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: