Answer
We can see a sketch of the graph $\frac{1}{f(x)}$ below.
In the graph of $f(x)$, the following points are useful:
the x-intercepts
the points where $y=1$ or $y=-1$
the points where $y$ is close to 0
the points where $y$ is very large
Work Step by Step
We can see a sketch of the graph $\frac{1}{f(x)}$ below.
In the graph of $f(x)$, the x-intercepts are important because these are asymptotes in the graph of $\frac{1}{f(x)}$.
In the graph of $f(x)$, the points where $y=1$ or $y=-1$ are important, because these values are also equal to 1 or -1 in the graph of $\frac{1}{f(x)}$.
In the graph of $f(x)$, the points where $y$ is close to 0 are useful, because these values are very large in the graph of $\frac{1}{f(x)}$.
In the graph of $f(x)$, the points where $y$ is very large are useful, because these values are close to 0 in the graph of $\frac{1}{f(x)}$.
