Chapter 2.2, Problem 78E

In the following exercises, sketch the graph of a function with the given properties.

78 $\underset{x\to -\infty }{\lim }f\left(x\right)=2,\underset{x\to 3^{-}}{\lim }f\left(x\right)=-\infty ,\underset{x\to 3^{+}}{\lim }f\left(x\right)=\infty ,\underset{x\to \infty }{\lim }f\left(x\right)=2,f\left(0\right)=\frac{-1}{3}$