Question

The graph showing here is the graph of which of the following rational functions?

Answer 1

Answer: A

Step-by-step explanation:

The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.

A would be correct because when x = -2,

$F(-2)=\frac{1}{-2+2}=\frac{1}{0}$, which is undefined.