Question

look at the graph:
graph of a function with vertical asymptote
what is the equation of the vertical asymptote?

Explanation:

Step1: Recall vertical asymptote definition

A vertical asymptote is a vertical line \( x = a \) where the function approaches \( \pm\infty \) as \( x \) approaches \( a \).

Step2: Analyze the graph

From the graph, we observe that the function has a break at \( x = 0 \) (the y - axis), and the graph approaches \( \pm\infty \) as \( x \) approaches 0. So the vertical asymptote occurs at \( x = 0 \).

Answer:

\( x = 0 \)