CPM Homework Help : PC3 Problem 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 $y=\frac{1}{f(x)}$ .

Hint:

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.