which equations represent vertical asymptotes of the function shown? select all that apply. x = 0 x = 3π/2 x…

Explanation:

Step1: Recall vertical - asymptote definition

Vertical asymptotes are vertical lines $x = a$ where the function approaches infinity or negative infinity as $x$ approaches $a$.

Step2: Identify from the graph

From the given graph, the function has vertical asymptotes at $x=\frac{\pi}{2},x = \pi,x=\frac{3\pi}{2}$. The function does not have a vertical asymptote at $x = 0$ and $x=\frac{\pi}{4}$ as the function behaves differently at those $x$ - values.

Answer:

$x=\frac{3\pi}{2}$, $x=\frac{\pi}{2}$, $x=\pi$