvCiZSsvdi+ewvqQaB6c3cE9RRMGdmtQLLxW8NbGVQ7a7CzUGi2q9MesX7GCaLkXn3wcgIXmEQum/Ehy6ZYM/WYsrT1iGd6nFztvpIAhiSWTR3Aw3o3P+g5k6JedCf3tf/Qet5J0A5hZSLlzah+//baJa8m29Bs+nIrZ5+nXcxBHI1TkurByMGQ9YtH304l3e58hI8fSvlwSI/v0Yuvl+AIpxnToOX3oIDa1WlDbSUJ+1uSDG3ep0KIz3k5SVLGX2HnwEtY2WravWMLi2RMIah/Iwn3XivXg8BxCKgcOnad689a4KwCJOV1HL2br6qnUsnjI//p0ou+360jV5VgE9i5lKGGI5eS53JgMjTKB9EwtgiBqFQycO7IfRdX38XbNeR8fXdjLNU1FAupWQK99eWrj1WIAM74J5ODs/nT8bBxuQZOZ1LMRxcwHmIuZC8OmzqOp2SU+bt2a2cdkzFk2kxqOMkBDTEQMUkdn7PNcUsLaDl1WDIlJL/6YkluhSbzfKRD3YqtQczoNm86QpnLGftKGPjNPMWTOL3So5ghYU66MHVfOHOfxM1sgk6REJXqDAQMgsfRk3JKt/PJ9fxQP9vFFx3ZM+u0s4h7vJ6juc+BcNC1aN0MhAYmFK56ucs6eOEX204mUNoXkZBWCQY+AOZ/9bzY9KiczqJM/w1eFM3HJEt4va/OPtylKvJ1xJZEglQnE3wth86b1LJr9I4cfuTB33SaC/cvzKGQXvx26SnLUBTas38IjTQk0j66x/9RNov7exaq9kXzQtTOOJRQ4eTVj5KAPOLd8Otsvp2HtUpFq5dxwKVefnr260cI/kJ8W/ky1zOOs23MFpM+PHo+v/sm6A5dIjr7IhvV/EKm2QBd7g91HrhTKYFkhK4r9Jx7SuK0/+VV3NKTeZPcFNX0Gd8cSSLx/kbvxzgR90Z8RYyexeMVKvqinZtTAEZyMKt4erKeoo69xPFRPQOuGOR1eZk1V78YEfRbMip2HWf9tIHtnj2HtiZxNEg6VmtGvoy8bfhjJkq0HOX5oL7+s3ECU2gPPUpb/eK9igeYxB47eo0HbACwAgzKcbUfu8+EnnbGQgEQiRSKVPd9/5da8174LgU0qcPPwLg6cOE9CRmF8Q42Hc9XGdO0SiLsQxa49e7kcGvvkiIAmW4tUoeBFR5Rg0KJ/wXZNuvYXF7NrMKB742LjFcgPhUs1Onb5iPruBg7s2MWZS7fJ2YKioHPfwTjf3cJXExbx1/Fj7Fo7n53nUvAoWxo5ILdywbtpSz4fPIGdh08yvoMzc8eO4URU8VnG+iceXzrGzeyytGr0JFTCwo3eA/sSv3cuo+du5Pixw/y2dCHH7prhWT5nF7B1mTp07tKVarZK/ty9m/PXwoqVsfp2xpUgYDBIcK3kQ7s2bfkseDy/blzHlx19kAGPbl8nSeKGr58Pvr4+dOj7PVdCb/J9t3rcPnmERxk22NvlGkll6zTE2SKGkGv3AQGdXsDCyvrZwFKidF0a1y1NWHg48HQpMuff2NDrJAgu+Pr54uvrQ7vek7kUeotZXxTOgSbx+hFuZpWhra/nywf16exYs55yHw6kbZWcOW12Sgo69yo0b1gDhVyGxMKZz4YPo0JaCIcuFNOdLi8Qemo/aS5+vF85n1BfiTWBw6YzoJkVx49fzWkzc2TgrDUsHOHPvfMniUjXkxIdgb13M7w9xILmKbf+4kqaK20blgcEjm1aQ2i2E/roq1y+fIH7j1JRpcVy6co14pU5lkD85W2Mm3uE4CV/svnnfvy9cjR9Jq0mrbCs3xsbfRqrJn1DqOtHHD24k0C3Bwzs3oNt15MBM+wcbECdRd5Pu1qlRGLmiI1t7simU4bx+9ZzdB78FZVti63bCtByfOUU1t52Zf2fB5ncyYUZAz5h9o4c73OZ975gy7alVNbd58zVCLJSk0mU2/N+kzoveU8lNp6M+H4mje0fceLCw3f/KP85dJw8dIiS9VpR0+5p35Pi9+m3bFoxAXlkCBfDU8mKjyHTrTLv1y2LhGx2z5nA3rR67Dz0J0Mbw/ien7DsrzCTPsm75O0T9wggV1jj6uL6koVmEAxkJaagcK9ClTwxAzpdNjqtnuysJNLS9DyNLrSwsMOqhAKFWe48TRCEXM+TzAx7K2tsLF72GhgMBtSJKZi5VaFKnjrTarUaAwVc93zn6Dm1/wjW9QOoUvLFOauW09tWc8++GUMD6z97LitnZ+xkerS63OUqK7fqVPA0R5NdnOYJryKTQwcuULXVeF4Zh65woZFPbdLkub1Fbl2a7kO/pTugizzI8jE6ek3vgUvxTXX1BIFzBw5jXrMVNV0VgJaoqDCuHj3F6JMbQQoJYaHEpYYzZWwGw6eu4aP6ctbPn02MS38aVXBFMmQWCyLD6bVqKWcHd6Wtl+3/e9eiRsql7czZcYeZO5vgUtGGhSuWEda6G0t/PUDHWZ9QsXoVOBdLkg7sn/S5lPhYFC5VKPd0TNUk8Meq37Br9hkd67m98l7FAUPcZWYv3UGDb7dS2qMy4xauIfx+S5YvWc/AwNqUlMip+l5Xpr3XFZINYRgAAAkySURBVNDyy+DWlPTpQudGZfL9PUXZyjSoUg6FrDgbrDkIqoccOBVN07HNMcvrsZBa0rhTfxp3AnRxjOo4iQYdh9HUyw7tw0PMWnuUHotG4ubpwdRlq7nfqg3Llm+jZ4tRFIdQy7ezPaRPLxPyXXrzqFoLq9TTLFi09VlOobhrJ9l39g6VG7+Hvf4Bpy+EPjs/KzMBqU1lmvtVBvQIgF4n5HqeslOJTJXRsGG9nL8luQH0parVwib9PAsWbuJpqHH8zdPsOV54gtqfkRnGwbPRtGjTiufNSB2X9v/GhazqDO/dJicxoyaFa1duYVGpJfUdEzl9+dGzswVNGga76vjVEcsX6aLPczJMQvsW9XIbX4yb0iURqSqJf4BPPj+QxLwpM7BoOZghgXX/XWELA+oIDpwMo2kb/yc7gs34dNwKDuzbxY6dO9m5YyujunpTpmYn1mxdR6e6NqDP4nFcEjJL6yfvdAkCP+tGBakGZXahe0uNgiopjhStDCvznEmUQ81WdH2/JurUVPRAzabtKEMkt8Ke5gXScuPqQ2oHtKesHNClsXfD72RX/4herWrknJH4gEs3HqArhqutemUS8elarCxztkrKHKrT46MWmCvTnn2DnhJ2ZBm/nDYwfsoIPJ7urHxhTNDGRZLhWJdWDfJZQShmxF0+zG1dBQK8PV5xhsCpX2dxWFmLKaN7YiUFTUo8iZkCJSxyEtdYlGpAjw8bIqSnk10oA3benDeeh+uyVcQ/uE9UYiJp4fd5nJaBm431c3HmHr6B9OuyksnT+qAMO07DcpbEJpvTd+w4Krq5M7TrBhbP/5EP/eZS09HA4T/P4tv9G1pXtgAykUkFom+e5e+7cTRwU3B97ybSyn5IT/+yqJJu8TguEVVcLJnZOtzrf8iAbiuYMKM/HR+cpImXFTFJMr4YNS7fmKX/MlF/H+a6qhQDGpd71ibosji+7nv6jVmOQw0fDm/6GYNBR3JCEn69pjJnaGu+HhrI5DWL+LvGBCrZ6Ti+dTdlOgTTroqdCZ/mv4DAxYO7SXHxpkEeXdw7spSJa27y6ZCh1Csl48L+rejrB9HZN48xKuhJT37E/nULuagIYMnUobgWtg71LxB75SgXU52Z9V7lZ21mCkvMniX/0iNHS7ZWwMrK6snSvj0dun7IkXW7OHm/JXVdpJw5fY3yrTvTuKz9yzcpBrj5taO15xY27zxKnd5N0SZc5Va6I117+efkUSvfjP6B+9i7eRsNh7Yn894xQlK9+HJUALqseNZ+N4j/rbxATd+/+ONnPQZdNvEpevpOXUrdmqZ+unePWVkfujQtw4HtO/jIuzc2hkTO3VbSpnsfSj2ZpWuzlIRfPshPq0MYOPsXutV/6u0zcHDpKFbdcGT40J54SBPYu30fdbr3wcetuL/0Gv7afQBH30AqOry8FVWdkcK1YxtYciSTqQvn0dgzxy1gVe09OtVbxu7te2lTKQhzVQQhDw107N4BR0kxcFvxFsZVZlI0F8Mz6DpoONjLuHH7Ibb1amCjyFWYzLI0YxduxN5rJrvOXOOSUJtBI4bSwNMSsGTkz7/iMH8BG35ZQvVyTphX+5gZgTnBsQBI5dhYSzi/fxN3JHoyNM58P6MnZS0N3L0ehXfgV+g9NEQlq6jq7s7oeeuxKzeT7aducEmoxYARo2hcPv/yMP9lYh4l0fDDbtS2z9WlPiOOO4+0tOvWHYNeh96QY/WXqeTDx+2bIEdCg88nMsZ8BdtWLsbV0QKpUxMm9e2AVXH3aAtZRCcZ+KBrEO55erqzV23chX0smDqJ2nVq07B5e772r/fMGBeylVy7eJYr1+9B2XYsHtLi2dJMcefxo3h8PuhG/ZKvdnpXbf4x/cs650lmKaNpn8lMM1vBvrXLuOqsIE1Tjbk/fYZHicK1cG8sZI61mbNsLkvW7OWXVWFIs9JpNngaPds+TbFgzgfB49Ct+41fV69GMCjoM+FbGpRWkBZ2nxh9Kbp1D0Sv0/JkSKBqwxq086tSyEIhjISZM1/PWoDNknWsWr4KO6kK62ZDGfppADIg8cE1zly4QnSSnv5T5uHr5ZDnYileNevB7rVM+y6M2rXq0KJdX1rVy3/JsFiRnUC8wZ1unfyxzGsTCXoib13g/OWbJKgdmfTzz1R2zpNe2aIME+YtYNmyjSxfsYoS+ky8uoyn98cNik//FPJh6NChQmRkZH6H3piszExBa8j/mEqZKqRlZL/QqhQW9WsmNPp0lpCkzRKSk9MEvRHuZUrmz58v7N+///89LztTKaiyX/dp87s+VUhJz3rr6wsLx48fF2bOnPn/n2jQC6oMpaDOr1PoNYJSmSFo87tOly0kJyYIGdn/wc70L/D48WNh0KBBr3VutipDUGXr3vpeGlWakJSSLhR1zZ47d06YMmXKa5ypE1KTk4QM9avf+4y0NKEAw0KRIDk5WRgwYMBrnatMTRZSlern2lTpyUJiivIfr9NrVIIyQ/XWMhY2+vTpI2Rl/T/fC71WyMzIELQv9T+DoExJFJL/3++NQUhPSRLSMjUFkLRwMGrUKOH27dvP/v7X5+MWJV5d9NLS2o6XQ9SlCDodarUGudwCW4fXTzf8T/cqDJiXKJi3zbyEXaFbCv1XkUixtHqFTqVmWFu/IuOizBwHp5L5HyvmmFsWrLiKmaUtjmI2izzIsHNw/MczrGyLX8B/QbC2c3ipzdLGIZ9vzfNIzSx51ZBQbJHKKZFvwXoJ1vavU3hdgo39P/fvosorPXQyE+2SyIyPIEFnibWQQtjjolGIVCqVIpUWG2fov46oT+Mik8mebRARMQ5iHzUuYh81PhKJxGTf+aLIi/0zX8+VIAgkJiaiULz7ErWpCVkEBP9AWwzo42NJMNMU+jVapVJJamoqSUkvpVYWeQtSUlJQKpWiPo1EQkICWVlZoj6NSEpKChkZGaJOjURqaqrYR42MWq0mPj4eC4tiWYzS6KhUz5dGkwiC8NK+yN69e7N27dp3JlReJFIZMmmOBSgY9M8CuEVERERERERE/qtERERQpkzORoh8jauwsDDi4uLeuWAiIiKmQSKRkM9QICLyn0Hso8ZF1KdxkUgkeHt7Y26eE/mcr3ElIiIiIiIiIiLydhT2cCYRERERERERkf8U/weuaynq4I8M/AAAAABJRU5ErkJggg==)
Hint:
An ordered pair is represented as (INPUT, OUTPUT)
A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.
The correct answer is: { 726, 759 , 748 , 802 , 895 , 798 }
We have given the data in the tabular format of the Taylor’s data
We will convert it into point format
As (3,726) , (4, 759) , (5, 748) , (6, 802) , (7, 895) , (8 ,798)
Domain:- { 3, 4, 5 , 6 , 7 , 8}
Co- Domain:- { 726, 759 , 748 , 802 , 895 , 798 }
From the given data we can analyse that each element in the domain input set has exactly one output.
Therefore, the given data is a function.
All functions are relations but all relations are not functions.
Related Questions to study
What relationship between money (in$) and time (in M) does this graph show. Write a description of the given graph
![](data:image/png;base64,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)
What relationship between money (in$) and time (in M) does this graph show. Write a description of the given graph
![](data:image/png;base64,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)
Find the GCF (GCD) of terms of the given polynomial.
![15 x squared plus 18](data:image/png;base64,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)
Find the GCF (GCD) of terms of the given polynomial.
![15 x squared plus 18](data:image/png;base64,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)
An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time
An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time
Is the relation shown in the table a function ? Explain
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UmNsVInYZNad6kIV7OcmW9AoWWTqM/5ODID1EI0uUcW0FQ4OEbVJJ0ovdnwrtTObI/iiyrPy9NGU4tH11FV61+CAoa9pjA1iNjS7zMpYYUBAEXTz+cUDNyyg8EdthBltWNxs1b0CSsdrUfGN3x06hUa/HxC+JGKWYKtRbfwFpXHCtf1snLD9fyaSkaH2q5X301Ad96zRlSr/mdyn0gENRuNO/YE9kat4+TeyA9Bz/paBkPBFoXD4JcbhweUbv60b5733uoqGqi1rniH3TtNhtKjRttew6mrQM0VRkEFb7BdfC9STGl1pPWnXvfE0lVFQ/fYDwqMKSzd20eHTr63gmqAlTzfqSMjIyMjIyMzO1TYUdKoVCgVMoB5HuJk5MTWq325gVlKkSn0+HkVF3jv5WHWq3G2VkOHd8Jer0ejUYOZ94pzs7OqNXVN6G5MlGr1bIt7xCdTnc59FlhaC8jI4MpU6aguGbvJ5m7xYEDB/Dy8mLr1q2OllKlSUhIIDMzk9TUVEdLqdLs3r2bKVOmoNfLsxlvl8zMTI4fP47dXt2WEK5czGYze/fuZerUqY6WUqWRJIl9+/bx7rvvyo6SOyAxMZGWLVsCN+lIubq6MnjwYLkjdQ+xWq3UrFmThx9+2NFSqjRRUVHEx8czePBgR0up0pw6dYr+/fvj7l5914i5U+Lj47HZbHJdvEOKioqIj49nyJAhlz0BMv8cSZI4fvw4gwYNQqWSJy3cLocPH8ZgKNmBpUIr6nQ6WrVqdU9EyZSwf/9+6tevT4sWLRwtpUqTn5+P1WqV7XgHSJKEr68vLVu2xM3NzdFyqiw6nY6YmBi5Lt4hJpOJGjVq0Ly5PM3mTpAkiRo1atCmTRtHS6nSGI1G9u7dC9wkR0qSJNkdfY+x2+3YbNV3z6LKwmazyXW3EhBFEavVevOCMjfEarXKdbESsFqtiKK8UXNlID/Xd47NZkMQSpZ6um2/nsWYT06uAbPFBoICjVaHUrJiKt1XS+Wkx9PLC2cn2XV4d7CRkZSI0rMWPq7XJg3aigvJzTciARICejcPXLVycmF57MUGTsWewCC5ENYoDG9nzVXn8zhz+hzFKg/Cwuqhk9MJboBIYV4eRkvJAEAS1Hh5e6K+NEyzmUg4E8dFixMhYQ3w0MqGvC7WIuLPxJGVb8e3Vij1Aq/cA854MYXT51LR1qhNg9q+8pTrCjDnpZFaqKJOUA2E8juXSRYunI0joxBq1w+nhsvVbaKd9HNxJOdaCQoNI8C9ek/8EU25JGYUEVQzGM0Vj61EVtJpErOM+NVpQE3vayek5KbGcy41D6+a9anr92B7tG/7Wdy74AP+NfE/rNy4mS3r/2DS0J70HzuFtVu2sOnPxbz09L+Yvf5EZWq959gtZizi/RaLl8g6d4TvpjxLz/5PseP89XYcLGbBlJE0b9qMFs2b81DvMUSeK7rnSu9nilIO8coTPenRtz/d27XgkX4T2H764uXz1otnmTP9Q9bsieHAhl/57Otl5FgcKPg+xpi0l2f6tqVps+a0aN6MkW//SL699LmxZLH0q4/4Zf1+Yvat59OPvyfBIHtnrqEojbnvvcrMxds4G3eIGa9NZO6mk1xqfdKjNzDj42+Iij3Omp++Yt6qQ8i+mWuxmy6yZ/U8RvTtxr+/23Tl9q9iPmvnfsr3v20n9kgks6Z/wbGMcpsYY2bHwll8uWg9sbH7mD39U/aez7/Xt3B/IBo5tvMPXhjWh5Fv/pf88pVNsnHg92+Z+cMKjsUeYe7Hn7DleFa58xInN/3CJ3MWEx17jAVffMrK/Un3/BbuJbfpLrIhetTm+bdf4fH2wWDPJGrhLOJ0DXlm/Hj0QJuGizloNCFxN7YyvheY2PS/FQQPHEqEx/01jV7vHURYbS8u5hmQpGutm3N8Gxm+/Zj3ywtINjta9yAeDpP3k7qMVMSG/y3Ftcfr7PqqDTknN/PSuJeZPDWM7UvfxhMjv3/zISfcHmfuxIEIkoFZLz7L13+E8v5IOWfwSmwc2HuER8bP4JkgF2xWicDwVnirBUBkz9JZrEwK5Kevn8MVkZWfPM8Hc1Yx750hqKtmw3BXOLH1J+ZtzuOX3a/RVCNRr/AwY6Z/Tu/2P1FXGc+sz+cSMvYrJnSrgzVtP+Nf+ISgsB8ZEC5PArgClY7a4RHorVlkmqUr3j0nN8zjx/0W5v70Ev5KiV0/vMH0zxbww8zncFPAhb1L+HJtEp/Nn0MDF4j9fTpTP/6O7+e8hV81c+ZLqAio1xhfrZGcIls5r55EzvE1fLz4IG/P+5E2vkoSt3zHK599Scj3H1FXL1CUFMmH365jzKz59Ap1JuvgMiZ+9hkh38+m6QO6H89teqQUtOgxlN6tS3fNLjYjCQoE7Fzq30d0HsTAR+qX+4wdk6m4wlHUNTMxpIrHXNefuSFRbDJh+weOpGJTEabi8vFiidSoFcxevJEiUYkkitjtV2oR/0nOg2jFZDJTOb4tAWd3X5o3a4a3s+ZaG4j5bN4aS/sho+jXpy/9+/enxyMtcH4w6+9tIRXn4NF8JNNeGkZI3Tq0fXQ8H74+lMx9OzhbCOaUQyz56zSdencraYgFN3p0CmHz4l9Jl9PXrsCcdpSDF/SMHDOcPn0epf+AfrSs7w+AaEpm8cKNhHfuTcl63Qo69XqYk6sWcDRLzs8oQyIzKZ7MLAPFxpIjemcdxUUF2ARI3PE7u5I96fpQHQDU/k3pEFTAr0u3IPv2rkSp1hFUvyUN6/he2TaKBpb/vALfNr3xVwIItO3djezIZew8WwBYWbtgCeqGPWjgUvKRxt17Quxa1h9Jd8CdOBZBocE7MIym4bVQlXtrS5LIliWLKQrqSHNfFSBQ65HueCZvZ0VkAiCxb8VCkvTNeSjUBRDwadGRuuYjLNkQ7ajbuevcpkdKgUeNgIovrHXBrzS8XJh+ir/+2k5yRjJxyWYGTfg/Hm3uR9LRLcxbsIEGjw7HLyOSH5b+jWfrYbz/6mDi1v3M3CWb0Ib3Ydp7L1FXb+X4ztX8+PsRug5/lAtblrBqz3ma9hnDWy+OwEcLVkMy69dsICE9jZOnM+jwxAuM6t4IhbmAIzv+5JfVJ2nbtQGRS35H1/5Zpo1pxeY/lnOhSIExOxmjawSTXhyBS+ZBPvzPR+yMcWbLb4swNGmNX/EJVm47yyNPjqNHQ3+yTkexfOV6qNeDkT3rsn3Zz+xL96Bl3XyWLDvKE1M+518d65Bz7jB/bdlHWmoC5w0uPPXiS3QI8arQdrfCjZJXDfG7mTPzPU7OWkTfQcOZOOlZOjbwu+Pve5AQtMF0617ritFqQN26+PmLeGghZe9u4g2e1KtzKe4vUKNeONaEHziaZqVPzWo2PL0hVvau/JH331nA/JW/M/TJZ5jw1CCC3EqalcKUQxw4LfJyWNmWT85B4XgUnmRvXBZtfAMdJfw+Q6BB6864GCby/oxFLHi7G6u2xTHomdcJcbazfPsuRO+21LhcHbXUCw1g3sbdpNsfJ0geJF2F7ZpIiD03lt3RefScWFbn1D718SeZPTEp9AtRsTMqlTpvlNvOzKMutfR57DkYx5i2/vdM/f2EeHVqi5jMzj1nCXq8HpdbQU0Qdb2s7I06Dr1rsGtnLN4Ne+Ny6bzCl5BAJ/7Yc5DiJ1vyIGad3fV8RdFwlq8+/Apz2KO8/NqrNCjazr9GP09UmgWlNZVVvy5m+YoNGNya8ET/lmz5+lVemjaHM9bajH6qL8f+9zkzl+4HBKwXT/G/+T+zZOU2fNs8xoju9Vj8/vO8Pe9v7HYDP3/8EWe0LZk4+d90D0jh5aefZlVsNggCxrRoFnw3hw1HDHR/fDidmvmx6otXmLXZwKgJk3jl+UEc/eUtvlxxDI1XKAMGdsFX506Tdo8QEV6X8BAX1v0wl+1x2QDUqBdC/qHV/PTbbkSFktO7VjHvx0UkKxswbOij1PNzxZJ2mE8/+RnvDk/wf6+/iP7EQkaMm0J8/t0bR2q8GjJj3q9MHdeNM2u/YGDPwSzenXjXvq9KIiiuCjeLxJ9MolnvxwhRQ8b5REwu3tQot/m2k94DpT2NtHQ5UaoMgdCu4/l10bf0DVPy7WujGTz+Pc6W5kAVJieSLbjg51oWGldpPNCr80hNrqa5JzcgsM0wPn5rFDu/mcSAJ19F1eV1Pn2+OwqpgMSkTLQ+PmUvJsDFzYXCixfIK3CY5CqFKf0CaRYNfp7lFpZVu+GqM5KSmge5qVwoBD/vsr0OBVxxc7GSciHrOlespuRlkJhroYZP+VQRZ9xcIT01A7E4l6TMArx9vSnr36txc1WRlZaC6QFN7LvrU+rO7P6N5btP82zH/axIlTBr3bl47G/WHUxmWr82hHq5E9y2N8MHPgy2Fmxa/Asp+nAmPD0UMHHkt4VsOXoCi7IDDVs2I8DZlXaDxjCsc20Y0A1bYgz/WbKQZ1pmsWDtfnqFdGLVyrNkiq6YUw6zctMRhjTpSUTLCAK9atF31BieaFSSVxCZ0YGx7bsT4KwkOdGKk7qYpMQs9B6tqRXoiVKtp3ZYKIFaQOWFt6szqtKup8LJFT8/L5yyBdw8A2kWXpfgZH+eHD2coNJ73/XDe6yPTSP8xN+sOA6CmyvJv69h26mphNylEY7Ouw6d+tahU9/BPDNmFC8+MYh33/6Y9uvnUk/e6eO6mFMPseWMM89+2A8FEhaTGdHJCacrelsCkmTFbntAW4LbQkVww9YEN2zNgCfGMnrwLAY/9T4f/tiZX17rhd1cjFWjQacqN16TAMmKVbbjlSid6TRwJI9vO8rKzavQBbVlzLBuBOklzBYrKq2W8n5QAQm73YIox/ZuCbHYjEWhRKsq576TBARs2KwiFFswKxRor9k2xYbNJhv5MhYLZgm0TlfaSUBEtNmQrDaKRQlXp6u2RBJE7HYrosgDucPvXe9InT92jEJNIE0jGuINNGn0FQNfVFCjZjCYTiAJSnT60hGrFbRaZ1xcysZeTjolot2OBNjtNiSlDje3SyNcJ7r26Ix9RxSxUXtIs3oREdGYBi4KGjVqxP7hb+LuV7Pk0qIICjUaVVkD3unJV6hzdDvfz56N2sMHnV6HrTSuLtpFkCTsl3JiRJEr05Gky25PCbBLEiq1UzlPRzFx0SfAszlNGzVEK0GT9xbz9HsqAup4V5p9K8K1Vls+mzmNns/O48jZfOo1e7CnoN4W1ov8sXglLUZOokOwMyDh7OmOxpJNcbl3vbW4AJvkgZu7vGfa9RFo2v9Vpj+3jQ+3b6PotV5oPTxwFq0Yy3Wa7NZCTBY9Hp4PooP/9smP38GUD5cyfOZqntzzBU+8/A5P6z1Y9cVTeLs7I5qLsQKXap+xyIhG741O50jVVQe1uxuuChGTtVynyF5IUbEGD089uClwV4Kp3NpKEkaKjArcPV2vc8VqirMz7hoVxebyOY7FFBpFXIPcUep0eDhpMJrLzya3Yyyy4uzmieYBXQ3prt+W3W7DmGvFp0ETGpd7BxVbRSi1dVlSoFTyr8Ll/6887+zqjrtWh1IA00UD+uDGNAkuG3VYLFcuD1D2UTsHfvucz9Ze5PVpb9K2rhNxS/9Dwk22HiibvSCgUFw97Ui64meb1Yoxz0Jw4yaU+Z9ETNZ7Nxr3a9aa5oErrlxLRaaUYrYum09GrT5M6tWotBMs4BfaEDfzCtKLJOqXhvcKc1Owu4QQWlPuSN0QQUnrjg8TdLYYO+BeK5xgp0JSLpqgdsngyFKUikEKILwS8gQfGCQrf/0wk0PKTnwTEYyqyUd8n3yOUXO+ZeerjxPepD6mnenkAz4Akp2szIt412qPr7wF4i3hFNCAeh52UrIKoLQ1FoszyCn2oG2oD7ipqO+rIiU9r+xD1iyy8vWEh9V0jOj7EdeahAc7k5iWXe5gDhm5CkK61QKVN2H1fNicmoEVSr2o+WRkW6nTuD4PalCkcpxsCgEBEBCuuWDtRo2xn9/Ed/MjL+f+n9u9gW3HLoBGjSAIl1cHpfTny79T9l761o4AAAl9SURBVPulI5JNRJLKviXlQiq+DVrSpv3DeBQe5NvvllE68YXsU3tZuyMGO6Aovc7lfQON8cyZ9QseDz9G27peIBVTXGxDKN3EUUBCkgRUlzyYGhVq7Fhsl5RYycsrRKQk36ZEp6Lc/TsR1jSM9MN/MP/P45ePHl3/J/vP59yOla9AUChAKP2/AvITz6MP70zr+rI36kos7F+7iJOqtkwe0blkpF+USfTxBHzDutImyMjRY2mlZSXOxsRRs2MfGrnKPdIbI5GYUsRDvXviCmhqNKdXGy+iD8ZfLpF2PBZlWCfa15Wn7ZdhJz0lA0HnVjKyFXQMHP0k4U4WsgoVtO3RG1fDSRKySj3gUi7HzuTzSN8eyE/19VCUvEOEsrZRoQ/l0c51OX6gbG3D3NOxFPm2oEuTAMCPR3s1Jf5g9OWZkMUJJ8nUhtKzbX2qKwpBAEHgks9AwJvefR8iNfoIhaVlxNR4LlgD6PNIBAhquvftjCHuCDmXnFaGC5y+qKdPj/YPYlQPqISOlGizkJeWRFJaOhkpCaTkFFDee9qgywhGdAng+/8bxsgX3+GDqW/w2Ypo6tXxoygzlczsHLKycjDb7BTn55KZnUN2VjZGiw2rKY/s7ByyMjMxmKwgKMGUwt7IA+QVFGG4EM3ybSmMGvcUjVv1YtyIdqydOZFBo19h+gf/4d1v1uAXEo5CtHExM5PszDQSL2RiEwGVE25aMxsXzWX5mr/49bt5RKcUEH94G5HR8QguPtizYlj56x+s2xKFUVuHRqGw6qd5rFm/gSW//EhUQi65qQkkZpVozkhOIjXPVOqXUvDQoHH0DbPz/tiBjH/jPaa98yo/7skiLOjOQnt2azFZmRlk5+SQkZmJ+bKHq5ilHz3PxGk/cCo5jfMxu5j7+2H6TRhDLTkEcBnJWsSmuW8z4pmpLF/wJUMHD2bQwH506DGU1cey0HjXZ8K4PhxYuYykvHxyzu5j0zEYP2HoAznj5HYxphxg8uiRfLtiD2lpqexf9wuRhto8+2SHkoZF5cG/nh9L7u6VHE3Jw5AVx8qNZxn2wnMEaeUO6WUEJ7oOGogYu5HNcVkUFeZzaG80/h370bGOK64R/RjV3p2Vf2zGkJ/PyS1rSHJtz9iB8p5z1yCJFBXkkJGZTUZGOgajuSQKITgxePxzaOM2Ehl/EUNeEr+v2EfXsS/QyEsJCHR/6jlqZu9mXUwa+YZMVizbStNhE2hXszo+9RJmo4H0rGyyMjPJzjNilwBBoO3j42kmHmP1ngTyDRf5a/lfBPd+ml4N3QCB8L6j6eaTxsotseTn57FjxSp0bZ5gyEO+jr6pu4Zy2rRp0250cvXq1QwYMKDMi3MdzPkZHNwfRYE6gAahvjjr3PEPDMRZU9JQKrU+PNK5A07GZGKiT2BQ1+S5yS/TsqaOuAMHyVW7E+jrS0iDOuSdP06a0YkAfz/q1A+FzDjOZor4BvgQVCecGookFi7agWcdb3IunOPAwWPU7TGa8X2boFDoaNupK77KPGKPxpBmcuGJiS/TK8IP0ZTH0cMnUPr54enmQ8OwUPRaDxrU8+LU/kgOnM6h3YCn6FhbydnUYtr37UfzsNoUpx9j76FUWvXsR+PgIMLCAjm1YyM7jlygRZ9BtAzQILgF4OsmkFtkx9vPE88aIYTV8kYBqN1q0uWRVliz44mOOY3dpykvT55AqPeNH8wDBw7g5eVFaGjoDcuYshM5EHMWvXcQnu4uBNWsjYdeBSgxZcaxasUf7IyKJa1QSY/hz9CtUfVb/iAhIYHMzEzatWt3zTlrbgLrNu3Do1YoXi5OOGl16PTO+Ie25KknhxHgqiSgcWs88o+zacd+ok8k0274BPq3CLrONz3YrFu3jm7duqHXXxtDUggS5w79zYrVG4k+nYDo2YjRY0cQXG7RMteazQhxyWH9xm3ExJwhqONwxvaJeGBHptcjMzOT2NhYunfvfoMSAv6N2hLmnMf6jTtJiD/OiWw3Xvz3ZBr6agENTVs3I/3w3+w8FM2ZLDX/mjSRhj7V6wVvNpvZvHkzAwYMuHEhu4kzR/eRUqQlwNcbD78gAn09UQqgrVGfxoF2Nv21iehjJ9E36sfEEe0v552p3WvSsr4L2/7awNHY49iCOvLimN7oH8DKumbNGvr164dSeYO1MySRlLhDxKVZCAjwx8OrBsEBfmiUoNT70TrCjz0b13Hk2DEK3Fsw6bkhuJdeSqHxoHWLehzduoGDMTGkC3WZOOlJfJ0eLEMmJiaSmppK+/btQaqAcePGSTabraIi/wBRKiwolO7kavmnl0vN/SOkn4+mSoW5OZLBaL1uOWNhgWS239o1rcVFkskilvxit0oWq1h20maRTJYrL2Q3GyVj6TGL2XyLym1SQUGhJN68oDRnzhxpw4YNt3jd62MxFkj5BcY7ukZVZ8uWLdJXX311x9cx5udKRZZb+cs9eIiiKD3//PNSdnZ2RaWkwnyDVGSu+Mk2FxmkfKOlcgVWEWJiYqR33nnnlspajQYpKzvvBu2kXcrLzZOu3+o9+BgMBmnChAl3fB2bqUDKKyi+4XnRXCTl5T+47acoitL48eMli+UOn0erSco1FN74vN0s5ebl39J7ryqyfft26fPPP5ckSZLuYQ69gLPLnaWaKQCr2YzNrsTZ48bJqjpnlxueuxqVk74s416hKttoFUCp5ur9VRUaHZeiZGrNrSYeK3G5w3v/J6h1LshLRlYOOld5a52KEXB2vXmmjkbvhpymf3NUOjd8bhiGV+DuIeeW3SlKrQsVWVHQ6JEn594CKi0eFT36Cg0e1cSQN/W13dD1d6+xm0k4k4qzrysZZ+MxPqA7TCgUigpDqTK3hmzHykEQhPunDaiiKBSKchNoZG4XpVIp27GSkJ/rO6f8+6VCj5Tdbic7O/u+eCGJ5iLM3m2YvaAdkqQgIysL96vdRQ8AhYWFGAwGLl686GgpVRqDwUBhYaFsxztAkiSKi4vJyclBFOUFNG+XvLw8TCaTXBfvkIKCAoqLi8nNzb3JEjkyFXHpuc7OzkalekAXdroHGAyGyz8LUgU1snXr1hw6dOieiLoZgqBAqVKiEAQkScRusyPKD5OMjIyMjIzMPUYQBL788ksmT55ccUcqJiaG/Hx5T6x7iSAI8mirkpBteefINqwcZDtWDrIdKwfZjpVDSEgIAQEBFXekZGRkZGRkZGRkbozjk59kZGRkZGRkZKoockdKRkZGRkZGRuY2+X9TO2E0j9k4dQAAAABJRU5ErkJggg==)
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
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)
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
![](data:image/png;base64,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)
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
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inZ89g4thR3HjTWL7ZXwKKwtnsjUy6fQxvrj0IgGYuYenzkxg3/Q12Z+0hfcsuSosL2f7tWnYezq/3L+evRENDuj+eQuHi9Vdzd24nKOleHhze1nWRhFMUHdlFRvo3PD5hFP1uSObxt9dQKTMYPELOjyvJMrRnSI+WOOyyF4g7qVdDSi0+RU6RmZCQUHz+cHdqPaFh4WAr5ESRg/hubanJyaKgohaAoOj2RPtUc+jQadr1HM5dw3sQFBLDyHvG0rfHNXS9rj224wc4UOjN5H8sZd3Kt4kt/46ZT7xJoc1ATPcOUJjDiZK6lWL9IuKJD4cjmSdp1rEv42/vR3BAJMPvvpdBPdvU93cjhFuzlObyxcI5jLxrEsvXbGT/8XJXRxJXKKLrKNbvzeGnDZ9wd69AXn9wFI8sSEMWTHBv9vLDfJZ2nIE398VHsUslys3UryKl16FXlLq1Mf7LJ64oOsCA0aADRY/JZEKvu9BNNphMGA0GdDodaBooCjq9Dp1Oh5e/Hz4+wSQMHkzLIB+axA9gztTbyduVxoFTtWA0YDKZMPzmeCbjRcdDQafXo5OtUcRflN4nkHbXJTPmtsEUblzCw7MWUiRLT7k1RafH4OVHbLcBPL1kOW9M7s2Xi+bxc4GUpdyWZiV99TeE9budzk2MYDKiVxSMXj4ySOAm6jXZXNckiphmfuwqKKDCDv6/G6JXOVNcBH7NiG0ZBOqxP/cDNA0UHTpFPf9UXPtO+LKd8hoLMgYlxKUZfINo170f7br3Ith8ksmr0sg5PZPw5le86om4GugbM37qFJZueoqjeeX0jAhxdSJRD9XZP7Dg/W9oeYOVl7ZpaLXHOVZRjuWjeYSU38pdqf3wlx2+rmr1q0iZYhie0pfazK1sz635/Z/b89m+/Rhx/W8ioYUfqA4ULt4FW/er6hQAyu/vULh4sXVN0wj0DyG0kQ+goWi/Pd5v38qv54kI8dflRWKfPoQHBeJlkpPCkxiDmxAT2ZqwkEaujiLqyWEIIaHPtShnSygtLaX0TCV2VGrPllF2thpVxvmuevXsmuoYOmE2I1aPZNGCZQycfx/+F/3pvi8/4NviKJ58dQphXoC1ET76WkrOzWmylJ/gYE4Rdq+61ytoOCxWHIDNYkVVdKjWWmpqL1SkMvdlEt6lL+0iTaD3xs9kp7S4AgB7TT6ZR05icYSgADoFHFYrDg1sVgt6k5fc1n8JBr0eFAXZ29gzaKqKcr5zoXLg8HGu7XcTsaF/OKlRuAWV0oJTKIHNCPat+2wz07cQlJRCQisvF2cT9RXQsiuPzO164QlzBpkrt9Nr0lM8Pkjm+LqDetf4fZpdz4KPP+SJJ1/n/551MGrw9QQZLRzesZHPNxxh5lvvcmeP8LoXN4rnxn4RvPTUZCw7ehMWEUCFZqT4yE4ycsuJjG2LOeufzJgwk5SUMaRea8SglrB+2YckNk7BcOYgS7faeGTmBJoYAVowYFA7Js+fycST39K0aSDVViNVJ/ayZX8x3VvE4VX2HnMmTmX40Fu4e0x//KUj/l+V52ex5adMTuWeZmvGHiL7dCLQW35hbstWwqI5M9heHcWApE7Y8g+wpbA1T8y+k0bSo3BjNbz3+Gjez23B5PtSCDSf5liZLxPvHyGfqwdRa2sxV9dQYzZTN9tXXO2uaLJEaNtk3ny3PTu27SD3yH5OoOAd0Y3n3phE6/CLSs1KIPe/9C9C/7OCPLUpt44eirVnBwbXhtGmkZHIwQ/x1uuNOWqLYkBSR7wr8sAnkm49Yig8doBazZv7n36BLq1Dzx3QxMhZCzFFf8rhs40YMjKVgOLuXD/Km2tDTTSLHcPCRSo/F/szaMD10oi6BIOXL73HPs26ESohEYEY5EvZven96NE3meIfD5GbW0Bc+/48c18vIvxlbpR7a8TYx17Ba+V6SgtKieqRwEM9uxEsnR6PovPvzPzVXxAQFyONKDdxxd+sBv+mJNx4EwmXeJ1vWBxjpzx24YmmKXQ8/8CPm++Zdv6RuVxDQ09012RGXBfxh8czBUYxcuKMC0+0GsLFRdDk0ZNI/hPv46+sUUgzrg2RFa89hs6H7kPG0X2Iq4MIZ2vatjdTZvV2dQzRkAyBdEro6eoU4k+4OmsPFguVlVVUVdW6OokQQgghxH911TWkHOZyft5bRLfBvbFm76OgQha+EUIIIcTV6fzQnqZdHfdY6n0ak5Ayid4jHkZTHSg6ucvoSiiKgpeX3NHjaXQ6HSaT7LHmafR6PUa5ddajeHl5XbRUj/BEinauBZWamkpoaOilXt/gFEX51T86TdOumkaeO9q7dy/XXHMNBoNMNPYkBw4coGXLlvj5+bk6inCi7OxsAgICrorvYuEcDoeDzMxMOnXq5LIM0pBrGAUFBXz11VcXGlJWqxWz2ezqXMLJTCYTNptNGqMexmQyYbfbUVX10i8WbsNoNKKqat32W8IjKIqC0WjEapVpKp7G29u7ruKoyRVWCCGEEKJerrrJ5kIIIYQQ7kIaUkIIIYQQ9fT/GqK8mSV/fIUAAAAASUVORK5CYII=)
All functions are relations but all relations are not functions.
Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.
Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.
Does the relation below shows represent a function ? Explain.
(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)
Note: All functions are relations but all relations are not functions.
Does the relation below shows represent a function ? Explain.
(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)
Note: All functions are relations but all relations are not functions.
The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.
a) Make an arrow diagram that represents the relation
b) Is the relation a function ? Explain.
Note: All functions are relations but all relations are not functions.
The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.
a) Make an arrow diagram that represents the relation
b) Is the relation a function ? Explain.
Note: All functions are relations but all relations are not functions.
The perimeter of a regular dodecagon is 108 . Find the length of each side.
The perimeter of a regular dodecagon is 108 . Find the length of each side.
Solve
. Write a reason for each step.
Solve
. Write a reason for each step.
Is the relation shown below a function ? Explain
(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)
Note: All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain
(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)
Note: All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAV0AAADOCAYAAACdDdHuAAAgAElEQVR4nOydd3wc1bm/nynbd7XqvVmWe8E22ICNTe8BEtNTIIVLbgKpP3K5SW4qCem5Nz0QCBBK6L0HQ6gGN2xc5W713rbvtN8fuytLtlVsld2V5/FHH2lmTnlH6/nqnfec8x7BMAyDSUZUC7O7fTP72rfSGWjBH+nCF+miN9yFL9JNWAmgGzoQu3UDEAURm+wkw5aJ257V9z3LkU9F9nSm5S3EafUk9b5MTEzSH2EyiK6BgaJGqOvexYa6N9jZuhFfpIuoGkY3NDLs2RRmTKEwo4JibwVZjgIskhVZsiAgomoKih6lJ9xOc88Bmn37aeo5QFeoFQCrZMdl9VCVO5eFpWcwNXceNtmBIAhJvnMTk9TGMAx0Q0PVFdoDjdR17qLZV0tEC6GoEQx0ZNGCRbThdeRSkllFiXcqLlsGoiAiClKyb2HMSWvR1Q2dVl8d62pfZ03tq3QHW3FZvXgduVTnzmNe8VJKMqtxWT1xgRypSBoYhkFYDdLce4AtTe9T07KBrlAr/nA3DquHE0vPYEnl+ZRkTkEWreN5myYmaYVu6PSGOzjQuYNdbZuo69xJQ89eIloIu+zEJjuQBBFBEAEBg5gwK5pCRA2g6hq5rkJKs6ZTmT2TGfknkucuxiY7kn1rY0Jaiq6ma9R372Zjw5us3vcSISVAdd4JVGbPoDr3BKbkzMZucY1pn4oWobZrJ7taN3Ggazu72j5C1xWWVJzHorKzmJIzC4tkG9M+TUzSiZDip7ZzFzvbPuSjhrep795DtjOfXHcJmc48cpwF5LlLyXUXYZUcyKIFQRDQDRVVU+gNd9Lqb6Dd30hXqJWuYAvNvbWIosz8olOZU3wKVdlzyPOUJvtWR0XaiW5tZw2r97/Elqb36Qg0cULJck6tvJCq3Lm4bd4JsSGihtjfsZ21ta/xwYFXcVndzCo8mZMrzmNmwSJG7lGbmKQ/ETXEmv2vsrlpNfs7d+CPdDGz4CQWlK6gImsGXkcOHlsWkiiPqD0Dg7ASoCfUQXugie3Na9hQ/ya+cCcl3qlU5c7llCkXUpE1Y5zvbHxIG9ENK0Fe2/kI7+59nlDUT3XefM6ZcQ1TcmZhk51JsUnRIjT27GPVzsfY3PgeFsnCwpIzuHjeZ8mwZSfFJhOTicLAoKb5Q17Y9nfqu3djkx0sKjuDxeXnUZhRhsPiYiwcEE1X6Q53UNOynvf2vUBd105c1gxOqTyfc6ZfjXOCnK2xIg1E12Bv+xae3vw39nVspSpnLufP+jSzCk5KqYGsA507eHn7g2xrep9cdxGXzf8ic4tOmZQDASbHNwYGbaE63tj5OOvqVuG157Ck8jxWTFmJXRp/B2hf9xZerfkne9s343XkcPHs65mVvwSrmBzn62hJadH1hbt4b98LvLbzUSyihRVTL+P0aZfH/4KmHpqusnrfi7y+6zE6A62cVnUJZ0xbSa67ONmmmZiMGE3T2LNnD+3t7YiiOOCaokXY076F9/a9RG+og2LvFE6uPJ+q3LnouorB+MuJJFoIRHtYs/9Valo34I/0MK94KYtKzyTblT+iNgzDwOVyMWvWLCwWyzhbPJCUFd19ndt4Ycu9bG9ew8yCk7hw9nVU5c5FFMThKyeZxp59vLrjQdbWrqIiewYXzbqOucVLk22WicmI8Pl83HLLLTz22GNYrQNn5ih6lO5gF6IIdtmO154DgoCqKRNqoyhIWCQLgagPX6QLRTOwyzY8di/CCEIauq6zcOFC7r//fvLzRybUY0VKiu7Wpg949MPf0Rvq5ILZn2ZF9cdxWNzJNuuoULQI62tf56mP7sDA4OPzv8jSKRcl2ywTk2Hp6enh6quvprq6mptvvhld1+kvE6IgIUB8qpeePEMBQRAR4yKrGwYGw9vjdDq5//77efjhh3nttdcoLp7YN9GRDSdOEAYG7+97hSc2/gGH1cMNS3/InKJTkm3WMWGRbJwy5UKKM6fy4Lpf8siG/6Un1ME5M64yp5aZpDSCIKDrOsXFxcycOTPZ5owL5eXlyHJy5C9l3tXDSpBXtz3Ewxt+TZ6njM+f8v20Fdz+lGdN54ZTf8iMghN5YevdPLXpL/SGO5NtlonJsGialmwTxpVkveSnhKcbiPbywpZ7eGv308wqXMwVC2+mwFOebLPGjDx3KZ868Rae3/p33tz9NN3hTlbO/09zgM0kZUmlmUGTjaSLrqJFeG7L3by9+xmWVJ7PFSd8GVeazbsbCV5HLlcu/CoZ9hxe3v4AmqbyqcW3kGE35/OapBZRLYI/0pMWg9bpSFJ/q5qu8OyWu3hr99OcNvUSrln09UkpuAmskp2L53yWS+d+ga3NscHCQNSXbLNMTAbw/r6X2N22CUmc2KlUxwtJ83RVXeGV7Q/y5q4nWVp1IZfOu2HSJLQYClGQOGvGlUS0EK9ufwib5OSKhTel3ewMk8mIwRu7n+Cl7Q+YSZzGkaSIrm7ovLHzcV7Z/gBF0izmu86no8lHq358DDBZZCsryi8nrAR5c/dT2Cx2Lpt343HxR8ckdXl7zws8v+VuijOmMCXHh6ZP7Nzb44WkiO57e1/gha33UJE5i8d/uIY/7XsGizXp4eUJQVVVZFnmj3/8I1dd/DWCUT9v7X4au+zi4jmfHXFSEBOTsaSm5UNe3Pp3cl0lXDP3//GO7WtJn4M7WZnwJ7ymdT1PffRXSjKruW7xf/O3tnOZN38u3/72twkGgxNtzoQiSRJ1dXXcdNNNBAIBAK5e9HWiaph/1fyTXHcJS6dcmGQrTY432v2NPP3RHeiGxqcW30KWVIRmTO7pYsCIVq6NBxMquh2BJh778A84LW6uWHAzee4S7A4rZ555JitWrJhIU5JGfX095eXlfXMEHRYXK0/4Et2hVp7dfCdFGRVMyZmdZCtNjheiWoSnN/+Npt69XLXo65RnzqS3tzfZZk0Imq4mZa7uhM1eiKhhntp0B+3+Ji6ccz1Tcmaj6ioQWwd9PKHr+oB5kLnuYi6d9x8APLbxD3SH2pNlmslxxqvbHmRj/Zssr76MkyvOG8OWNZq3vslD9z3IBwcih101gm2sffkhfvfLn/GL3/yZp97aSu8EhpBFQaQ90IQv0jVxnSb6nqiOVu18hI0Nb7Gs6mIzB8ERmFlwEufN/CR1XTt5bvPdqFo02SaZTHLWHljFqp2PMqvgJC6c9ZkxG0/QA4289Kdb+MRlK/n8zbfy3ObeAbnHdN8u/vTNq7nsk9/kzw89wYN33s71n7iYL9z+JB0TJrwCETXIM5v/hsrEPmsTIrqb6t9hVc0jTM9b0OfRmRzOWdOv5OSK81hT+ypv73022eaYTGKae+t4ZceDuG2ZXLnwqzitGWPSrt67gds+dSlfu2sz5XNm4ZKjKEp/yVV5/97v8aMH93PZ7Y+yfuM6Nm14g59dUcLzv/oBd69uHhM7hsfAYXGxs3UDq2oenaA+Y4y76HYEmnl2611k2LO5fMFXzGlRw3DpvBupzJ7NK9seYG/HlmSbYzIJUXWFt/c8RYtvP5fOv4H8MdxzTAn5yZh9DXc+9RQ/ue403MLADLtGaBdPPvQKGadfx03XrsANCK5pXPuFG1jireGJ59YRnYAwq27o5LqKyXUV8+7e59nTsXn8O40z7qL7yvYHafc3csGs6yjJnDLe3aU9GfYsLpn7BQwMXthyL4p2eDzMxGQ0bG9ex9t7nmVJ+bksKBl8AFsQBBo6ovQE1BG3bSs4ja/dfgtnVHow1OhhiRbVzs1s3CZQfcIJlPRzrrPLqplW6mXPts10TdDYliTJXDT7eoJRH6/XPEZI8U9Iv+Mqupsb3+ODA6+woGQ5J5afMZ5dTSqm5y9gWdWl1LSu5929zyfbHJNJRCDayzOb7yTbWchZM67CIg2+8kySYPXWTr7yu494+I16unwjiX2KQ4pKuLmRFs1Cdm4Wzv4zttwZ5GW40draaFcmRnV1Xac6fwGnV69kY8PbrK97Y0L6HTfR9YW7eHHrfWTYszh35rXmssKjZEX1ZVRkz+TVHf+ksWdfss0xmSS8vO0BWn11nDFtJSXeqcOWF4D6tiB3PLOfm/7vIx56rY76thCafmzCqIXCRAQBi1ViwO6BsozdIkE0SnSCJjMZGMiCxJnTr6A8ayavbH+AZl/tuPc7bqL75u6nqO/ZzZnTLqc0s3q8upm0ZDpyOXfmtYSiPv6145+o5pJMk1GyrXktq/e9xOzCxZw65YIR1ZEkEEUBWRJo7Qpzx7P7+e87tnLvS7XsrPNztNNcJasVi6ETjagMWH6h66i6juiwY5/AvVw1Q8Nt8XL+zGsJRH28uPW+cZ+7Oy6iu7vtI97Z+zzVuSdw2tRLx6OL44IFJSs4sfxsNta/yYd1bybbHJM0Jqz4+feuxxEluHju57DJQ++cKxATB4sk9q3bEgQBq0WkoT3MP16t5Uf3bue3j+1iR93IY6HW3ByyNIXujm6C/bUt4KfDF8JSUEi+PPErxeaXLOOksrPZ1PA2HzW+O659jfmKtLAS5PVdj6FoYS6ZdwNWyT7WXQCgayqqduh7iIAoW5AnURrQi+ZcT03rBl7f9RjVefPJck7sJnqTFYP4zgHxB1+PnzQAjPiIu5EoFzvoK270q59oz+hXLl4m0eaR64Kq62iaEfsyYjFGTYuf1w103UDVDDQ9fk0HTTPQDSP+s47adxxrJ3YMWrwtTTfAEGnsrmVzYwF5npN5cpUFRd3V10esbrwPQyAcjqJPuY613Vl89FrdYb87WRIwDIHa1jD1bU3sqg9w88oq5lYOnHYW20tNQBAPuq6W3FnMrAzzzvYdtAQhK76xd1ftTrYe6GbWuQvISMLzKwoSp1d/gi3Nq1lV8wizCxeP27ZaYy66u9o2sbH+LS6Y9RmmZM8a6+bjdPLWP/7I359bT7dG/C+xgSG4ufibv+eLK3LHqd+xwgBG9gqT7SzgY3Ov4x9rfsamxjc4o/rq8TVtBBgG6LoR25hQjx8Te4AT4qPrMTEwDNAT5Q0OnsPA0Psd67FpPIeWT/RxsC3jYP/GwPqapqPqBoYRq6P1q6PrA+vocZHTDTD0hOgdrKsTv4c+u2L7hh1qS1/bfffMwTbi7R/sL9a+Fv+diWJs9b8oCkgiSLKILIAkCkiSGDsnCbFjUUCSBGSx/3G8TL9rDpuIJAqIIsiSiEWSCWm9bO3+N/n5AS5feAVeeyaCpCMJYrzewT6tFgm/r5ebX/wJ88qXMPu0hdz57MAxBVWL/WGpKHCwYkEuK5cXkeuNCZShh+lsbicqW2nu7EXTdXzt9bQ0hRAdOeRnzOOiS07k/r/9kwefO4uvXjQHi28399/xFz6MLuG3ly0iWVl8SzKrWFJ2Lm/ueYq1ta+xdMrF49LPmIquokV5ZfsDFHjKWVh2xvht+aF2s/GVp3j6PZ1zz5yLXYgLgODCbk2HbUYEdD1mZ0Q56NVofV6K0efZCEi4hfnkW1fwwoZ3yRRX4LRkoGnxesYhnpBhxMUicd7o59EkBMhAMw72d7BsTFS0uNho8eXZCQ8ttgXswXmXAv29NwGBg9f66vTdsnEw/mckavcvctDrPPTPUcL7TNTpKyokzoMggCjGREgUBaT4sSwJCAJIkogcvyaKMaERZfmgsCXqSyAKMQESE2LUr72+9sVDjwe2nzgviwJC/FgWY21O9FY4a+vWEdn/Kp9Y/EXOmD78Nli9FhuC0oNNjJCdcdDbMwyDqGpQkmvnzIW5nL+kgIqCgWEKrXcdP73uJl5s0tG7a2n19fLQj67mjZ8LzPvMz/nb/1zGBV/6ETdt/DJ/uOlKXppVhdRzgAM9Xq6/7RdcfUJyd1I5c9pK1tS+ypoDrzG36BQy7Dlj3seYiu6Hdf+mtmsnZ8+4irJxHTwTQIDSFZ/jjnu/RrZFjz97sb/c48Xami627vPFRerg61vi1S7xs6rFX+/ixwnPDATCkRD5S77Bv3ZlU3PfTnRdQxQERCH2MAoCiELcCxJiYiKLMoHeM9nb/hEP9HxIZe5sMHQEMSYQMW8pljUp9lDHBEHAQBBiIiACgtiv/XhfsiggSrGTIlJMcBKCIg20J2Fn7Gfibcfbip/rK9P/nDiwfp9N8Z+lvvLxY/Hg/YuC0CdU/dtOUoKotCMY9fPy1gcp9c5gfvHIk0olQiCSKGDEHQGPU2blknwuOLmAygInonj4hyA6qrnyG9/j5ICBJElYZAlNja1Ky51+Ag7AOuVMfviPpzl31b9ZX9OIkPlpTlpxFqedUIUryaFBrzOPc2Zcw+Mb/8hHjas5repjY97HmIluSAnwxu4nyHLksmyc3PIBGIAoY5cFRHFihjvddpmibNvBVz5JQBISno3Q91rX/3Uw4fXIkohVlmlobOCVu//Jqed/gyuumE4oHI6JZlxIBICEsBAXUEFE0Qv5++pXaPOv46JlP6cwowLd0GLCHK+YeAYS4i3EG4i1T7z92DWT44P39r1Iq7+Bj8+/kTz3Ua48i4uu0y5x6pxsrjmrhMpC55Ceumgr5NSLr+DUIRsWySicxYWfmkUqJjJdVHYm7+9/hbd2P8n84lPH3NsdM9Fds/9VGnv2ccGsz0zALrcGGDrB1t2sXrOWTKsFd2YepeWFeCzjJ8CzKjzMqvCMqg0tZEHxN5JhU8h0QqZzpAONMmfPOp8H1/2STc3PU5X/ZVJgX1GTFKYn1MFbu5+iPGsaS8rPOer6mgEVhU5+fuNcZlceP9tJZTpyWV51Kf/c8FvW1r7O2dOvHNP2x8SZ7wq2sr5uFRn2bJZPvWQsmhwaQcaVnYex63luvflGPvfJK/jYxy7ls7f8nrX1ofHvf7QI8RjAUbKw9AzKMmeysf4dDnTWjINhJpOJd/e9hD/SxcmV5+M5hl2nDcOgPM92XAlugvklp1GdO59/73p8zDePHRPRrWlZz662zZw74xrctsyxaHJopAIu+dbvePyJf3LXXX/nvnv+yrcuqeCtO7/Nl3/wIA0Tn5d4QpBEmQtnf4Y2fyObG99JtjkmKUxPuINtze+TYc8Z4zy5xwdeRzbzi5fhj3Szoe7fY9r2qEU3GPWxru51CjPKmFs8dCRn7LBRWDWHxScvZtHChZy49Bz+8/ZfcMu5xdS89DDv7pkgM5JAZc5sZuQv5MP6t2n3NybbHJMUpaZ5PbVdO1ha9bFhF0KYHJmTys/CY8/h/f0vo2pjtyJ01KLb0LOXbU1rOKn8bLKdBWNh07EhF1Felomh9uAPTN6dKBwWFydXXkBDz252tm1KtjkmKUgo6mdTw7s4ZBcnlp+VbHPSlkxnHvOLltLqq2VT09itUhuV6BoYvL3nGbJc+cwsOHGsbBoWJRolGjkk3VzHR6z+sBFr8UJmVEyiJWlHYGruXCqzZ/POnmeIquFkm2OSYtT37GVz03ucMuVCshx5yTYnrTlt6qWousLmxnfRx2izzlENf7f56tjStJp5RUupypk7JgaNhPrV9/Gru9+j9LQLWFCRidqznzcevot7PnLwmT/+J0smIKycTPLcJcwpXMIrOx5kT/tmZhUuTrZJJimCbmisOfAvbLKd+cVLEYXJ7YCMN/meUuYXL2Nn8wb2dWxjau68Ubc5KtF9d++LiILE/JLTECbww80qrSJLu597b7+FgKJjIJJduZhv//3PfO2K5C0jnEjmFJ/KB7Wv8tbup0zRNemjM9DK2gOvsqB0OeVZM5NtTtojCiLLqy5jbe1rbG3+gKrcuaPeuv2YRbcn1MHmxvfIdZUwv3jZqIw4WjKnns1PHzyb73Y2UNvUjejJp6w4D8dxNG21KmcOlVmz2NW2ibquGsqyZiTbJJMU4L19LyCLFuYUnTJkgnKTkVOcWcXc4mWs3f8vTqu6ZNRjV8fsnm5qeIfucBsnV5ybtA/XmV3CzDlzmF5+fAlugpMrz0fRoqyboIz3JqlNVIuwseEd8j1lzCk8OdnmTBqcVjcLipfRHmhib/vWUbd3TKKr6xp7Oz4C4MSyM0dthMmxMbtwCV5HDvs6tuGP9iTbHJMkU9OyAX+4g2l583BaR7dy0mQg5dkzKfJW8sGBVzCM0c2OOibRbejdx/7OGmYVLMZtn+SjVimMJMosLF1BU89+9rdvS7Y5Jklmc+O7qIbGojJzmthYU5o5lYqsmexu20hHsGVUbR2T6NZ37aKl9wAnlp+FKEzg3homh7GgdAWBaA/7Okb/2mOSvrT7m6jt2kmhp5yKbDO+Px7MyF+EJFpYX/f6qNo5atGNqCG2tawlx11Eedb0UXVuMnpyXSVU5cylpu1DukNtyTbHJEns69hGU+9+llSch5n3cnyYU3QKbmsmWxrfRzNGvi39oRy16PaEO9na9D5zik4h05x4nXScVjcLSlewp20Lrb7Dt1YxmfyousKutk2IiMwpNgfQxguPPZPqvHl0BBrZ0775mNs5atHd2bKeqBZmeu4CZPF4mBGb+lTlzMFldbOl6f1RB/lN0o92fzPbmz9gXvGpeO2pvlVVerO4/Fz8kR62N6875jaOSnQNQ2dt7SpKvFMpzZp2zJ2ajC0FGRVMzZvPhro3CanBZJtjMsHUdtXQFmhgXskyrOO0maJJjKm588h2FbG/cxu94c5jauOoRLcr1EZt5w5KM6sp8JQdU4cmY4/L6qEyZxZdoRYau/cm2xyTCUTTVbY2vU9hRiUl3inJNmfSI0sWFpWsoL57D029+4+pjaMS3Z2tG5EkC+WZppebapR5p5Fhy2Zb85pkm2IygUTVMNtb1lKeNY1cd0myzTkumFV4Er2hDpp6JkJ0W9Zjkx1MyZ245DYmI6MsazoeezY1rRuSbYrJBHKgq4Zg1EdJZjVWaaRbP5mMhhxXMUXeSva0byJyDOG8EYtuVA1T370Ht9VLaebUo+7IZHzxOnLIcxXTGWym3d+UbHNMJojNjavx2nOoMHNvTBgeexbTchews3Uj/sjRrwQdsege6KohoPQyJXe2uSAiRanOm4+ma6OazmKSPuiGzs62D+Oia2YUmygskpUpObPpCXfScAxjKCMX3c4dBKM+ZhWYaQRTlWl5C9B0lb0dW5JtiskEUN+1G1+og5KsKhzW42/zyGRSmFFJrquIrc0fHHXdEefmaujZi2HoY5LE12R8KM6qwmPPpNlXS0jx47CYD+JkpqZ1A6qhMqPgpGSbMhBDJxoOEgwrIFlwON3YDlMaAyUSIhAIoQsWnC4ndmv6pAos8lZSmFHJtqb3UfUosjjyTIsj8nTb/Y209NYyJWcODouZvShVERGZmX8inYFmGnv2Jdsck3Fmf8c2REFiev6CZJvSh9pTy6v33s4NV17M6cuWsvzsS7npx39jXUOgXymF/asf49ufW8l5557D2eecxzU3384rW9pIl428HRYXJd4qfNEe6rp3HVXdEYluR7CZNn890/MXIYlmPDeVmV6wiO5QG63++mSbYjKOtPrqaQ82UZpZTYYtK9nm9LH3hV9x022P0JN3IldcewWnFHVx/21f4Ss/uJe9/liZtnUPcdP1X+bJ/V4+/vmb+MLKxTS/8ms+e+NtvNuUPnv+TcmZg112sqP56GYMjcif7w620h1upyLbDNanOqWZ1aiaQoc5g2FS0+pvoDvUxsKS5UxkghtF1dlZ52d2ZQbCEbrNW3QtdzzxLU6eW4bLIqB2XI734yv4zWvPsXbvp6maL/LcX3/OO8JS/nbHnVw1zwtoLKuQWfkfd3HH8zew9D/mj36b8gmgPGsaVskWz/BnMNLPYdh7MzBo8dfjsnrIduaP0kyT8cZpcZPvKaXVX0/YXBI8aWn3N9Ib6qRqgufMq6rBzx7Yya1/3cL6nd2EogN3yM2auZSzFpbjssQESM6awaLZpRAKEopGIbSRV19rYOaKy1g61xuvJXHCyeewcIrB2299QCBNYgzZrkLc9my6gk2EFP+I6w0rumElSFP3PgozKnFYXKMy0mT8sUp2SjOn0uqrIxjpTbY5JuOApms0+w7gsLjJ85RPaN+CAJqhs7ami1v/upUf31vD2x+10xNQjlxBaWZbTQOOojJKc3PQW3axv81GcVUJmf0cQzE7n/LcTHrqDtCupYnqApWZMwgpoaMaQxmR6Db07qPIU2mOhqcBVtlGibeaFl8d/qgpupMRf6Sbpp59VGTPwCFP/Co0WRKRRBFBgPe2dvKje2u4/YEaXljdjD80MM9s/b/v4ZE1OqedfwkLKkWCze10ixIut5MBqXnsdjKcNujppffYU9VOOFNyZxNSAjT0jHy+7rCiG4z6aO2to9BbgTUJH7DJ0SJQlFGBP9JDV7A12caYjAP+SDeNPXuozJmOVXYeczuGcfhX4nwsYBtzRQ1A1w0MI/YlCkLfLAOrHCuzemsXf3hyL9/6yxaefLsRXwS0xje47X/+SufMy/n6jZeRC2iqwRGTj4oioiggHClQnMJU5cwhooVo6T0w4jrDDqQ19e5DkiRyXcWjMs5k4vA6cvHac2jo3sMJJacl25yUwzBiYxWGARhxUYmdxCAhPgZ633XjoDABRlydDp4zMPSB1w6tyyF96PGOEv1pmoGq62harJymxQRO1WN26JqOpgNI7O9oo66+lCb7dFZFulBUBU2PCaOm6+g6aIaBphvoWqx+33ndiH/X++rouoGWKGMIhMMRjPIr2eLP5X/u3h6vGyunKDotXRHEftooCGCziEQUnY17emnq0ulurKHu8Vt4uHEaP3nodi6a6gBA9rhwaiqhQAgF6MvIrUQJRRUEbwbe9JmuS6Yzn2xnIe2BphHPjR/29mq7dpLpyE/dXSI0hbba3XRJ+VSW5mA9zHc3CHU3sm9fI76oSEZ+CRUVhTiTOTxq6AfdinEg05lNUWYBDb3bjnri9mAYxB5WQ495Knr84U2c13UD3YgJjG7EyxlxwYiX1ePipBtGvHxMpPrKHHYc76P/sXGwfqIv3Yi1q+k6qpY4Hxc/3ejz1EDoO3TOhOUAACAASURBVDYS9sT7POjN0XcuYU/iXKJ/Eteh755J2Bi/xwF9J9o45LivLgKCCCICogiSKCCJIlLfzwKSROyVXoQ97Y1YtZlEgtm0dIZB0JEEAVESkONlrfEQwIA24l+iKMTPi/F2D563WmT8Ph+rn36DqtIT+crlF4OhIwogywLRqM43/7SZlq5o3+wFw4CoouN1yyxfUMjH53bx3l9/wB/eE/jGn+/m5tMPOmy2wjKK7SGa65rpMcCZEO+Odmpbe8k+aSr5Uvp4u4IgUpUzl9quGjqCLZR6Rym6hqFT372LLEcuWY7Uy0hv9OzlqXt+x+/ueh7HWd/mzp/dQPkhY311797PbT/5E2/u7kTXVXRXGRd/7hb++4uXUnzsb2Yjt9FIeBcGgigSjOiINg9BRSSkgD8QQdVB7+/lJLyPuBBpWv/j/tc5eD4uOoYhEIxGaa5bwq5IL95IEyIyqn54vURdLd7/oeI38E1PiB0bMc8mMUEmcS5xIPSVBkMAIX5N6DuZqB9rTzAOVhDoV7l/n/1OC4IQ9yYFhHhlId6vJAmIQkzAJCEhJCCKAhZZRBBiYiMKAlKinCj2CZ2Q+J4oJ4pIAghiv3pirI9Eu1L8miAcbCdRR4z/HPseOxbj7YgSCMcw1UvRotz1/p8oVX18ZvHVZDuLjrqN4ejtVRCjbbilAAWZA3eHiUZ1MtwWmjsjCIKAqhnIksAZC3M5b0khp07p4Z/f+y6/XKXwlT/fz3cvmzngLuXMBZy62M1vP3ibHQeupajSCuhsWbeKNfutnPOtxTjSR3MRBZGpOXPZUP8GXcEWSr3DJwMbUnR1w6DVV09Z1jQ89tSZgA069Wsf5/bv3c7LuyKonXuxNbRyyOwV1NqXuPWL3+TfjvP58e9v4qRcHy/88bvc9t3/wlFcyU+vnn/YL+DFD5ppbI9gxF/xdMNA1eKvY/FXNVUzBryeaVpCvGLnYp6UERMDgX4PnEAkEiZ3wX/w9v4s6v65C93QEIX4gxh/mAUh9sCL8Qe2//c+QUBAiD+4kpi4HuvPItlxSDnUBvajagpOqxWrJd5uP8EQE2KVaDsuIrIkxONrsfaFxDXhoMD1XU+c67uHhP0H64v9j4V+50X67knsfy1xv3EPUCAuYvE+jmdUXWF3aw0LSpbhtY/f22fiLeKw8/HPR4tfXFDt5cozijlhaiYuh8S7v/siX/7fN8g75RMoW5/hV1ueQNV1dFWgYtkVfOq8WVz++U9y3+fv4Fu3ePnyNcuxNq7hnt/fgbb4i9x44fS021azPGsaESU44ux+Q4puRA3ii3TjtGRgSaltQNp4/7lXaC+9knt+dgEvfvNcHtfEQzwznff++RdebMrnO4/9LzecFZtjPOsXDnauO4fHHn2JGy+ez9RD3gZyPFYskhgfoRUOvp5JQt8rXN+rmdj/dVDo87RkOXac8Mwg9h9VkiTq6+p48a93c/pF3+GTnzqHUFDtu97nDSaELm6T0O9cvyLx68IhdWP2uLeF6diymuULP0dZ9th7QybJoTvUTlDpJdOZjyQmJ/hpk0VmlLu5+qxSls3JwdYX01Pw+aPkVpYgdW7isXs+RIvHXpQInGJZwMfPmcXsld/nzh6JH/3uSb739UcQZSfTVnyNe374DU7MTb99F102L1nOfNr89Wi6OuznMuTVzmALoiDisWeOqZGjJ4cL/usPfNzpRPLt5mWMI6zZ3s/qd3ZgLz2H5aceXNRhy5rB8iXTeOD9TdR1BpnqHhhjOHl29rha7nFKaNFe7BYNGfA4x+fB8dqzsMoO2oNNlGVPH5c+TCae5t792GUnWUlaqCQKAp8+t5wZZW7ch/3ftXDBd59m73eHaySLs278NSs+9R0amjoRPHkUF3hHnn0rxbDKDvLcJbT56omoIZzWofPTDHmfHYEmJFFOwUE0Gbc7Znps6OII+Fuoa/RjLymj0NHvvNVBYXERclcrjf4wMAGB3cM4OB1nvPDYs7DJdtoDjePaj8nE0tizH4fFlbTVoRZZ4MQZY+OEya5sKqrH18mZCOyygzx3KXvbNxPRQjgZWnSHHMPvCLQgixa8jpwxNXJC8AfpiSrIbtdAWRVE7G4ntkgIfySNZmEfJTHRddARaE62KSZjSFPvfuwWV9I8XZPDscp28tzFtPkbiCjDJ+wZUnQ7g01x0U29mQvDEh9pNjQN7UjXRQlZTLeQ/cjJsGdjkx20+01PdzLR3HsAu+wi21mQbFNM+pHtKEDTFTqDwzs5Q4puu785Fl6wp6Houp1kWGSind0MSEVhaIR6A4TdXnKcqTQ4OLZk2LKxynY6gy3JNsVkjPCFewhFe/HYMrHJjuErmEwYHkcWblvmiLZlH1J0e8PtyKKFzHQML7iKqCzzEGyo4UBbv/MhP7t278FZVkXFCCYypyuyZMFp8RBWgwSjvmSbYzIGtPnr0Q2dfE8JE5nO0WR4vLZsMuzZNPUOn/hmUNENRn1EtQguqxcxSVNTRobQN31q4H/DCpadfgLRpnd58V/b+gbbWjc/w2Ovd7Lk9NMpy0+HrJ3HTqYjF8Mw6A61J9sUkzGg1d+AbugUeMqSbYrJIXjs2XjsOTT3HEA3jhjQ7GNQNQ0pATRdw23LGHMDR0+I9U/dyT3PricQDfLhtm6aHI/zrS/tIje3jKu+8l3Onmph8TU38emH3+Lu/3cVje9dykxHG/964gnqZ1zBHdefSxr670eFy5oBhkEoOvJcnyapS3tcdPMzJjado8nweOzZeO1ZbG9Zi6ariNLgO+wMKroRNYRuaCmaztFAjwTx9fbgF6zMOOMaZho6aqiLXl8eany1jFh4Oj/7x4NU/ukeXvvwLV7DzpTLvsNPbvwsZ02f/Hu92a0uDAwzmfkkoSvUioFuJp9KQQQB3LZMFC1KT7iTXNfgC5KGEN1gTHRTcmtnJ4uv+Tb3XTN8yczpZ3Pr787g68EgEd2Gx209bqJhDjn22YXUwDAlTdKBQLQXUZDIsKf/3NbJiMeWhSjKdIfajlV0Q+h6qnq6R4uEzelh8s5VODIOqwvDMIgopuimO2E1SEQN4bFlIqf0GMvxi8eehSTI9ITahiw36EhSWAmiGdqwS9pMUheHHAsvhBQzvJDuBCO9hJUAWeb83JTFY89CEiW6gx1DlhtUdPtiuikZXjAZCbHPziBserppT1DxE1FD8embx0uALL3w2DKRRJnu8DF6uhEliK5rOGVTdNMVh8WFYWB6upOAQNRPWAmS5Uy1PCgmCTy2rJjoDjNFc/DwghZCM/RJEtM9Pont3mwQNgfS0p5Q1EdEDeE1RTdl8dgzkQQLPaEOOHIaLmAI0Y3Gwwt2c9v1tMUej+lGTE837QlEe4moQbIcZqKbVMVucWGRrISVAJo+eDKtQUVXN3TAMEdK0xhJlBEQjpht2CS9CMVXiKZemlWT/mTYs9F0BX+ke9AyQ4hubNM8UZzcS2UnM4IQ++xM0U1//NEebJLTnE2U4mQ581B1hd5jE92YpysOnRPHJIURBREQxnXnYZPxR9NVQkoAl80T/0xNUhW31Yuma4SGWAU6xCcYE13B/JDTl/hGj6bkpjearhJVI9hlJ5Iw+Jp+k+RjtzjRDY2oGhq0zKCKasS/OM53X01nDm7xbcpuOqMZKlEtjE12mJ5uimOXneiGTlSNDFpm0E9QiP8zdH1cjDMZfwxDxzD6i69JOqLpKlEthE12mm+eKY7d4oqJrjb4tj2DfoKJv6g6puimK4m4vPm2kt5oukpEDWO3OE1PN8WxyYnwwjGIriDEPV3DFN10JfHZmZ5ueqPFH2K77EAwY7opjSMR09UGj+kOOglXQAQBdH3oLOgmqYse357eFN30JhZeCGNNk5iuFu2ldtcu6tt8YM+grGo6lfmHrGzVw7Qc2M2e2jaikpPiKdOYUpKNJTkmjxk22YGuDx3THVR0LZINQRAJD6HYJqlNVAkjABbJmmxTTEaBpmvx8ELqi25w77/55W0/5+k1+whGFfx+hYJ55/K17/2A65ZXxF6to52suudn/PQPT7EvBKgRLAUL+PytP+YbKxdiS2MfwW5xH3t4wS47kATJ3OoljQmpsc/OLptLudMZTVdR1DB22Rl7A01h6t59itfaK/nST+/iqeee4+8/upLwm/fwk1/cxebO2Cya3S//lq/cejfq0i9z/7Mv8sxDv+J0+4f86Kv/w5M7epN8B6Ojb/bCEANpg3q6NosT0RTdtCYUDSAIAnarM9mmmIwCzVCJxMMLQooPilZf/lNevtaJW479cZgz7fvsXvUIX/1wI/tbgpyQ7ePxO+6mfdY13PXDr7O0WASm870f1LPuim9z71MbuXLWisGFKcWxxz8jRVMGLTPon02b7EAUJUKKKbrpSmybHsH0dNMc3dDRdAWLmJy9TzQdGttDBMKDJ3FJIDndfYILgN5LV1cEd0YuXrcLujfw3roQs09ZTnXRwXLl1QuYXenho/Ub6E3jaeWyZEFEQtMHF91B/6AkVr8EFd+4GGcy/oSifgSEeIpHk3TFMAx0Q09aHhRV03nmnWb2Nwc5f0k+p83LwWoZzBYDxd9Ja4efkL+Z95/4PX/fmMGV3/0Ui8ogvHU/9X4rU0vy8fR32r3ZFGe5CTc30a4YZFtT26MfClEUh8x3MoToOhAFiaDp6aYtYTWAIGCm50x7DDCMpIUWZEkgGNF4Y2M7W/b38uRbjVx0agFnnJCH037oFDaV9ff+F9f9+nUUPUR7W5T5n/ouN1+5nAygu8uHXxRxOKwDZypYbbjtVugMEEjzCVOx2ULHILo2izMWXjBjumlL7LMTsFvMmG46YwB6EvOgiKKA3SZitQiEIxpb9/vYUevn0dcb+NiyQpbPyyE3w4YkCYDE9Atu5DclFxMOdbNz7Svc/+BPuLa5lXvu/Ckn2GQkDFRVO2TZlYGBgWCxMKgTnRYICIKIMUSSqcFFV7bHBtJMTzdtCSkBBDOmOwmIye5EzbcWMJAEA1kS4scgiTEzRPHg/Im6thB/fGIvT7/VxDkn5nHSzCyml7rJrj6ZS6rjhT75aZZP+QyXfO0u/vLMJ/i/s3Pxqgr+ngBhoG8yYyRMTzCKmJNDjpy+oQUAETH+J8Q44mc2hOi6kASJQNSM6aYrwagfBDOmm/4YgNongoei6wZRVSeq6ihK7GdFNYioOoqioySuqTpRRSeqGiiqHr9uDLiuaAY+fxitdCUf9Rbw0wd2oms6NXX+w+K4oiAgygL1bSH+9vwBGtrDfP2qagbOCrcy9dRTmMqj1NW2YWRVMyUvTM3e/XSqkBFXoEhzHbsbuyi/cDbZae3p9lt1bxx5Cf6gouu2ZSCLliEzoKcC4bZtPPPQ4zQVnM31n1hGVv8B3tBennvgWbZ3htHj3r6uabhLF3DpJy6mMiMpJk8YPeEOBAQ89qxkmzIpMIx4QngjnoXPSKQqNg4/jpfBAN2AqKL1iWBUNQYeKwZRVSOiGDFRVHSU+LGqC7T2hmmtvYZHu528at9JRFFjoqnoaFqsb1kSsMgiFlnAIglYJBGLJCLLAhZZQD7kOFHGbhXxOKVYfUnEapUJhwKsenIjZWXzuPKMC5AleObtRg683YQUH+AyAE0zEAUoy3dwzdllLJsts/Pd17HOXsbsAmdMb3Qfm17+F9so4wtzSsnMm8YZK4p44q0XePeja6hclAP4eeuFR1ndUMxNF52U1osjILYBBAiD5jwZVHRFQcJt89IZbMEf6cZtyxwvG48JLdLN5lfv4yc//V+e/eAAU6+0c8nFA0VXqX+P//vOd1gnFVDotWAYoEWj5C68nBPPnvyi6492I0kWvI6cZJsyrui6gaaDpuvo+sHj2FSr+LFh9CtnYOgGmm7EyhsGmmYQ1WLenqoaRFUDVYv9rGgGqqqjaDqqZqDEryn9r2vxc3FvMVYudl3TDUQRZEnEZhGxWESscuxnqyxisQjYZBGrRcRqkbDKAk6HFZssYrdZyQ10UOP/iJNmz2BxZSkWWcAqEy8fE1OI50uJP+cCiWe+3zkhvnm7EM8iOIi49fZKSMF9eC2lTC+NjQeU5jvQ4p6LqhkIQFGOjfMWF3D5imI8ThloZf3D3+MHqyIsWXYqUwvttG1/hxdf28Hca2/lxgtOQELksi//F0++8//42idXsur8xVibN/DSa5uZ84Vf8B8rysfnP8kEEgsrDL78fsg5yNmuQlr99XSH2lNMdH28dce3+daf3qPq7Gu4OPxntiqHJ+bRdRXNXsA133+YX11VTTiigQGSzUmGNwlmTyC+cBcRJUSWIzepuRcMg7g46XFhiomU1l+cNANNSxzrB4/VhMAZKFrMq1Pi53U9ltBHj3uXum70eaKx48SWUwY6/a4bxmF1+ramEuJeoEXEKgkxUZMlLJaYF+i0y1jlmEfZ990ixkVQ6hNQq5w4J/Z5n4ziM9jXYeO12t2UFkeZVjoxg6KJ32ECUYz9biNRnYJsGysW5PLxZYWU5fe3J5/Lb/0twtSneeODrWzaoGDPnMNNv/1vrll5ETNzY38cCk/9LH9+KIu/3/Mk67d+iOAu5jM/+QY3fPICSh0TcnvjiIFhaEMOeg4pujnOIlRdpTvUTmlm9VBFJxgN99Sz+cEdX+WshS5+vvIONh0pGZoBhiDi8GSS4c1hkju2A/BFOlH0ACXuiiHLaVq/eKCaeNVNvOIejP/FYoHaIcfx+KHSr75qoCg6qh4b+BHEeOxPFBDjnpgo0Hcc+5l+1wUkMXZOEPqXiV2TJQG3PfY6LMti/LVYQJJEZJG+V2kp/rotS8LAMoccW6SYbamMgACChK4lL+OfiIDDKnHRKQVcfEoBM8o8R/y9ZU1dyhduXcrnVIVIVEF2OLAc6lILNqYuvYqfLr2ccCgCshN7ume66YduHHkALcEwnm4Bmq7E93FPJTJZfPEVABg9O1F0juxICGBoGtFIGB0FJQqyxcIg4xHjim4YiIKApoMgyiSen6iiH4wH9osXEvfAdONgnC+q9o//DRTJ/seqJtDY3c7OulPodFbSunc3ESVWJyamsTY13UAQEkIlYJGkvpif1SLG44AHY4WJuF9C2Nx2EYts6bsmS2Kf92e1iEhiTDClhMCKAqIYPxYPiqkkxCaUCyJICdEV4sfi4K/Bxw2CgICIbiRvAuvsSg+/+tJc5k/1YhnBAyTKFhzycEoqYXdMvumMuqEPOad6SNHNdRWhagrdobYxN2wiECQZq9bFc7+8gU1/FYkadioXnc31N3yBCxaVDHnzmmbQHVDir7KJeGBMBPvihP2+Et6epvWPARr9Xql1dF2gvbOHzBmf4P3aDLqfqSUUjva9VifigIljTTNQdQNJjAmfTT5yPNBqEeMxQQGbRSTL48Cn+bG597Fo+hzml+RjkcHaTxBjP0vIEiTifgfjfQz4T3NoLDBxzmRikAQJi2QdMonKeDOj3NyFeCREtQgGGvIQmf2GDi+4CtEMld5w55gbNxHI+Sfxn9+/jWbBjk1U6Ni7gScf+iXXvraePz/4Nz6zOH/Quj0Bheffa6bLF0UQiMcBjb4Rar1fLNAwDERRHBDvs1pErFJMJC2yiMdqwWGTsCET7tpNReYpnHViPpoaxSJL8fJCvLzQJ5DSMb76rtrZzlb/hyydez1Tc46nwMrkQxJlbLKdiBrCMHRzy54UJqIEwRCQxcG9/CFF12XzYrc4CUR7Ymu/0+zDFjNmcsWXZw44t3JFCZd9/Bfc/+TbXLT4cgYb13c7Zc5alIcBWKREnJC+eGDsWORoNbG+PkSocQ2l3pXMKLUD9mO5tWHxhbtRVI1sR9G4tG8ycUiijFVyEFGC6IaOlGbP4fFEWA3GHDBp8Od6SNEVBYkcZxGBSC+BSM+kmO9ZduKZnFByGx/VNRMMQc4go6VWWaQsfzyGUgUQLTCOD46qx95OPLZMcwnwJEASJKyyjbAajolusg0yGZSQEkQUJKzy4KI75JMvCgLF3iq6Q+10h9vH3MCxQMCKJIIgSocNkCUWRPQn3FJDbYeVouICnOPjZCYdf6SbjkAzxd4pSEO85pikB32erhrESOJgmsnwRJQAoiBiG0J0h8kVLFCeNYN1davoCrZSljltjE08VjS6G/dT2+JD8e2n2a8RNer5aONmfJkWCqbMJN/Vw9sP3MdO5yyWzJmCxwr+5q3cf9tv2JixlF9feio5k3QwyBfupN3fyMLSFUPGlkzSA0mUsco2ImrI3J07xQmrQQRhFOEFgLLMaoIRH53B1jE1bnQEeP/BH/PN375IFyKBTh9+6T5uuOJR3AUL+ME9z3L9IpFg/Wr+745fErJ4cFoNfJ2dCEUn88Pf/5DrlpYk+ybGjd5wJx3BJkqzp6ddHN7kcCRRwio5CEZ7zd25U5xwIrwwGtHNcGST6ciltbcWTVeRxFTYSMPF0ut+xGPnfQNVkJBlGRENRdUQZCfFlTLg4dyv/5WXL9/Lti07aPIb5JTP4oQ5UynOy0jb7UBGQou/HlGQKHCVJtsUkzFAFGKeblcoNpBmkrqE1OFjusNqj112UpxZRVPvfkKKP0WWA0tkFFQyp2DoUrLDS9n0hZRNXzgxZqUAqhaloXsP+e5SXDZzqthkIBHTDSshU3RTnERMdyhPd9h3T5vFSVFGZVx0A2NqoMnYE9UiMdHNKDNFd5IgJ+bpKqanm+qE1ACiGJttMhjDiq4sWijMqKQz2IIv0jWmBpqMPRE1RGPPXgrcZbiskzyrz3GCKEi4rB780R40ffjNIU2SR2+4C1mQcVkHd3hGNMqS4yrALjtp6N47ZsaZjA9t/gYULUKeuzjZppiMIS6rF01XTccnxekKtSFLMp4hwrAjEt1MRz657mJ2t20yX29SnF1tG/E6cshxmaI7mXBY3dhkB13B9MyDcrwQiPQgiVbctsHfMkckuvmeEgo85exs/RBFi46ZgSZjz7bmtWQ5CyjyVibbFJMxxGn1YJMd9Jiim7L4Iz2oujJkaAFGKLpWyU5xxhT80V4aevaMiYEmY093sI0WXy15rhKyncNM7TBJK1wWD3aLk65QKs2XN+mPP9yFpqt4HXkMlbR+xDPny7Nn4LJ62NG8dizsMxkHdrVvQkCgImfm8IVN0opYeMGZtmlWjwd6IzHRzXTkDlluxKJbmT0Th8XNztaNozbOZHzY1boRUZCpzpufbFNMxphEeKEr2E48zb1JiuELd6EZKpnOMRJdryOXPHcxnaEWOgLNozbQZGyJqmEae/bitmVQ6k2VHBkmY4XL6sEuu+gOtpmSm6L4It0xT9c+RqILMD1/IRElyL6OraMyzmTsqe/eRW+4kyk5c5BEM/nfZMMi2bDJToKKj6gaSrY5JkfAF+5C0zW8YxVeAJiRfyJhNcSBzh2jMs5k7Knr3kNPqIPZhYuTbYrJOOGxZQAG3Sm3Z6EJxDxd3dDIcuYNWe6oRLc4s5IsRx71PbvxRbpHZaDJ2KHpKgc6dyCIItW585Jtjsk4ke0uQhBE2vz1yTbF5BAUTcEf6cZl9Qy7EvSoRFcSLCwqP5O6rl3Ude0clZEmY0ez7wB72zczr+hUnENMyjZJb/LcpQiCSKuvLtmmmBxCb7iTnnAHhRkVSMPs2nrUyVbnFy8jGPWzr33bMRtoMrbUd++myXeABaWnm0nLJzH57hJEQaTFV5tsU0wOwRfuxBfupMhbhSAMPaZy1Gllc13FVOfOY1vzB5xWfQle+2BbO5pMBFEtzObG1RS6yyjNrE62OSbjSJ6rBEmw0OZvJDZtLMW3PlEbefme+3h9r86JF17FJ1ZMI7ExeahlO88/8hCvrttLSPQye/klfObKcynLSM9M175wF73hLooyhl8JetSertvmZW7xqezt3Eqbz4wtJRtfuIutje8zo+AkclyFyTbHZByxWex47bkEo/60GFPZ9cwf+Pq3f8Cvfv4r7n9tG8H4XLdw/Tt859OX8sWfPk5dGMLNa/m/r1/Nx2/+E3v86TkhrjfcQSDaS2FG+bBlj2kvl8rsWXhsWWxqfBfDnDWYVLY1r0NDZWruXDO0cBxQmFFBWAnSlVLbZx2O3vQ2v//DU3jPv4pTc23oJPzyEKvu/D73bPLyrb8/x0uPPsjjL77GXbeey/7Hfssdq/alnaIYhkF7oBmXNYMMe/aw5Y9JdEszp1KRNYMPa98gqkaOpQmTMWJt7b8o9FRQmTM72aaYTABF3kpCqj/FRdfPa/f9nhe6T+BbN19ErhQPhgiAfxvPPrmO0jM/yRXnVMeEWPRyzqVXs7iomRdeXkM4zVQ3ooZp8zeQ5ynBLjuGLX9Mouu0ZlCZO4feSBc7Wz88liZMxoDGnr00dO+h2DuVAk9Zss0xmQCKMioJK4EU2yh2IN1bn+V3921k+Y3f4PzpXnT9YDpYrWMb2/dbqJw9nYJ+mys4C8uoKsyiac9OOtIse2xYDdIWqCffXTLk3mgJjnmr2LmFp+CxZ/Hu3ueOtQmTUbJ638sIgsDC0uXJNsVkgij0lKOo0Qn1dBXVYEetj/q2EMZwXqjWwiO//g17K1byjWtOwSMo6P3qhFtaaceCN9PDAHlyusj2ODE6O+lS0svVjapB2vyN5LpLsUnOYcsfs+hWZM+gMns2B7pq2NdhTh+baDqDrexoWUueq5jZhScn2xyTCcJlyyDblU9nsJnIBC0H1nSDx//dwH/fsZV/vFLL7nr/oDl39r/yR/74hsEnv/qfLMgGVR1Y0IgqqAKIkjhw7oUkYZFEBE1DG7c7GR+6g234I93ke0oRhpmjC6MQXYDlVZcQjPayoe6N0TRjcgxsbnyXVl8Dp1ZdhEWyDl/BZFIgSxYqs+fQ6qunZ4LSPMqSgNMms6cxwN0vHuD792znlw/v4qM9PQM93+41/O4XD5F58df44oVTADDi4poQWdlux6brRMNRBuz2pmlENQ1cLlyjUqWJZ3/ndjLs2eSMMIf1qCbFinWCVwAAIABJREFUTc9fSLF3KjWtG2jx1U18XFFXiUQVNM1AstqwWqQjzlw0dJVIOIKqg8Vmx2ZJ74QwgWgv25o+wGFxs6j0jGSbYzKByKKFKbmz2dz0Lt3hDvI9w09ROhYEAcS4+EmSgM0mIokCNotIU0eEpo4W3tncwewKDytXFLNwVhbBjW/y6tYGWut/w8dO/gOaBobWw76eHvjrV1j+1r/43o/mkCcptLd2EDDAkXhgfd00d/lxVpaSb0nx+cf90A2d3e1byHUVj3jjgFGJrihKnFH9Ce5bczs7WzdOnOgaCk1b3+KRBx7kxXc20xoQKJmznGtu+BJXnVFN/82Pw00beeAvf+Kxf2+lK2yQNXUJn/riTVx1+nTs6fPZDqC2s4btLes5d+a1uMxlv8cd5VnTCCt+2gN1TM9bOCZtapqBqusYSPiCGobkIajaaO9RCUcVfAEFUYw9MLIU+x4IqazZ0cX6nd1Mq/BybsF0brjle/gVDcOA/9/eeYdJcZ35+q3U1TlMzpkcBYggEAiQUQAJ5SxLtixbsvc6aK219969Duuwa13vveu4VrStXWutZCRkCxkjogRIIg+IoGGYnJjUPdMz3V3dVfeP6hkYhESaQKj3eXiKrnDO6Rnqx6lffef7BEEkHj7IixWNMG4OS5deQVl+GVPHxnl55y7q2m8nLdVsq+7QTnZW9jLjrhm4L6D7MpHQqGrfz+j0KaS4hkF0AcZkTifTk8/OuvVcljf/UwuyDRrN2/k///j3rGzIZOG8RUyKVPDW67/moXU7iKx4lYdnJmPlgnv5yaP38vMPVJbffzvXpXSx9qXf8uh9e+n579/zyJV5Qz/WQSaua+ysW48qqUzJnYdwvq9Kshh0VDGVFPso9tdVUejuxjBkYvE4Mc0gFtfR4gZaXCem6WgJHU0ziCV0NM081ndOPKEn7QEDAwEMA0EQ6I1EMNLnUh/N5aX1tWiazqHacL/Y9tEnwlEtQfPRMI1Fl/HIYzfgsB3zB+Kdb7D92bfgqnv49mM34CHGsts/w3Pf+wP/9uQkvnHr5dja9vDMv/yCqpTr+O4NE7mQnkObumqIaN2kuXORxdOz+c5ZdP2ONGYWLuGNvc9S03GQ8Vkzz7XJU2LYs7nlsX/nwdLpTC7wABFunPQVbv/mczy7Yiufn3k9ErDvtZ/x63Xt3P2zt/j3B6cgA5+9Zjx3Xvs5nnl+FTfMepjcC8wObe2q5/3qNUwvWHRaSw4tRgbDgFhcJ6YliMYMYvEE0ZhONK4P3GoJYppBVEsQ1cx9Me3442YbsbgpkLIokiBGbef11B/Waa6qwabYkESQRBFZAkkUkCUBMbmVRAEpubXbJFwO86WVIosocvIcSUAWRWw2mZ5wF2/+YTdZxSLL5+agyGCTBQ7VdeNQTUk0AF03UCSB5fNyWDY7k9Jc98eE2YjFSZDASBiYkWA2rnzoh/zg8N/xoye+zNqnAoiRLsSs2Xz3lz9k6Sj3cP+qzokjrfuwK06y/ad/Lw7KQucJ2bPYcuRN1hz4I2MypiGJQ7t+WvAXMm9h4XF77EyaNIUsr0RHeztxQKKB9W9tJpG1mJtunNL/RVNGL2bZlbk8vm0rNa0PkJtzYanu2o9eRRJlpuTOs16gnYCBuTrIMMDQDXQDdCO5D1MkDAN0wzxm6EbyGkgkjgmdOWM8TgSTs0ZTAJPbeHKbFNBYUjT7rtXiBqIgoCgCNlk0/ygiqmKKnU02/VGbImJTJBRZwGWXCLgVc58soSoCitJ3roSiiEiCiCSKrDm0i/UVr3Dr4nlkenIR0BFFAVEAQRAQRZKfBQTBFOLTJRTSEaONeJQyctNMsy49oCZ/lhBP6KiKyPSxfu5fUsCYfA+KfPL25dQlPLV5MwQK6KuRq6SM58s/f51lj5azt6IBIVDAxCkTKUhxntub/RGgsn0fdsVFrrfktK8ZFHUsCIxhat4C1h16hfLGzUzNnT8YzZ4R9fXVdIZhyqhS09ONNHC4MogrfzSFx6/MU50UFRWiv1tPfSgMF5Do1nQcYlvNWsZlTmfCBR4mltAN4gnD9BKTfmIiYfTvj+sGiXhyqxvE43rSd+w7xxQ4La4njxtoCZ2EDvG4jpY8Nx7XzX6S18T7+kuYj9gJ3UCLG+iGgSyKqDZTJO02CdVmiqVqMwVQVUQ8Tpk0JfnZJqIqEjabgCpL/Z9VRcCuSEjyCWFRwuClqCnOTGdLXYiIUY3fXQCD/FBuGHDcmgZEUUCL66BKTCrxcdP8bBZMTvvYzPZEBMlF/qiPF0qVbB6Kp1xB8ZRBHfawohsG9Z2VOBU32d7CU1+QZNCmpHOKr2VX3UbWHnyZ8ZkzT2tlxqDRdYC/vPYmLe4F3HND8rcYCtHWG0PJ8zLggUWUcHg9OHqDdEbiJ2vtvGXtoZcQRYF5pTcO+dPE8WjJWV2/Pxg3/cHYccJn+oTHPMPYAP/QPD+eGJipQzcMBJIzVEAwkt5i8jMGGIKBYNA/IxX6tiL9j8i25GxQkUWcdhGbomCThOR+EaVvhimZf+/bb5NNgVVk4bTiK88n0t25+OwZVB4tZ0rO0C+OkQWBCUUels3N4jPTMvC5rTwfTaEjROLdFKdNRDqDvCeDdudme4uZln8VGypW8EHN28wtWTpYTZ+CCFte+H/86s02bvz+r7lpTHJFiG6Yj5Ufu5cERElCHMlFL4bOqZf2DORA8zYOtGxjbOZ0xmXNOOk58aQ4RrQ+r/BE//DY43FUO8FPPMFfjGnmrFGSBBTJfFyVJBFZPOb/SUn/UJIEFFFESvqIigSiKCJL5iOzKMrIsoBNMvfJsogsgnzCZ0kSUSTTY5Qlsz35uM99/qQFZLrzCDgzONiyk+FI8zh7QgrTxvjJTXdYr26TVLcfIKL1UnqG1VoGdbq0aPTtbK1azQc1f2NSzpzTyrhzrlS8+X/56j/9N7l3/ytPPLKQ/nQTdhWnLJHo7mHguh0dLRIh5nTiVc/96/d5hn1+4THPsM8/7DsOoiTR0Z1AdqbRFZVp64LOUDcRzUDTEklvcKAwahpE4hq7ao5Q23EFjsyreKKqgqgWH+ApanEzj1Pf7K1/NqcM9BLV5KzQZhNxqjJ+9/H+omQeU/rOExGSPmGfPzjAMxywNb3DvnNESxyHFK8jlQx3Pnsa3qGpq5asIYrX7SMjoJ76pEuMI2370RIRxmWcfBL0SQyq6HrtKVw9+g5WlP+G8obNzC1ZNpjNn4BOzYZf89DDPyG66Fv8/sdfpMh13GF/OrlpDnrqq2jqgZK+JdHRCA01dZAxhwKf62QNDyAcSbC7ojPp/enEEwzwBvviG7W40e85xuPHPEqt/zydhAFdXT2kTvk8G4/4qfjjfhSJfpGz9wlkvzco4nHZ6O46QntiI1eMn8nCMWOOO09ClYWk52iKah8X2NOyxVlQmjaZvY2bOdi0bchF12Ignb2tNHZVkeUtJM2dfUbXDroxOKNwMVurV7Gh4jXGZ11O4DRXaZwZOnXv/pb/8ciPCV35LX77i29zWfqJ7z2LmDGrhPBvtrJ561GuWGRW6Oxp/IA3N9YwfvHXKEi3sb8qxO7DITICKqk+G2k+G2leFTUZaxiP6+ysCPbP8BQpOWtURGySgNMuYVOU5Btp0x885hman/vOd6o2GhpqeP1nP+Wry37IHXcuPuU3jcZ7+P37b5CVU83t8/6OPJ+1GMLCZEzGVCRB5qPWXSwYdTPnfSWJi4imYBXNoWquLF2OeIryPCcy6KLrd6SxePRdvLD9CdYdepWbpz466AH8vVXr+d7j32JlVYB7bxDY/OIv2BBLYOg6iiePhTffyaQMlfl3PsCs332Rn/+vr2P72l2MUltZ9fRPWBOdxo/uvZ4cBWKqGa5T29LL/qouunrjdPXEESXI8NvJSVWZMdpPXoaDrBT7OXuKtr7Z6GlORbdW/Y3d9Vu5btxnyfONOae+LS4u0tw5pHvyaA7V0dHTMkQTHIuT0RCqJBRpZ1zW5Wd87ZC8Ap+Wv4B9jVvZULGCCTlzGJMxOEsV++gNtdMZE/F7I7z70n+wIa6bcZiJOI6smaTPvY1JGTKuSffxm6fa+db3fsW/fG0tgiTgzp/D95/8Zx5aYK5GK8p2UZTtQksce+Me1XRC3RrNHVFaOqLsrAjy1vstHA1GsSsimQGVjIBKZsBORopKut+GS5WTweYiNsX0P8+V5q5aVn34O4pTxg+xVWNxoTI+ayZrD73MkfYDlugOE71aD4db95HtLSLNdWbWAgyR6Kqyg8VjbudI2z7eKH+a/CufwGkbvJUmKZNv45Vtt53GmSKjr/86ry7+Ag21tYR0D/kluXhOEsitSGZIUR+ZAZVR+QPHrOsGbaEYTW0RGtqiNHb0sqsiSEd3DLtNwuuU8ThlvE4Fr0vG51bwuRQ8DnN/wGsDDEhEwPj0BHYJPcFf9v2WWDzCojF3EnBmnM6PxuISY3z2LN4of4bajoNMy1sw0sO5JOiOdFBxdBdT8hbgVv1nfP2QBXsWp07gytIbWfXh82yoWMF14+8fqq5Oiai6ySsbd+7tiALpfpV0v8qk0mP7DQNCPRqtnVGOBmMc7YzR3BHhcEN4QDSPKIqEQyG8o2+mstPH/tpevA5I89pQbQN9oR11a9jbsIXL8q6ybiaLTyTTnUuGO4+GzkrC0aCVAGkYaAhWEoy0U5I64azqEg5phP1Vo25jb+MW3j28krGZ0ym+SOt4CQL4XOastjR34LGeSIJQj0aoJ044olNZrYERp7XL4J3drbQGe00PWYSsgEpumguns5d3ajZgF9NYOuGBkflSFhcEimRnQvZsPqhdQ0u4nmJLdIcUw9DZ27iVdHcOmadR+fdkDKno2hUHyyc/wq82Ps7q/X/g/pnfxmnzDGWX5x1Ou4TTLpGVDFlOt4foqlzN9LwF3L0sn85ujZimEwzHaO7QaGrv4S/bP6C2tRiXdDX/2thOmr+LzBSVDL9KZsCcaTtVKbkuf/A8ZIsLD1EQGZ81izWHXqSqfT/FKRfnxOZ8IaL1sLt+E6UZU8g5y4RTQ76WtDRtIteMu5c39j5H1oE/snzyw0Pd5XmPwbGVVf7kcsqMgMqoPHi38l2Mlt9w2/RruXXKHMI9MvVtPTS1RWhqj7K7opPObg27TcbjlPA4FTwOCY9LIeBW8LqUpK9s+sjHx+5aXJxk+QooTh3HrtpNzC68BodyYWXqupDY27CFmB6lNHUi6mlU/j0ZQy66oiAyv2w59Z0VrP3oZbJ9Rcws/MxQd3tB8lHLLl4vf4aClLEsGXsvdsWB3QepPh+TS449NhoGhMIaR0MxWjujtAbNbVVjuD+3gWCAkcwuleK1ke5XSfPaSA/YSPXaLvjqGRbHSHFmMi5jJqsPvkBLdz2FASu0cKjYVvM2XjXA+OwzDxXrY1iyprhsPpZNfIjGUBUr9z5LhjuPotRzf7F1MdEWbuS18qfAMLhp0hdJd+d+4rmCgBkZ4VYoyxm4qq7PQ+7qiRPqiRMMawS7NeqO9rK/usvcH9aQRIGsFDtZKSrZqXayU+1kBuy4HJYYX4iUpE/EWeliV90GS3SHiKZQNXWhw+T5y8jxFp91O8OWqirLW8itU77C01u+y+vlT/O52f+EWwkMV/fnNbF4hDf3PU91+37unPZ1RmVMPeu2TvSQ+4jHdWIJAy2ZIDvYrdHcHqW5I8Kew0H+tr2F1k4z9C0zYCMjoJIRsJMZUEnz23Cqcn9eBpsiWh7yeUZJ6nhyfKXsqF3H9RMeRDnNKgYWp8/exq30xrqYln8V57L6b/jyA2LGFF4/4QFe3/MUqz58nhsnPHzJl5sxDIP1H63gveq/Mq/0hiFbBCHLIrIMJDP/Z/hVRuUN9P4ShkF7MEZj0j9uao+wpyJIR7eGQxXxOBXcDtmMO3ZJ+N02vE4Zr0sxt04Z2fKQRwSnzUtx2kRqKw6xv+kDJufMHekhXVRoiRiHj+5BkVQmZs85p7aGVXQBFpTeTHOwhncr/4wi2NEN/dQXXcS8U7mSVft/z5jMaSwd/7kzXsc9mEjCsTjkycfFIeuGQVc4TmswSmvoWDxydVOvmVkNoz9TpSRCitdsI91nI91vI9VnecjDwZSceWyufINddRss0R1kqtsPUN1xkMm583DZvKe+4FMYdtG1yXaWT/4SYa2LtYdeJpaIXJKzXUmQ2Xv0XV7b8yRZniLuvOxreOznp90iCkK/h3xiHHI4kqCrR0vmrEgQCsfo6NJoaO3lYHUXwWSMsiQKZKbYyUlRyUp6yNmpKg5VvgR/+0NDUepY0t35VLcfoi3cQKorZ6SHdNFwpO1DOnqamVFw9Tm3NeyiC+Cx+7lr2teJRHv4m1EzEkMYURTRxs669ZTvOorPkc79M/+BjOEqXz/IuOwSLrtE1gn74wmdWLIqrRbX6ezWaGqP0NIRo7wyyJrtLRztjOFUJTL8Khl9PnJypu1QJWzJ0jeWh3z6zC66hpd2/pw9DVtYOOrWkR7ORUFnbxvbatdSmjaRXN+5F4MdEdEF8DnSuGfG3/OsvIaBRVwubgRBIJaIsr12PfMmX8Z90/+RHN/pF7W7UDArPdDvIaf5VMpyT5LLIhijsf04D/lwiM5uDYdNwuOQcTkl00d2yvg9pofsS+a28LqUU9boutS4LG8Bqz78T/Y1bmVG/qLz9unpQqKytZya9v3cOe0buNVz/3mOmOgCBJyZiMKl9eJFQCCa6CXgLOTuGY9R6Pt40b5LBVEUSA+opAcGesiGYRAMx2kLxmgNRmkLxWjtjFHX0ttf4RfdLOktiZDqs5Hus5Pu7/OQVVTl0vp31YdL9XJl6Y38ed9zVLbvY0rOvJEe0gVNQk+w7qNXyfWXMeYcooqOZ0RF91LESGbAubL0Jkp8F3Ap1CFEEAT8bgW/W6E097g4ZAPCUTPfcXdvnO6eBJ3hGJ3dcRraezlQ00WoRyMY1pCTccjZqXbTQ05RyU514FCli76qxqTcuaz76BV21q5jfOblKJJVaudsqWzdQ3X7fuaX3UT2ID2RWqI7zBiGgV12kOKyUjWeMQK47DIu+8f/2faVVDcrECcIhuM0tZlxyOWVIdZsi9AajOFQpX7vuN9D9tlw2KUB9eQuZA85y5PP9PyFbDr8OlePuZs8f9nwdW4kiEaiJE5wDAVJQbUpHKsBYKBFewmHe9EFBafLid12/snR+orXcKs+pubNH7Q2z79veYlwKUZsDCV9HrJDBZBJ86mUnrBaTzeSHnJbhKb2CE3tMfYcDhIMazhU0zt22WXcDtNP9rtteN2mh+xxyXhd8oCcy+crkigzPns222re5p3DK7lr+mPD1nescSM/+oefsa21l7huKm8iFiNz5h1859tfZmwKgEbVlhX88hfPsfFgMxoqhdOv59GvPsqSiennzZ1R3X6QI217KUgZS9kZVvz9NCzRtbhkEAfEIR/LZaEbBqFwnLZglNagZnrIwSh1raaHbOiQMHSMZEn6VF9fDLI5UzbjkM8vMR6TMZWi1AnsqtvEknH3kjJMVSUiDbtY+fp6hLlLmV3iMouyanEyMlOxJVPPHt32Al954O/Zn7aYL3z+Nrydu/mvp37Kg3tbefnVJ5iXbR+WsZ6KHbVrCcdCzC+9kcGsP2eJrsUljzjAQz7ugAHhaILuHo3u3gRdvXGC3TE6w3Ea2yIcrOk2c1uENRRJOBZ/HDB95Kzj4pCH261QJJWpefOpaN3FpsOvsXzSl4alX8MA2Z/HjV/9Md+5vhDD6E/BZP4M9E7e+M2/8o5wBU8/+RR3TPIBCeYWytzy8DM8+ecvcMXDkxnp/8Iagkcob9hCvr+UMRnTBrVtS3QtLD4J4Vgc8onzxLjeF4NsJOOQY0kPOcqeIyFWb2uhNRTDpUqkB1QyAzbSfWakRprPjENWk/6xahsaD/nywqt55/BKdtZuZEbBYnJ9w+PtGggooiktwgnfKxHcyeo19Yz9zDe5YmLf04bElFlXc1nx02za+B7hL0zGM6Ieg8GOmnU0hqp4ZN6PkM6iOsSnYYmuhcVZIIsCsk3Ckcwrk+q1UZpzkjjkrhiNbdFkPuQI5Ue66Ow2X+i5HDJuu4TbLuNyyPg9Sn8FEq9LxueSkc/BQ1ZEhWvG3cvTm7/De9V/45bJwyS6kSAHd21isycXQ3aTlV9IQU4KCqAdPUzVUZWcklz8xwmrmJJBQZqfdbXVtCaMk9YxHC4aglW8c2QlU3LnDXpRXbBE18JiyBBFwZzd+lQmlxxbr28YEAxrZgxyMEZ7l/n3xrYIumGg65DQdXTDzIeclvSP+zzkNJ8N22l6yOOzZjIu83K216xlWv5CigJDGxcuOf1kemHrH3/K3hejdLQHUbImceej/8Bjn12A2N5BpyhR5nYyIJDNbsfrVKE5RCjOiCmTYRhsqnidaCLK3JJl2IcgIbwluhYWw4wg0O8hl32spl4yDjmSINwbp7NbM5dQt0U4UNNFMBwn1B1DlkSy0+z9scjZydzIZhyy0O8hK5KNJePu4lebHueDqrfI95UhiYN32ze2R/DYZdxOs01n2Y384vUZRCUZEZ1w/Q5+8/3H+edvfgt/0at8ziWdfP2pKCKKwsfsiOGmrqOCLVWrmJR7BWOzZgxJH5boWlicRzjtMk67/DEPOXGchxxL5rJobouYHnJliNUftNAWiuG0J3NZJP9kpjhwOwsp9nyGDQc2MDV3KaMyRg3aeNfvOMrGPW08clMJk4u9iGoqZRNTj50wbgI/cLaxe9Fj/GXNbu681Ytbj9Mb7kUD+t1SLUZvTEPwefGNoCr99cB/ocp25hRdN2Q5iUdcdAVBQJIunbR/giAgiuJxb3UtLE6NJApINgn7AA/5hDhkHdpCUdND7ojQ3Bah/EiQ7h4DzVhIW4eHX762nTllHhw2PZk5zobPJZtesltBFgUEDETB6K/j92nUt0XYV9XFd5/bz+1X5bJ8bhZux0BZcaTlkuo1CIYjyBn55NgjNNU2ETTA2ddFWys1LSFSZpSSMUL5NPY1bOVgyw7GZl3O+KyZQ9bPiIquIAjEYjHWrVtHdnY20Wh08Nrui6sbjN+fwaAk5RFFkZaWFlpbW0f8Mcri4kMUORaHzEAPubM7xovv7+H9yvXUBu3ke2fT2N6NrhvoukFCN2fTiiLiUhJE3RMJ6uk0tEdJ9yqfWOC0/mgEWRLoCms8++cq9h4JctfV+Uwp7utfp+q9t9kTzGbppHwCmfnMutzFv723iQPVd5NdZAN09m57m/erbFz9+OU4RuDW6I6GWH/4NQCWjL17SPsacdHNzc2lvLycH/zgB4M2+zMMAy0RJZaIktA1dENPtm2cUjz7xFoQRARBRBIkbLIdm6QiDEJynng8TkpKCh7PpVWK3mLkEAQIeGzcMuszNMRWYXO9xdJZc/CoxfQkc1mEexNmLHJPnLrmTlR3BnVdHn73ZjUdXTFkWSAn1fSQc1LtZKfZSffaaA+ZEyVRFDAM2FzeQUV9mBlFGqN99TSWr+GpX/4R+1WP8LnrpqDINm568B5+99CTPP5NH1++60psDe/z258/SeLyL/HF60YP64q0vvv9/aq/8mHjVpZOfJB8/+DZLydjREVXFEVWrFhBIpEY9Mdtw9CT8mrQFemgKVRDc1cNTaEaQpE24nqcuK5hoCOLCrKg4Fb9ZPryyXQXkOkpIOBMN8UXBkVw+xBFEYfj7Mo3W1icLRnuQq4d83le2P5T/nrgFW6d8mWcqoxTleG4jIXBQpnnfrqRUSXzeOzOe+iNanSEojS2x2huj7D7sBmH3Ngaobkj1m9DCALYFIG2zhir98Ar1VVU79zDgvt+wOPf+AIzs01vZOIt3+GpkMT3f/Yn/vfXX0SUnYya/zV++71vMD1tcGNiT4UoiDR1VbP64AuUpU9iQdnNQ97niHu6Lpfr1CedIwFSKMgqPfWJFhYXOTOLlrC3cStbjqxiXOYMJmTN+tg5AmDoCWRJx66AXVEIuBVKTihEsf1gJz98/gCh3viAxR2SJJDQwZY9h8XTlvCdz45iXP5x97ktwKIv/pT59/5P6hvbETzp5GT6hl2M+nJb/3Xfc8R1jSXj7sNl8536wnNkxEXXwsJi+JBFhevGf5bqd/fz1ofPUxQYi0s9udCc6uGzNRglGjf6H9ENw/SFdcMgJ9XO1DIf44o8KOLJG5JdKRSWpZz02HAgChJbjqxiX+sW5pYsH9KXZ8djia6FxSVGfmAUi0fdwZ/2/AfrK1awdMKDZ9VOU3uU3mgCBBABt0NhxmgfcyelMCrPTWbAftqLOIYfgYjWw4aKFeQXFLBo1G3DlvnPEl0Li0uQWcXX8mHzNv528L8pSh3LhKzZZ9xGeyiGzyUzrsjLwqmpzBgTwO9WEE8j1GykEQWR1u4G4nou1467b9iysIEluhYWlyQum5dlEz/Hs5u/x592/ZrAnIwzrtW3cFo6ty7IpSDzwnwpHNdjzC1extScq4a13/N17m9hYTHEFKWMY/nkL9EWbmJl+dN0RdrP6PqpZb4LVnANQ8djD7Bg1C3D3rcluhYWlzDTCxZyzdj7KG/YwppDLwGXRlUTAwO/Ix1FGpqlvp+GZS9YWFzCCAgsHH0rLV21vH3wRfICJYz2zkZVVZ555hkqKyuRJOmCX7YuCiKyZAMDEHW279hOpDcyImOxRNfC4hLHrri4dsIDNHfX8crOX3HHRDuLFl2NIAh0dnae9JrTWcZ+MqE+k+Xvg3W9LCl0RdqpaN1LXNeYkDmT3NxcFixYMCKLlATjQv8vzMLCYlD4qGUPv3//RwiiwAMzv01Z2tSRHtKgEEv0surg79hU+QZzS5Zy8/ivjOh4LE/XwsICgFEZk7n/8m8T0yI8/95PqGjdPdJDOmfiepxXdv6a1fteYnrOYpaOfmikh2SJroWFxTHGZF7Gg7P/CU2P8futP6aybe9ID+msicUjvLLzF7xIBxlzAAADTUlEQVRb+QZziq/j5kmPYpNHvtKwJboWFhYDGJc5g3umP05c1/jdez+isq18pId0xkS0MCvLn2ZT5UpmFV/LLZMfxa44R3pYgOXpWlhYfAK7697lD9ufwK64uHnyF5mat+CCCCcL9rbx+p6n+aBmNdMLFnHHtK/jHIJaZ2eLJboWFhafyIdN23hh2xP0amGuGXsPi8fcOag11gab+s5KXtjxb9S0H2BuyTKWT3oYx3kkuGCJroWFxSloClXx4o6fU3F0FzMKF3Pz5Efx2kcuO9jJ0A2d3XXv8PKun6ElYlw7/n4WjroVUTj/SoFZomthYXFKgr1tvPXhf/LOkTcoTh3PjRO/QHHqRCRx5EWtOxpi0+GVrD7wX6S4srhp0sNMypk70sP6RCzRtbCwOC20eJR3jrzJn/c+gyrbmVW4hPmlNxFwDV+GruPRDZ099e+y8fAKDrXsZHzWTJZPephcf9mIjOd0sUTXwsLijKhsLecvHz7PoeYdpHtyWTz6dmYVXossDV+pncZQFav2/Sf7mrYiCiJLxt7N3JIbcNrO/9qDluhaWFicMVoixraat1l98AXauhspTZvIknH3UeAfjUv1nrqBs+ozSmdvK+9Xr2FDxavohs7E7FlcP+HzZLhzh6TPocASXQsLi7Omo+coGz76Ezvq1nM0XE9J6gSm5V1Fadpkcv2lg5LFq72nher2A+xr3Mquuo1EExHGZFzG/LLlTMy+AnEQi8YOB5boWlhYnBO6kaC2s4IDzdvYU/8Ola17SXVmUZo+mZK0iWR6Csjw5OF3pJ+WQEa0Hlq66zjaVUdtZwWHW/dwpO1DHIqLybnzmJA1i7L0KXjtgVO2dT5iia6FhcUgYdAV6aQ+eJitVW9R3rAZwzCw21yokgOnzU2mp5AcXzF2xYkiqoiCiKbH0BIxOnqaqe88TGfvUSLxXqLxXiJamAxPAXNLrmdc5uWkurNRxOHPgTuYWKJrYWEx6BgYdPa0UtW+n7rOj6jt+Ii2cCOxRIR4QsPAwDB0DJJJ0wWQBBlFsuGyecnxlZAXGEVRYDR5gdHI4vC9pBtqLNG1sLAYFmLxCEfD9bR1N6IlosR1Dd0wkEQZWZBx2/1kevLxOdJGeqhDyv8HGk7VznIm7G4AAAAASUVORK5CYII=)
All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain
![](data:image/png;base64,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)
All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain.
![](data:image/png;base64,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)
All functions are relations but all relations are not functions.
Is the relation shown below a function ? Explain.
![](data:image/png;base64,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)
All functions are relations but all relations are not functions.