Answer
See graph
Work Step by Step
We have to graph a function $f$ so that we have:
$\displaystyle\lim_{x\rightarrow 1} f(x)=\infty$
$\displaystyle\lim_{x\rightarrow 3^{-}} f(x)=0$
$\displaystyle\lim_{x\rightarrow 3^{+}} f(x)=-\infty$
Therefore the left hand and right hand limits in $x=1$ must both be $\infty$, therefore we draw a vertical asymptote $x=1$.
Graph the function:
![](https://gradesaver.s3.amazonaws.com/uploads/solution/fde99282-f81c-46b7-a866-4124797dbba0/steps_image/small_1592307375.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000202Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=bd31d6f438996969e520287f02af33069edef46eb8589520b91f9d3c202dca26)