Question
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals square root of X plus 9 end root](data:image/png;base64,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)
X | -9 | -8 | -5 | 0 | 7 |
Y |
Hint:
First, we complete the table by calculating the values of y corresponding to each value of x from the given equation. To make the graph of the function, we draw perpendicular lines, x axis and y axis; then we plot the ordered points in the xy plane and join the points by a smooth curve to get the required graph.
The correct answer is: 0,1,2,3,4
Step by step solution:
The given equation is
![straight Y equals square root of X plus 9 end root](data:image/png;base64,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)
Putting x = -9 in the above equation, we get the value of y as
![y equals square root of negative 9 plus 9 end root equals 0](data:image/png;base64,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)
Similarly, putting x = -8, we get
![y equals square root of negative 8 plus 9 end root equals square root of 1 equals 1](data:image/png;base64,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)
Putting x = -5 we have
![y equals square root of negative 5 plus 9 end root equals square root of 4 equals 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKIAAAATCAYAAAATZNbLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAs9JREFUeNrtmU9IFFEcx4dFRMRDYeHBwFg8SEiXWjAKRIgQkSVCyYjoUIeIDtKpQ5IgUXSwQ6eoCA8VSH88iJ5ERCKMqJCIKKJjB6Ggw7osln0ffBfWYabdmX2/92by/eDDurPDvJnvfN/v/X5Pz0tetIDN/5g0abmtYwQsei6clpZjHpx3MjgtbcYu8JOfLpyW1uICeKHpWqZrn16wDIqgAJ6CbAq0HDRQDx6mHr9ACbwHp5NsRFXPDGk0oqk4Bj6AHMiABnAOfAJtCdZSNTMfDWi1BE5xPBX7wEseS1zsBWugKUFGrPUab0Ky3zC4lWAt73LC2OiQO8Cq/+ADcDLg5FFw3dCNXQH3NF7PpBE3Qo6r7PjWwkuuRUu1XC5YWD0qo+g/cDZg5jaDz6A1Yv0Vtw57B/pTasSv4EDIrC/UUctKadnIbNQR8Tl13ushLs9bYgBM+45dA2MCs6Al4Fg3+M7aSqcRSyyQ58DlkLF1GFEtwd/YsGTIILNhSTCjxNXyJrhkqZ72WDKsMCtviVYW2+XYzVnepHHwTvCQD33E99sNcFtoNjYwW42xeegSmvG9bBCKZJrPXBB4kfVouT8gE5k04k4wwwYvMCoFm2R9qPOFXaV4am/rte83lU0OGupulwwu7+WZ7yVIyxUaOc5z1rs0Z2nCzn+dtMwTs8yGGSEzXAR/KrY1esAXzctypAJZ0Ih9YELwWeJoaev/y11soJqrnTgF8uAROCNsBpV9H/PvO2DckAm7OclMGVHtOLSnQEvppbmNpUpNyWaU2zirBgxxH6zzxtaq1G1x4zk7s3Lz0E8TnhB4QQu8biO/t7MmzadES2kjzka5r+O8IRPi7QC/wTPwSmiMYW4/qT2+H5yROaGxjrJR2WCX/oRNgZcSLaWNGKkUyAuaIqwm3azSFLnYhlrOcSkzFTmKt8f5yGlZWcTPWhh3yHnIaaniL2wxTZx6Lya/AAAAyHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT55PC9taT48bW8+PTwvbW8+PG1zcXJ0Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjxtbz4rPC9tbz48bW4+OTwvbW4+PC9tc3FydD48bW8+PTwvbW8+PG1zcXJ0Pjxtbj40PC9tbj48L21zcXJ0Pjxtbz49PC9tbz48bW4+MjwvbW4+PC9tYXRoPlZQp8MAAAAASUVORK5CYII=)
Putting x = 0 we have
![y equals square root of 0 plus 9 end root equals square root of 9 equals 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJUAAAATCAYAAACZS0+KAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAuZJREFUeNrtmU9oE0EUxpcQJEgRJYqHCkrw4KGIoAUFJRREipRQSkU9SBE9iKceBRUFEaEHFQWhaCkeVCgRL6JeSig5iCIK4kEU8ShFUPBQS/Hf9+ALbpeZ7SaZmZ2m++BH25lN5/HtezPvTYLAP+sCf5cJy0mXFW1HQC3ILNPFoD0FJzMZMl1M2XrwnT8zy3QxYqfAI83cGnALvCDjHLNhZVAH82AOVEHJU11c+9oHnnAtWfMDuA6KvgaV1AzDmrlpUAn9PcAx03YAvAO9IAfy4AR4DzZ6pksavoovQ2BVaGwHeOZjQG0BX0FBMXcI3FCMS4YcTfj/k3ZArzSZLj6MeaaLT77+iA5MgMOKB0fBZUdOnQG3NXNVZqVqK64aDqpfmnHZCV6nEFRxuvjia4m74yIbUUT2ap6XRc0LMn0v8gb0a+a+RbbbhsnYrOGg+gR2KsY3s45Yag2XuqTtqxyxxxknB6OTMjAVGbsAzluI6i7FWA/4wpqgmYwUWzAcVHJ0fGYBnCMDzPwFi9neii5p+RoNvlHVQ0UWfA3bwCwoGHRkK5ikE3sjc1fAtRaOpIAdiOlMLLMgnSdT9H/OwgtqRxfXvkZtHRhkN15WPRB24qou+tp4Yeconty3vIzMSbbtillvVnP8FSwcfzorULzAI11c+xq3yyrXq7PgKnGXylmK7tPgT6jl3Q0+xmzxjUK9X9NSVx0FlTQFlyxmfSu6pOVr4hPjLu+B7oFjlh2QXfE+f78JLi7x/JCmA5q0cKWgM+mCuz3TJU1fw7adxbry+kCuFt46cOIO+MkslDuYbQk+U6OPeR6FZ8FMk8VlEpsOFl/udbNhqXioSxq+zrBByPM06+MxPaJ6eJDCuxBvLfgNHoLnTRSFE8H/ryPGNR1Tu7afASzNgVzoPWAmBh7qkoav+8DjUGNQY8eptEoTL9iE1ePa0RVsHaWLfEm4x+F6vRRvUxZHnalLD7c01zacxVDn6fIPAMY9Kb8Odo4AAAC3dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bXNxcnQ+PG1uPjA8L21uPjxtbz4rPC9tbz48bW4+OTwvbW4+PC9tc3FydD48bW8+PTwvbW8+PG1zcXJ0Pjxtbj45PC9tbj48L21zcXJ0Pjxtbz49PC9tbz48bW4+MzwvbW4+PC9tYXRoPuglo/0AAAAASUVORK5CYII=)
Finally, putting x = 7, we have
![y equals square root of 7 plus 9 end root equals square root of 16 equals 4](data:image/png;base64,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)
Completing the table, we have
x
-9
-8
-5
0
7
y
0
1
2
3
4
We plot these points on the xy plane
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAksAAAFZCAYAAACIS2sPAAAgAElEQVR4nO3de3RUZ37m+2dL3O9I4n4xqCQMGIMBATaWcBvbSPa0m05H0y057gzOnJCgM5k1OWHBkk+fbpxhoZHCZM7pXgOrlelA0salpJXE7u5pC2xjmyqDEQJj3BiDqgoh7iCBuAsQ2ucPoY0KVRW6Ve1S1fezVi3XvtTev9dC0qP3fffehmmapgAAABBQgt0FAAAARDPCEgAAQAh9gm0oKiqKZB0AAABRobCw0G85aFgKtDMAAEAsC9RZxDAcAABACIQlAACAEAhLAAAAIRCWAAAAQiAsAQAAhEBYAgAACIGwBAAAEAJhCQAAIATCEgAAQAiEJQC9RkFBgQzDkNvtDrg9JydHhmFYr5KSkghXCCAWhXzcCQBEi7KyMvl8PjkcjpD7OZ1O5eXlRagqAPGAsASgV8jPz5dpmkpLS7O7FABxxpaw9M477+jEiRN2nBpAL/Tee+8pLy9PRUVFunz5sn75y1/K5XK128/n8yk/P1/5+fmSpNWrVyspKSnS5QKIsMcee0yvvfZa+E5gBrFhw4Zgm7otnMeONvHUVtOMr/bGU1tN0772ulwuMzs721p2OBymy+V65OeKi4tNh8PRpXPG09c2ntpqmvHVXtrac8digjeAqLZ7925t377dmrTt9XqVlZWlsrKykJ/Lzc2V1+uNUJUAYhlhCUBUW7NmjUzTtF4Oh0Mul+uRk7jLy8uVnZ0doSoBxDImeAPo1QzDkNPp1MKFC/2ulHM4HPJ4PDZWBiBWEJYA9CoPByDTNAO+B4CewjAcAABACIQlAACAEAhLAAAAIRCWAAAAQiAsAQAAhEBYAgAACIGwBAAAEAJhCQAAIATCEgAAQAiEJQAAgBAISwAAACEQlgAAAEIgLAEAAIRAWAIAAAiBsAQAABACYQkAACAEwhIAAEAIhCUAAIAQCEsAAAAhEJYAAABCICwBAACEQFgCAAAIgbAEAAB6RFV1vb697kNVVdfbXUqPIiwBiDklJSUyDENlZWV2lwLEjarqeq3bdlAJMrRu28GYCkyEJQAxxe12q7S0VNnZ2XaXAsSN1qCUaEgJCYYSDXUqMLX+gdP2lZaW1uHzb9myRYZhyOfzdbUJIRGWAMSUFStWaMeOHXaXAcSNtkHJMAxJLf/tTGBas2aNTNO0XsXFxVq2bFmHzl9SUqKkpKRuteFRDNM0zUAbioqKVFhYGJaTFhUVheW4AOLbrl27JElLlizRli1bNH/+fM2ePdvmqoDY1NA8TJebh+t001glGoYSEox2+zQ3m2qWqWf77+vUsd98802tXr36kSHo0qVL+vu//3utXr1ab775prxer1JTUzt1rocFyj99unXEbghXEIs24Qyd0Sie2htPbZWiv70+n0+/+MUv5PF4JEmffvqpli9frry8vE4fK9rb2pPiqa1SfLW3p9t683aT9h2rU1V1vfZV1+la411JkiFD90xThvmgZ0mSTNPUPdPUW6/PVUb6ix0+T0lJibKzs/U3f/M3j9w3JydH7733nlwuV+cb1Am2hSUA6EmVlZXyer1+P6y3b9+u2tparVmzxsbKgN7rzKWbqjrWEo4OeAIPp5ky1a9Pou403VOfhJbAZJqmmppbg1Jyp85ZWlqqrVu3PnK/srIypaamKjMzk7AEAB2Rl5fn14uUk5OjFStWdKlnCYhnR042aN+xelVV18l79lrQ/caMHKgF6cnKSE/Rgmkpqqqu10/e/kKJhtr0KHUuKJWVlSktLU2ZmZmP3HfXrl3avHmzNm/ebK1zOBxyuVwd+nxnEJYAAIhjTfearXC0r7pO9VdvB9338YnDlZGerAXTUpQ+fpjftoz0ZL31+lyt23awS0FJkn70ox9p/fr1Hdp306ZN2rRpk6SWIceemrMUCGEJQEyqqKiwuwQgatVdbbSG16qq69R0L+C1XkpIMLQgPcUKSKOGDwh53Iz0ZP123Qtdqqn1vmgP9wa73W5lZWUpyPVoEUFYAgAgDnjOXlPVsZbeo29OXgm6X9LQ/lY4ykhPUb8+kbnL0MND6a1OnTrVofumhTNMEZYAAIhBpgxVHqvT/uqWIbZzl28F3Td17FArIM2cPCKCVT5afn6+rb1KEmEJAICYcfFKo6qq67XfU6e9jfP02baDQfed60hqGWKblqIJyYMiWGXn2B2UJMISAAC92jcnr6jKU6/91XU6dvpqmy3+w2dDBvZtuXptWooWpKdo8AAiQEfxfwoAgF6k8c497fe0DK3tr65X/bXgV689NnqIMtKTNT89WXOmhveRILGMsAQAQJQ7XX/Tmnu0P8jNIVvNS0tWRlqy9n/8L/rr//MvI1RhbCMsAQAQhQ4dv2yFo5rz14PulzS0v+anJd/vQUrRwH6JkqSvP2mMVKkxj7AEAEAUuHrzrt/w2rVbd4Pumz5+mObfv3v2jEnDI1hlfCIsAQBgk+Pnr2t/dcvDab+quRx0vz6JCdbco4y0FI0eEfrmkOhZhCUAACKk2TS1v7pe+z312l9drzOXbgbdd8zIgcpIaxlay0hPVmKCEXRfhBdhCQCAMLrQ0Kj9nvs3h/TU625Tc9B9Z04eoYz7w2uOcUMjWCVCISwBANDDvq5tuH9zyHp5zlwNut+g/n38htdGDOkXwSrRUYQlAAC66Xpjk/bfv3Jtf3W9Gm7cCbrv5NGDlZGWovnpyXoqlXsf9QaEJQAAuqDm/PX74ahOXx4PPjlbkuantfQezU9L0cSU6H20CAIjLAEA0AGmKe331FnDa2fqg0/OThk24P7QWktI6t83MYKVoqcRlgAACOLClcb7V6+1TNC+E2Jy9oxJw+/3IKVo2oRhEawS4UZYAgCgja9rG6wr1x41ObtlaK3llTS0fwSrRCQRlgAAce1GY5PfnbMfNTl7flrLfY+YnB0/CEsAgLhz4sJ168q1g75LIfd9MDk7WRNTBkeoQkQTwhIAIC4c8NTLd3ey/uxnu3Wq7tGTs1tD0gAmZ8c9whIAICbVX7vdMvfo/v2PGu/ckzRGChCUpk8cbj2YlsnZeBhhCQAQM46eumINr31z6krQ/Qb0S2y5c/b9m0MmMzkbIRCWAAC91u2796wr1/ZX16vuamPQfSemDFZzg0+r8nM0Ly05glWityMsAYh6ZWVlys/Pt5ZN0wy4X05OjrZv324tFxcXa82aNWGvD5F1uv6m372PAv9raPFUapJ15+zHRg9WUdEnBCV0GmEJQNTbunWrFZAKCgpUUlISNAQ5nU7l5eVFsjxEwKHjl625RzXnrwfdb8SQfvfvmp2i+WnJGjyAX3PoPv4VAYh6FRUV1nufz6clS5bYWA0i4dqtu6q6Pzm7qrpe12/dDbpv2vhhmp+WrIz0ZM2cPCKCVSJeGGaQ/uyioiIVFhaG5aRFRUVhOS6A2HTo0CGVlZVJahlqCxaWtmzZourqamt59erVSkrixoG9xU1zoC7fG67LzcPV0Bz8irQEmRqZcEUjE69oRMIVDTBuR7BKRKueyiyB8o9tPUvhCmLRJpyhMxrFU3vjqa2S/e11Op2SWobhPv30U7/eplZt6yspKVFpaak8Hk+nz2V3WyPJ7rZ+efyy9lfXqaq6Ticu3Ai639iRA/2uXktMMLp0PrvbG0nx1tZwYhgOQK/y2muvacWKFY/cLzc3V2vXro1AReiM641N98NRvfZV1+nazeDDazMnj2gJSOkpShs3NIJVAv4ISwCims/n08aNG7Vp0yZJ0u7du5WWlvbIz5WXlys7Ozvc5aEDTtXdsMLRQW/wR4v075ugjPQU6+aQ3PsI0YKwBCCqpaamyufzyTBahl0cDoff0JphGHI6nVq4cKEcDoe1/uH9EFlf1VzWvuo6VR2r14kLwa9eGztyoBWOFqQnW19nIJoQlgBEvUDzk1q1vUYl2P2XEH43bzep6lhL71FVdZ2uhhhemz5puDLSU5SRnqz08TxaBNGPsAQA6JLTdTfvh6N6feGtD7pf3z4JVjhakJ6i5GEMr6F3ISwBADrsyMkr2nesTpXHLur4ueDDa6NHDLg/tNYSkhK6ePUaEA0ISwCAkPYdq7sfkOp08UrwZ689PnG4Ftyff5Q+geE1xA7CEgDAz43GJlUeq1Pl0Yvad6xOt+7cC7hfn8QEKxxlTEtWyrABEa4UiAzCEgBA5y/faglIx+p0wBN8/tGIIf20cFqKFk5L0YJpo9QnkeE1xD7CEgDEKc/Za6ptGq+/LK3UsdNXg+43MWWwFj7eEpCenDIyghUC0YGwBABx5KDvkjX/6Ez9TUkTpABBacak4VowLUULp43S1LFDIl8oEEUISwAQw+40NavyaJ32HbuoymOh73+0YFrK/YCUolHDmX8EtCIsAUCMuXTttirbXMHW3Bz4Zp2DB/TRoLvn9cYfPKeFj4/SwH6JEa4U6B0ISwAQA85cuqm939Rp79GL+qrmctD9xowceH9ydormpyWrqKhIzz35gwhWCvQ+hCUA6KWOn7+uvd9c1N6jF0NO0HaMG2oFpMcnDo9ghUBsICwBQC9y9NQV7T1ap8+/uRjyAbVzUpOsgDQheVAEKwRiD2EJAKLcoeOXtfdoSw/S2Uu3gu636PFRWjQ9RYseH6URg/tFsEIgthGWACAKHfDU6/NvLmrPNxd16drtgPv075vQEpAeH6VF05mgDYQLYQkAokRVdcvw2p4jF9Vw407AfYYO7KtF00fp6fu9SAkGd9AGwo2wBAA2qjxapz3fXNDn31wMeg+klGEDtGh6ip5+fJTmpSVHuEIAhCUAiLDW3qM931zQjcamgPuMHjFAz0wfrWdmjOIRI4DNCEsAEAF7j17UZ19f0O4jF3Tr9r2A+4xLGqinp4/WM9NH6YnHRkS4QgDBEJYAIEyqquu0++uL+uzIBV2/FXiIbULyID09fZSemTFaMyZxDyQgGhGWAKAHfeG9pN1HLmj31xeCTtKeNGqwnpk+Sk9PH8VNIoFegLAEAN30Vc3lliG2ry+oPshl/uOTB+nZGaO1eOZoTZswLMIVAugOwhIAdMGx01flPnxe7sPndb6hMeA+Y0YOtAISQ2xA70VYAoA2qqrr9dntBaqqrldGuv9l+qfqbsh1+ILch8+r5nzgR42kDBugxTNH6dkZozWLq9iAmEBYAhAz3G63srKyrGWv16vU1NQOf76qul7rth1Uggyt23ZQ6/7oKU0dO+R+D9IFfV3bEPBzI4f00+KZo/XsjNGak5rU7XYAiC6EJQAxY/369TJNU5JUUlKijRs3atOmTR36bGtQSjQkwzBkmKZ+su2gDFMyZbbbv3/fRGU9MVqZT4zRgmkpklrCmuF4ENZcLpcyMzNDnresrEz5+fnWcmv9AKIHYQlAzKioqLDe19TUaMqUKR363MNBSWr5bx+ZajIlQ4YVmBbPGK3M+yEpMcH/USNZWVlWQCorK1NWVtYjw8/WrVutfQoKClRSUqI1a9Z0uM0Aws8wg3wnFxUVqbCwMCwnLSoqCstxAcS3mpoalZaWSpIWLVqk5cuXP/Iz15oH68s7M5VoGEpIaP+cteZmU/dkKq1PjVISLquPEfiO2zU1Nfr444/1xhtvWOvefPNNrVy5ssOhbcuWLZo/f75mz57dof0BPNBTmSVQ/rGtZylcQSzahDN0RqN4am88tVXqPe39+c9/LqllGK60tFQej6fdPhevNOrTr85r1+/PyXv2mgwZumeaMswHPUtSy5DYPdPUW6/PVUb6iyHPW1ZWphMnTvj9P/rFL36hH/7whyGH4toOwxUXF0e8V6m3fF17Sjy1N97aGk4JYT06ANgkNzdXXq/XWm6616yPvjyrn7x9UCv+1q0tH1TLe/aapJY5SYYMNTWb1pCYaZpqam4NSuF7eG1eXp5Ms+W8NTU1ysnJCdu5AHQNc5YAxIycnBxr3lJlZaUcDoe+8NZbvUi37za3+0zfPgl6btYYLXlyrExT+snbXyjRUJsepa4HJa/Xq/Hjx3d4/9dee00rVqzo8vkAhAdhCUDMSE1N9RtG+5P/4daP/vGLgPvOS0u2QlK/Pg862d96fa7WbTvY6aC0cOFC5efny+12WxO8HQ5HyFsX+Hw+vyv2du/erbS0tA6fE0BkEJYAxIQrN+4o5z8UatC8N3Tk5BVJ0rnLt/z2mTp2iJ6bNVZLnhyjMSMGBjxORnqynu1fqYz0Fzp1/tTUVDmdznb3eWplGEa7WwmkpqbK5/NZAc/hcAScYwXAXoQlAL2a+/B5ffrVee0+ciHg9hGD++m5J8doyayxmh7mR47k5eUpLy+v3XqfzydJASd6t73dAYDoRFgC0OscPXVFnxw6p48PndO1W3cD7pM1a4yemzVWz8wYFeHq2isoKJDL5bK7DABdRFgC0Ctcu3VXH395Th8fOqtjp68G3GfWYyOtXqQhA6Pnxxu9R0DvFj0/TQAggH3H6vTJoXP65KtzAbdPSB6kJU+O1XOzxmjSqMERrg5APCAsAYg6p+tv6uMvz+rjQ+faTdKWpIQEQ8/PHqvnZ4/TXAcPrgUQXoQlAFGh2TT18Zfn9MmhczrgrQ+4z8zJI/T87LH61uyxGtSfH18AIoOfNgBsdeRkw/25SOd083b7566NHNJP35o9Ts/PHivHuKE2VAgg3hGWAERcw40793uRzspz/5EjD3t6+ig9P3usMp8YE+HqAMAfYQlAxOw9elEff3lOrsPnA25/bPQQa5ht1PABEa4OAAIjLAEIq7OXbumjg2f00ZdndaGhsd32fn0S9K37k7VnTx1pQ4UAEBphCUBY7D5yQR8dPKvPv7kYcPuTU0a2XNE2Z5zfs9kAINoQlgD0mHOXb+mjg2f10cGzOt/Q/pL/lGEDWobZ5ozVlNFDbKgQADqPsASg2/YcuaiPDp7RniC9SAumpejFp8YxWRtAr0RYAtAl5xtaepE+PHhW5wPcODJ5WH+98NQ4vThnvCakDLKhQgDoGYQlAJ3y+TcX9dHBs9p95ELA7RnpLb1IWbPoRQIQGwhLAB7pQkOjapvG6z/+v58FfPxI0tD7vUhPjdPEFJ7PBiC2EJYABLX36EV9ePCsdn99QdIE6aGgND89WS8+NV5L6EUCEMMISwD8XLlxRzsOnNGOA2d05tLNdttHDumnF58arxeeGqdJo+hFAhD7CEsAJElf1zZox4Ez+uCLMwG3j0y4oj/93rN67smxEa4MAOxFWALi3IdftPQiHa5taLdtxJB+evGpcXrhqfHa9r9+quee/EMbKgQAexGWgDh07vItbT9wWjsOnFHD9Tvttj8xeYSWzRuvF+eOt6E6AIguhCUgjuz31GvHgTNyB3mQ7Utzx2vZvPGaOXlEhCsDgOhFWAJi3O2796wJ275z19ptH580SMvmtYSk4YP72VAhAEQ3whIQo3znrlkh6fbde+22Z6SnaNm88Xp25mgbquucsrIy5efnS5IcDoc8Hk/A/XJycrR9+3Zrubi4WGvWrIlIjQBiF2EJiDHuw+e148AZ7ffUt9s2oF+isudN0LJ54zVlTO95kO3WrVtlmqaklkBUUlISNAQ5nU7l5eVFsjwAMY6wBMSAm7eb9H7Vab1fdUpnL7W/w7Zj3ND7Q20T1K9Pgg0Vdk9FRYX1funSpaqpqbGxGgDxxjBb/1x7SFFRkQoLC8Ny0qKiorAcF4g3N82BOtc0SufujVKz2oeglMRLGpt4USMSrtpQXXhs3LhRy5Yt0+zZs9tt27Jli6qrq63l1atXKykpKZLlAbBJT2WWQPnHtp6lcAWxaBPO0BmN4qm9drb1oO+S3q86pQOH2z/MNmlof2vC9pgRA3vsnNHwtS0pKdEPfvADbdq0KeD2tvWVlJSotLQ06PymUKKhrZEST22V4qu98dbWcGIYDuhFPjp4Vu9XndKRk1fabUsfP0wvL5ig7HkTbKgs/MrKyjoVfnJzc7V27dowVwUgHhCWgCh37dZdvb/vtH5XdUoXrzS22/709FF6OWOiMtKTbaguMgoKCuTz+TrVS1ReXq7s7OwwVgUgXhCWgChVc/66fld1Su9XnVZzs//UwgTD0MsLJujljIma2ouuausKn8+nzZs3S5IMw7DWt063NAxDTqdTCxculMPhsLaHusUAAHQGYQmIMlXV9Xq/6pQ+/+Ziu22jhg/QyxkT9ErGRA0d1NeG6iIvNTVVQa5DkSS/baH2A4CuIiwBUWL7gdN6f99pVZ9pf+Xa9EnD9XLGRL341DgbKgOA+EZYAmx083aTfrv3lH5TeVKXrt1ut/3ZmaP1SsZEPeXg8ncAsAthCbDBxSuN+s3ek/pt5al2jyLp2yfBGmqbNGqwTRUCAFoRloAIqjl/Xb/Ze1IV+0+32zZ25EC9smCiXs6YoEH9+dYEgGjBT2QgAg6faNBvKk/K9fvz7baljRuqby+apJfmjrehMgDAoxCWgDDae/Siflt5SgcCPNR2ztQkfXvRRC2eMdqGygAAHUVYAsJg55dn9dvKUzp6qv2dthfPGK1vL5qoOVOZtA0AvQFhCehBLZO2T+pU3c12216aO16vLpokx7ihNlQGAOgqwhLQTdcbm/TbvSf1m8qTarh+x29bn0RD3144Sa8umqSxI3vuobYAgMghLAFddNfsq60fePTu57W629Tst2344H769sKJenXRJA0dGB932gaAWEVYAjrp0rXb+rc9taq8PUd73TV+28YnDdK3F03UqwsnKSHBCHIEAEBvQlgCOujilUa9u6dW7+6pvb/mQRhKHz9M3140iceRAEAMIiwBj3D+8i29u6dWv957st226ZOG67vPTFbWE2NsqAwAEAmEJSCIM5du6t09tfrflafabZs5eYTMs1Xa+H/8uQ2VAQAiibAEPORU3U29u+eE3q9q/0iSJ6eM1Hefmaynp49SUdEHNlQHAIg0whJwX+2FG3p3T622H2gfkuakJum7z0zWwmkpNlQGALATYQlx7/j563p3T60+/OJMu23zHMn67jOTNT892YbKAADRgLCEuHXy4g2Vf3YiYEjKSE/Rd5+ZrLkOHkkCAPGOsIS4c6GhUeWf1QScuL3w8ZaQxHPbAACtCEuIG1dv3lW5u0b/8tmJdtuemT5K331msmZNGWlDZQCAaEZYQsy7ffeeyt0nVO6u0Z2HHksyPz1Zuc9O0eyphCQAQGCEJcS0cvcJ/ctnNbp6867f+lmPjVRu5mNawNVtAIBHICyhV6uqrte6bV9o3R/NVUabK9Z+W3lS5e4Tunil0W//9PHDlJv5mDK54zYAoIMIS+i1WoLSQSXI0LptB7Xuj57S5eu3Ve4+oVN1N/z2nTxqsP4wcwrPbotxbrdbWVlZ1rJpmjZWAyBWJNhdANAVrUEp0ZASEgwlGtJPth3U//fuEb+gNHrEABV8e7o2/6dnHhmU3G63DMPwe3VETk6OtX9JSUm32oXuWb9+vUzTlGmaWrVqlQoKCuwuCUAMICyh12kblFoDjWEY6mNIpiRDhoYP7qf/mJ2uLX+ZqX+3YGKHj+1wOKxfth3plXC73Vq6dKlM05TX69XatWvl8/m62jR0U0VFhfV+yZIlfC0A9AjDDPIboaioSIWFhWE5aVFRUViOi/jgblygRMNQQkL7np/mZlP3ZGpx//1KUHOATwdXU1Oj8vJyrV69usu1bdy4Ubm5uZoyZUqXj4GesWXLFjkcDi1ZssTuUgBEQE9lloD5xwxiw4YNwTZ1WziPHW3iqa2mGf72Xrlxx/yv73xpvvLjD8zvrPvQXP7WR9brO+s+NF/58QfmvmN1XTq2y+Uy1dI5ZUoyV61aFXL/h9va+vlY1Zv+LTudTjM7O7vLn+9Nbe2ueGqracZXe2lrzx2LCd7oNcrdNSr79Lhu3bknQ4aamk31SWgZgjNNU03Npt563f+quFDazklyuVzKzMz0G3ozDENLlixRXl5eh463YsUKuVyuzjUKPc7tdis/P5/J3QB6DGEJUW/nl2dV9ulxna6/aa0zZSp9wjBVn76qREO6Z3YuKEmPvlJq1apVqq2t7dCxcnJytHLlSmVmZnb4/Oh5JSUlKi0tJSgB6FGEJUStL7yXVLbruH5fc9lvferYocp7bqqenTnamuzd2aDUEZs3b+5QT5FhGHI6nR3ugUL4rF27VpJ/r6HX61VqaqpdJQGIAVwNh6hz4sJ1Ff/qK/3oHw/4BaURg/vpz195XD9btUjPzhwtScpIT9Zv173QI0GpoKDA77YBTqfT6ikqKytTWlpau8+03iogPz/f+hyXq9vHbHMlY+uLoASgu+hZQtS4duuuyj49rnf3tB/6+n7WFOU9N1X9+yaG7fybNm3Spk2bAm6rra3VsmXL2q1fs2aN1qxZE7aaAAD2IywhKry7p1bbPvbp5u0mv/Uvzh2vvCVTNS5poE2VST6fT6WlpfJ4PLbVAACwD2EJtjrgqdcvd3p17PRVv/Xz0pKV99xUPTF5hE2VPZCamkpQAoA4RliCLS5eadTbO7368OBZv/VTxwzRD56bqiwedAsAiBKEJURcufuE3t7p1d17D+6wnZhg6IdLHfr3Wdz5GgAQXQhLiJjKo3X65U6vfOeu+a1/Yc44vb7UodEjBthUGQAAwRGWEHZnL93S2zu9+uSrc37r08cP0w+XOjS/h++PBABATyIsIazKPj2ut3d61fZ+ygP6Jur1pQ79weLJttUFAEBHEZYQFru/vqBf7vSq9uINv/XZ8ybo9aWpShra36bKAADoHMISelSj2V//7Z+/kuvweb/1MyYN1w+XOjQnNcmmygAA6BrCEnrMr/ee1IHbs9TcJigNGdBHry916NVFk2ysDACAriMsodu8Z6/p73dU66Dvkto+bvDfLZio15c6NGxQX/uKAwCgmwhL6JZ3PvFp28c+v3WOcUP1xkvpmutgyA0A0PsRltAlB32XtGVHtTxn/e+ZNLnPGf30z//YpqoAAOh5hCV0yp2mZm3ZUa1f7z3pt/6p1CS98VKafvUP/6BDj2wAABW0SURBVNOmygAACA/CEjrMdfi8tuzw6HzDLWtd3z4J+pOX0vWdp5nADQCITYQlPFL9tdvasqNaHx/yvwN35hNj9CcvpWnMyIE2VQYAQPgRlhDSjgNn9HcVx3TzdpO1Lmlof73xUpqWzhlnY2UAAEQGYQkBXbt1Vz//3dF2vUkvZ0zQGy+la/AA/ukAAOIDv/HQzmdfX9DPf3dU9dduW+seGz1Yb7yUrgXTUmysDACAyCMswXKv2dTP3z+q/115ym/9q4smaeXL05RgGDZVBgCAfQhLkCR94b2kn79/VCfbPPg2ZdgA/dnL07R45mgbKwMAwF6EJegfPvTon101fuuWzhmnP3t5moYM5FElAID4lvDoXRCrjp66or/6u31+QWlQ/z76L9+dqb/63hMEJUSVkpISGYYht9sddJ+cnBwZhmG9SkpKIlghgFhFz1Kc+pWrRls/9Pite3r6KK18+XGNGTHApqqAwHJycrR06VI5HI5H7ut0OpWXlxeBqgDEC8JSnLnQ0Kif/eaIDnjq/davfHmalj892aaqgNAqKiokSaWlpTZXAiAeGaZpmoE2FBUVqbCwMCwnLSoqCstxEVr9vZHyNE3RXfNBRh6ecE2pfWs12LhpY2VAx2zcuFG5ubmaMmVKwO1btmxRdXW1tbx69WolJSVFqjwANuqpzBIw/5hBbNiwIdimbgvnsaNNtLT1Hz70mK/8+AO/1zsfe3v8PNHS3kiIp7aaZnS01+FwmC6Xq0P7FhcXmw6Ho0vniYa2Rko8tdU046u9tLXnjsUE7xh3oaFR/88vv9A/7TpurRs9YoD+6w/nKv9bqTZWBoRXbm6uvF6v3WUAiAHMWYphu7++oJ/95oiu3rxrrVs8c7T+4tUZGjaIK90Q28rLy5WdnW13GQBiAGEpRv3jR16/3iRJ+g8vpOn7SwLP9QCiWU5OjrZv3y5JysrKkiSZ96dbGoYhp9OphQsX+l0t53A45PF42h8MADqJsBRjAl3tNnrEAP3FqzM0Ly3ZxsqArmu9Gi4Qs801Kmbg61UAoFsISzGEYTcAAHoeYSlGvL3TK+enDw27vZim72cx7AYAQHcQlnq5e82m/vZfD+uTr85Z6xh2AwCg5xCWerFTdTf1t/92WEdPXbHWPTtztP4Tw24AAPQYwlIvte9Ynf723w77zU/KzZyiN15Ks7EqAABiD2GpF/r13pP6+e+O+q37i+/MUM78CTZVBABA7CIs9TI/f/+ofv35SWs5eVh//dX3ntCcqTz/CgCAcCAs9RLXbt3Vf//Xw9p3rM5aN2vKSP3VHzyh0SMG2FgZAACxjbDUCxw7fVX//V8P61TdDWvdS3PH6798d6aNVQEAEB8IS1Hus68vqPhXX+le84M7E//xCw79YMlUG6sCACB+EJai2Pb9p/XTXx+xlvskJuivvveElswaY2NVAADEF8JSlCp3n9CWD6qt5Ykpg7T6D2cpffwwG6sCACD+EJai0NYPPPqVu8Zanj5puN78/mwlD+tvY1UAAMQnwlKU+dlvjqii6rS1vCA9RYU/mK3+fRNsrAoAgPhFWIoiRf/8ldyHz1vLz88eq9V/OMvGigAAAGEpCtxobNKGfzqkg75L1rpXF03Sn7/yuI1VAQAAibBku3OXb2nDPx2S9+w1a91r30rVHz2famNVAACgFWHJRjXnr+uv3/lS5xtuWetWvjxNy5+ebGNVAACgLcKSTWov3NBb7xzUhYZGa93/9b0n9MKccTZWBQAAHkZYssHJOv+gZBjSj/Of0sLHU2yuDAAAPIywFGGn62/qr7d9qXOXHwy9/eS1p7RgGkEJAIBoxM17IujspVt6652DOnPpprXux6/NISgBABDFCEthVFVdr89uL1BVdb3ON7QEpdN1D4LSj/LnaNHjo2ysEAAAPAphKUyqquu1bttBJcjQum0HVbjlgE5evGFt/79/MFvPTCcoAT2trKxMhmGorKzM7lIAxAjCUhi0BqVEQ0pIMJRoSOcbGmXIkCQVfv9JLZ45utPHTUtLk2EYMgxDOTk5nfpcWlpap88H9DYFBQXatWuXsrOz7S4FQAwhLPWwtkHJMFrCkWEY6pMgmZL+fdZUZT4xptPHLSkp0bJly2SapkzTlMfjeeRfzj6fT4ZhaP369V1pCtDrbNq0SZs2bbK7DAAxxjBN0wy0oaioSIWFhWE5aVFRUViOGw3cjQuUaBhKSDDabWtuNtUsU8/239fp4+7atUuXL1/W8uXLJUkbN25Ubm6upkyZ8sjP1tTUqLy8XKtXr+70eYHeaMuWLZo/f75mz55tdykAIqSnMkug/GPbrQPCFcTsVlVdr5+8/YUM80HPkiSZpql7pqm3Xp+rjPQXO33cwsJC5eTk6M0335QkOZ1O5eXldeizbrdbH330UUT+n4czZEebeGqr1Lva++mnn2r58uUd/h55WG9qa3fFU1ul+GpvvLU1nBiG62EZ6cnKfGKMmppbhsuklqDU1NwalJIfeYzW4bPWl8/nkyRt375dTqdT2dnZys/PD2s7AABAC8JSD3vv81q5D5+XIUNNzaaamzsXlCQpNTXVmptkmqZSU1OVk5Mjl8ulvLw8VVRUqLi4WAUFBWFuDQAAICz1oEPHL6v0/WOSJFOmZk9NUrPUqaAUjMfj0e7du63lmpqabh0PiEUFBQUyDEPbt29Xfn6+X88sAHQVYamHXL91Vz/99dfW8qzHRqhoxTw927+y20FJknbs2KG1a9daQ3M7duywrvopKSkJeCuB1uG8rKwseb1eGYZBbxRi2qZNm/x6ZVt7ZgGgO3g2XA/56a+P6Oyllue9DerfR/95+cwePX7r0FwgNTU1Wrp0aac+AwAAOoaw1AOcnx7XZ19fsJb/8/IZmpA8KCLndrvd8vl83FsGAIAwYRium46cvKK3d3qt5R8smaqsLtx0sqsyMzNVUVERsfMBABBvCEvd9HcVx6z389KS9ccvOGysBgAA9DTCUjf8cqdXR09dkSQZkv40Z5q9BQEAgB5HWOqi359oUNmnx63lP315miaPGmxjRQAAIBwIS13Udp7SgvQULX96so3VAACAcCEsdUHF/tP6quaytfzq05NsrAYAAIQTYamTGu/c8+tVyn9uquandf+mkwAAIDoRljrp7Y+9unz9jiRpXNJAvb6Uq98AAIhlhKVOuHilUf+2u9Zafv15ghIAALGOsNQJ7+15EJRmTx2pb80ea2M1AAAgEghLHdRw/Y7e/fxBWOLqNwAA4gNhqYPe/bxWrc+knTl5hJ6ePsreggAAQEQQljrgemOT3xDccm4VAABA3CAsdcB7e2p1p6lZkpQ+fpgyI/igXAAAYC/C0iPcvntP77Wdq/QMc5UAAIgnhKVHeG/PSd1obJIkTRkzRM9zBRwAAHGFsPQIFftPWe+/yxVwAADEHcJSCJVH63S+oVGSlDS0v16aN97migAAQKQRlkL4+NBZ6z3DbwAAxCfCUhBXbtzRrt+ft5afnzPOxmoAAIBdCEtBfHzonPV+1mMjNHXMEBurAQAAdiEsBdE2LNGrBNjL7XbLMAzr5Xa7A+6Xk5Pjt19JSUmEKwUQiwhLARw5eUWeM1clSX0TE5ivBNgsKytLLpdLpmnK6XQqKysr6L5Op1Omaco0Ta1ZsyaCVQKIVYSlAPwmds8Zq/59E22sBohvbrdb2dnZyszMlCTl5eVZ6wEgEgzTbH08rL+ioiIVFhaG5aRFRUVhOW5P2Xt7ru6afSRJT/Y7quEJV22uCIhfhw4d0v79+/XGG29Y6zZu3Kjc3FxNmTLFb98tW7aourraWl69erWSkpIiVisA+/RUZgmYf8wgNmzYEGxTt4Xz2N1VVV1nvvLjD8xXfvyB+Sf/w93t40VzW8MhntobT201Tfva63Q6zezsbL91DofDdLlcIT9XXFxsOhyOLp0znr628dRW04yv9tLWnjsWw3AP+fybi9b7Z6aPsrESAMF4vV6NHx/6JrG5ubnyer0RqghALCMsPaRtWHqasATYbuHChdq+fbs1R6msrEwOh0OpqakhP1deXq7s7OxIlAggxvWxu4BoctB3SZeu3ZYkjRo+QLOmjLS5IgCpqantroBr22NkGIacTqcWLlwoh8NhrXc4HPJ4PBGtFUBsIiy1Qa8SEJ3y8vKsq+AeZra5RsUMfL0KAHQLw3Bt7CUsAQCAhxCW7vv9iQZduNIoSRo5pJ+eSuVyYwAAQFiy7D3atldptI2VAACAaEJYum/f0Trr/aLHU2ysBAAARBPCkiTfuWs6WXdDkjSwf6IWTCMsAQCAFoQlSfuOPehVWjiNid0AAOABwpKkyqNtwxK9SgAA4IG4D0vnGxr1zakr1vJC5isBAIA24j4s7Tv24Cq4+enJGtSf+3QCAIAH4j4s+Q/BMV8JAAD4i+uwdPXmXe331FvLDMEBAICHxXVY2n3kgvX+icdGaPTwATZWAwAAolFch6XPvn4Qlp6dyV27AQBAe3Ebli5du60DbYbgFs8gLAEAgPbiNiy1HYKbk5qkUQzBAQCAAOI2LPkNwdGrBAAAgojLsHTxSqMOHb9sLS9mvhIAAAgiLsNS216l+WnJGjmkn43VAACAaBaXYemTr85Z7+lVAgAAocRdWPqq5rKqT1+VJPVNTNBzs8bYXBEAAIhmcReWdhw4Y71/ae54DeRZcAAAIIS4CksN1+9o55dnreWX5o23sRoAANAbxE1Yqqqu1+sbd8mQIUl6cspITZswzOaqAABAtIuLsFRVXa912w4qQYZMSYYMvTS3671KBQUFMgxDhmEoJyenQ58pKyuzPmMYhnw+X5fPDyAwn8/n931WVlZmd0kAYkDMh6XWoJRoSAkJhvokSKYhDR/ctdsFlJWVaceOHTJNU6ZpSpJKSkpCfsbn8yk/P19er1emaaq4uFjLli3r0vkBBLds2TI5nU6ZpimXy6X8/Hz+MAHQbTEdltoGJcNoGX4zDEN9DGndtoOqqq5/xBHa27Vrl1auXGktr1ixQjt37gz5mcrKSq1atUqpqamSpNzcXHm9Xn6IAz2o9fspLy9PkpSZmSmHw6HKyko7ywIQAwyztXvkIUVFRSosLAzLSTdv3qyGhoawHLstd+MCJRqGEhKMdtuam001y9Sz/fd16pi7du2S1+vVG2+8IUk6dOiQ9u/fby0H+8zly5e1fPlya92bb76p1atXKykpqVPnBxBYTU2NysvLtXr1amvdli1bNH/+fM2ePdvGygCE24gRI7Rq1aoeOVbA/GMGsWHDhmCbui2cx25r37E685Uff2B+Z92H5vK3PrJe31n3ofnKjz8w9x2re+QxsrOzTUmmJLO4uNg0TdN0OBzWOklmdnZ20M9v2LDBLC4uNletWuW3XpLp9Xq718AoFKmvbTSIp7aaZvS31+VymQ6Hw29ddna26XQ6O32saG9rT4qntppmfLWXtvbcsWL6JkMZ6cl66/W5+snbX6hPQssQnGmaamo29dbrc5WRnvzIY1RUVLRb5/F4rPclJSWqqanpVF2twwWtw3IAwsPj8WjixIl2lwGgl4vpOUvSg8DU1GyqublzQelRfD6f1q5d69ftH8jixYu1efNmKySVl5crOzu72+cH8EBmZqa8Xq91BZzb7ZbX61VmZqbNlQHo7WwJS1lZWRE9X2tgapa6HZTa3gLA4XDI5XJZPURut9uaSN4qKytLmZmZKi4ulsPhkGEYWrt2bcAeq1gQ6a+tneKprVLvaG/rFXCGYSgrK0sul6tLx+kNbe0p8dRWKb7aS1t7ji0TvGNVWVmZtm7dGrNBCACAWBco/8T0nKVIy8/PV5DsCQAAeqmYn7MUSQQlAABiD2EJAAAgBMISAABACIQlAACAEAhLAAAAIRCWAAAAQiAsAQAAhBDRsGQYhnJyctqtz8nJse6KHWh7b+bz+ay2GYahkpISu0sKu7S0tLhqb0lJiQzDsB6zEavafl1jta1t79BvGIb1iKJY9PDPplhua1uGYSgtLc3uMsKuoKAgZn+vPqztz6ZwtTUiYan1MSBOp7PdttZfpqZpyjRNeTyemPoFW1BQIKfTKdM05fV6tXbt2pj+oZSWlqaVK1daX881a9bYXVJYud1ulZaWxvyz/srKyrR+/XqZpmk9UiTW+Hw+5efny+v1yjRNFRcXa9myZXaXFTYbN270a2tBQYHdJYVdTk6OVq1aZXcZYVdQUCCfz2f9HI7lp0qUlJRo2bJlfhkiHH/MRSQsZWZmBr1h486dO/WjH/3IWl65cqV27twZibJs0/osuVjjdrslKeYDUlsrVqzQjh077C4j7PLy8pSXlydJ1oNpYy30V1ZWatWqVdb3Z25urrxeb8y1s9WmTZusti5evFgej8fmisKrrKxMqampeu211+wuJew2b96sTZs22V2GbSZOnNjjx7R9ztLD36CTJ0+2qZLwqKiosB7s6XA45PV67S4pbE6dOiVJfl37rQEqFpWUlGjlypUxG36DKSsrk8PhiLl219bW+i3HWvtCeeedd2K6F01qeRxVPAQIn88nh8NhPbg91qdDrFmzxm9Ief369dYfdD0pLGEpXn5ZPqx1uLH11bpOkhWSYqmru+1cs9ZvxrS0NKs71Ol0asWKFTZX2TPazmVJS0uTz+dTaWlpzPaihfoezs/Pj4vetHjhdru1Y8eOmA4SrdMh4kXr8Gq8TP/Yvn27nE6nsrOzwzZFICxhqfWLZJpmpxNebW1tr/2LrnW4sfUlSVlZWTJNU6mpqda6WJkcW1FREXJuUji6Qu2Sl5fnNyZeWVkpr9drBYrt27crPz8/Zv6CC/Y9nJaWJqfT2Wu/Rzuj9ZdLLLfV5/MpKysr5sPvjh07rB7+rKws63s3HsTyv1+p5Y92l8ulvLw8VVRUhG3+ne3DcMuWLdP69eut5dLSUi1ZssTGinpO6w/btn+Zx/K8gIULF2r79u1Wu995552YveqkbXgyTVPZ2dlyOp0x29PU2s29detWa+5SrFm8eLE2b95s/fstLy+P6Yn7rcOprX/MxTKPx2N9r7pcLqvdsSg1NVUOh8P6o7z1v7H6NfZ4PNq9e7e1XFNTE54TmUFs2LAh2KZOc7lcpiS/V3FxsbXd4XBY61etWtVj540GTqfTr92x1r6HFRcXW211OBx2lxMx2dnZptPptLuMsFm1alXI7+FY0fbfb4gfjzGh7c/d1pfL5bK7rLBzuVwx/7Pp4d+5Xq/X7pLCxuv1+rW1J762gfKPYZqB43VRUZEKCwvDkc8AAACiUqD8Y/swHAAAQDQjLAEAAIRAWAIAAAiBsAQAABACYQkAACAEwhIAAEAIhCUAAIAQCEsAAAAhEJYAAABCICwBAACEQFgCAAAIoU+ojUVFRZGqAwAAICoFfZAuAAAAGIYDAAAIibAEAAAQAmEJAAAgBMISAABACP8/+zVPzx3lmmAAAAAASUVORK5CYII=)
After plotting the points, we join them with a smooth curve to get the graph of the equation.
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Related Questions to study
Choose the synonym for 'Present’?
Choose the synonym for 'Present’?
Make and test a conjecture about the square of odd numbers.
Make and test a conjecture about the square of odd numbers.
Complete the sentences with a subordinating cogs Rehire, at trough once. since
Complete the sentences with a subordinating cogs Rehire, at trough once. since
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals x over 3 plus 2](data:image/png;base64,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)
X | -6 | -3 | 0 | 3 | 6 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Graph the following functions by filling out the X/Y chart using the given inputs
![straight Y equals x over 3 plus 2](data:image/png;base64,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)
X | -6 | -3 | 0 | 3 | 6 |
Y |
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. Either way, we need points satisfying the equation to plot its graph.
Make and test a conjecture about the sign of the product of any two negative integers.
Make and test a conjecture about the sign of the product of any two negative integers.
Choose whether the following is a simile or a metaphor
"Busy as a bee"?
Choose whether the following is a simile or a metaphor
"Busy as a bee"?
Mark has
100 gift card to buy apps for his smart phone .Each week he buys one new app for
4.99
a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Mark has
100 gift card to buy apps for his smart phone .Each week he buys one new app for
4.99
a) Write an equation that relates the amount left on the card ,y , over time x.
b) Make a graph of the function
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.
Chore the correct synonym for the word 'text'.
Chore the correct synonym for the word 'text'.
Choose the synonym for "Jumped”
Choose the synonym for "Jumped”
Use the function Y = 1.5X + 3 to complete the table of values.
X | ||||
Y | 9 | 6 | 0 | -3 |
We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.
Use the function Y = 1.5X + 3 to complete the table of values.
X | ||||
Y | 9 | 6 | 0 | -3 |
We should always try to rewrite the equation in terms of the variable whose value is given so that it is easy to find the value of the required variable. Then we just need to calculate the values carefully.
Rewrite the sentences using possessive nouns
Rewrite the sentences using possessive nouns
Choose the synonym 6 ‘auditory'
Choose the synonym 6 ‘auditory'
You have an ant form with 22 ants. The population of ants in your farm doubles every 3 months.
a) Complete the table .
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)
b) Is the relation forms a function ? If so , is it a linear function or non linear function ? Explain.
We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
And it is linear if the graph drawn is a straight line.
You have an ant form with 22 ants. The population of ants in your farm doubles every 3 months.
a) Complete the table .
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)
b) Is the relation forms a function ? If so , is it a linear function or non linear function ? Explain.
We can also check if the relation is a function or not graphically by using the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point.
And it is linear if the graph drawn is a straight line.
Describe the pattern in the numbers 9.001, 9.010, 9.019,
9.028, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 9.001, 9.010, 9.019,
9.028, ... and write the next three numbers in the pattern.