# How do you graph #f(x)=(x^3-16x)/(-3x^2+3x+18)# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

Feb 16, 2018

Factoring Steps:

Analysis of the rational equation:

There are no holes, because none of the terms cancel each other out in the numerator/denominator.

There are x intercepts at

There are vertical asymptotes at

because there is an x-intercept at

Therefore, the graph would look like this:

graph{(x^3-16x)/(-3x^2+3x+18) [-10, 10, -5, 5]}