Question

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

Answer 1

Answer: A

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)=(1)/(-2+2)=(1)/(0)`, which is undefined.