How do you find the asymptotes for #f(x) = (x+3)(x-2)^3 #?

1 Answer
Nov 19, 2016

This function is a polynomial function, and has no asymptotes.
- A vertical asymptote would only occur if the denominator of the function is ever equal to zero. The denominator of this function is 1.
- A horizontal asymptote would only occur if the end behavior as x approaches #+-oo#, #f(x)# approaches a finite number. Again, this would only work if it were a rational function with a denominator other than a constant.

graph{(x+3)(x-2)^3 [-150.1, 150.1, -75.1, 75]}