Question

look at the graph:
what is the equation of the vertical asymptote?
submit

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

The graph has two branches: one in the first quadrant (above x - axis, right of y - axis) and one in the fourth quadrant (below x - axis, right of y - axis? Wait, no, the lower branch is left of y - axis? Wait, looking at the graph, the two branches are on either side of the y - axis (x = 0). As \( x \) approaches 0 from the right (\( x
ightarrow0^{+} \)), \( y \) approaches \( +\infty \), and as \( x \) approaches 0 from the left (\( x
ightarrow0^{-} \)), \( y \) approaches \( -\infty \). So the vertical line is \( x = 0 \).

Answer:

\( x = 0 \)