### Home > PC3 > Chapter 4 > Lesson 4.3.1 > Problem4-114

4-114.

Sketch the graph of $f(x)=x(x+3)(x-4.5)$. Then use your graph of $y=f(x)$ to sketch a graph of $y=\frac{1}{f(x)}$.

Set each factor equal to $0$ to determine the $x$-intercepts of $y=f(x)$.
The $x$-intercepts of $y=f(x)$ are the vertical asymptotes of the reciprocal function.