Question

the function f(x) is graphed below. find the equations of the vertical asymptotes of f(x). list them in increasing order below. x = x = x =

Explanation:

Step1: Recall vertical asymptote definition

A vertical asymptote is a vertical line \( x = a \) where the function approaches \( \pm\infty \) as \( x \) approaches \( a \) from either side. From the graph, we identify the vertical lines where the function has infinite discontinuities.

Step2: Identify vertical asymptotes from graph

Looking at the graph, the vertical asymptotes occur at \( x = -3 \), \( x = 2 \), and \( x = 5 \) (since the graph has vertical breaks at these \( x \)-values, with the function tending to \( \pm\infty \) near them).

Answer:

\( x = -3 \)
\( x = 2 \)
\( x = 5 \)