1. The problem asks for the equations of the vertical asymptotes of the function $f(x)$. Vertical asymptotes occur where the function approaches $\infty$ or $-\infty$ as $x$ approaches a certain value. 2. From the given information and graph description: - As $x \to 6^-$, $f(x) \to -\infty$. - As $x \to 6^+$, $f(x) \to \infty$. This means there is a vertical asymptote at $x=6$. 3. Also, as $x \to 3^-$, $f(x) \to \infty$, indicating a vertical asymptote at $x=3$. 4. As $x \to 0$, $f(x) \to \infty$, indicating a vertical asymptote at $x=0$. 5. Therefore, the vertical asymptotes are at $x=0$, $x=3$, and $x=6$. 6. The equation of vertical asymptotes are vertical lines, so the answers are: $$x=0, x=3, x=6$$