Chapter 2, Problem 2RE

Sketch the graph of a function f that satisfies all of the following conditions:

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

f is continuous from the right at 3