Find any vertical asymptotes for the given function.

A)
B)
C)
D)
E) no vertical asymptotes

Question

​Find any vertical asymptotes for the given function. ​
​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​no vertical asymptotes

Quizplus · Accepted Answer

Vertical asymptotes occur when the denominator of a rational function equals zero, since division by zero is undefined. In this case, the denominator is (x-5)(x+1)(x+3), so the function has vertical asymptotes at x=5, x=-1, and x=-3. Choice C corresponds to x=-3, which is one of the vertical asymptotes.

​Find Any Vertical Asymptotes for the Given Function

Find Any Vertical Asymptotes for the Given Function