Mathematics
Grade10
Easy
Question
Find the x-intercept of the function
.
- 0
- 3
- -3
- 1
Hint:
The x-intercept of a line is the distance of the x coordinate from the point where the line cuts the x-axis from the origin.
The correct answer is: -3
To find the x-intercept, substitute in 0 for p(x) and solve for x.
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row blank cell 0 equals cube root of x plus 3 end root end cell row blank cell 0 equals x plus 3 end cell row blank cell x equals negative 3 end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGQAAABACAYAAADs39J0AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAliyBG2QAAAz1JREFUeNrtnD9oFEEUxpcgEuQQ5ZQUCopVCgkWCoJKCEgQCSIhghYiQRGxulKwEUS0imJEEBULQRv/gIgKIhIsRAlqKVqIWEgQIqSIS4jGb+AdLMtudmdn3+zs7PvBR+7m7WU282Zn3oSPC4L6sERagD5BwynXtSLX1kFe0A99T4kdhl4HglV6oNmU2HPohAyRPdrQNWg8IbYO+k0/G8tq6Dr0jnSD2jj3kaMp8VPQYwfGZAh6Bs1DIfQFukKTiZ1X0IHI+xFq45wAF6CTCTG1d4w5kBB1H6PQykjbNugFd8eHoKsJ7Wo2HGHuO4y93wz9gnqZKz0T5rgT8iCl/ByiGBd7oOlY2xno5jKfOQ5dSmg/TzHuhGyBPnMnZDb2WHZRbTMZ+4Bubd6NhfTob4rFP0L7Mu73A9QXeT9OBQLnE9JH/ah9ZD93QhaXiS1YXLO3Qj+hFRnXqYRN0Ou9Bfa6Jc1ro+rYGIhFjTW+jOqqq92x+EXocs7f9RIapNN+W7PfIifttdBBqkAHuRMyk7Jk9TIsWV1+QO9jbd+g7TnvuUNP74DlTb1FSWHf1JPW7WHGTf009C+yF+yEvuZYrhS76L4mClaBplVWyJ2Q0ZTK5g5z2asOXPfo9SR0LmeV8wRaRbN1usBBzSQhA7SxWzkEdWiGquXrLDTF3Oct6A/1qc4e/RnXr6eTczt2gL3LlJApOqOp++uhY4BaVo/ZSIjatG7T4zhP/zppMfe5BvoLPYTeZlyrJskjaENC7H6OUrnoOekpjUlIk3Yk8Jw3NstJIZsdlJCNMhTuMCZDIAiCIAiCIAiCIAgxbPqybFKpt8oE274sW1TmrTKhSl9WUZz3Vplg25fVCG+VCTZ9WV2891aZUIUvy3tvFVdCOB0WXnurTKjClxUEnnurTDd1274s771VJtj2ZTXGW2V6gLLhy2qUt8oEG74s8VYJgiAIgiAIgiAIgiAIglA5tfVb+Uot/VZNZM6XP6QMr1TVOO+30kXXK+XK99nWxm+li6lXyja181sVQccrxTGoXvutiqDjlXLtK7id91vpYuqVcoHQl2SU4ZWqmlr4rfJQllfKJrX1W2VRhVeqDJz2W/0HZJdrERRcJrYAAAHpdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0icmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQiIGNvbHVtbnNwYWNpbmc9IjBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0iPjxtdHI+PG10ZC8+PG10ZD48bW4+MDwvbW4+PG1vPj08L21vPjxtcm9vdD48bXJvdz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4zPC9tbj48L21yb3c+PG1uPjM8L21uPjwvbXJvb3Q+PC9tdGQ+PC9tdHI+PG10cj48bXRkLz48bXRkPjxtbj4wPC9tbj48bW8+PTwvbW8+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+MzwvbW4+PC9tdGQ+PC9tdHI+PG10cj48bXRkLz48bXRkPjxtaT54PC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPpJe3jEAAAAASUVORK5CYII=)
For x-intercept, we put y=0