Chapter 2, Problem 9RE

Sketching a graph Sketch the graph of a function f with all the following properties.

  $\begin{array}{lll}\underset{x\to -2^{-}}{\lim }f(x)=\infty \hfill & \underset{x\to -2^{+}}{\lim }f(x)=-\infty \hfill & \underset{x\to 0}{\lim }f(x)=\infty \hfill \\ \underset{x\to 3^{-}}{\lim }f(x)=2\hfill & \underset{x\to 3^{+}}{\lim }f(x)=4\hfill & f(3)=1\hfill \end{array}$