Find any vertical asymptotes as well as the location of any holes in the graph of the given rational function.
-$f(x)=\frac{2}{x+3}$
A) vertical asymptote: $\mathrm{x}=2$; holes: none
B) vertical asymptote: $\mathrm{x}=3$; holes: none
C) vertical asymptote: $\mathrm{x}=-2$; holes: none
D) vertical asymptote: $\mathrm{x}=-3$; holes: none

Question

Quizplus · Accepted Answer

A vertical asymptote occurs where the denominator of a rational function is zero, and there are no factors in the numerator to cancel it out. For $f(x)=\frac{2}{x+3}$, setting the denominator equal to zero gives $x+3=0$, or $x=-3$, indicating a vertical asymptote at $x=-3$. There are no factors in the numerator and denominator that can be cancelled, so there are no holes in the graph.

Find Any Vertical Asymptotes as Well as the Location of Any