Chapter 13.1, Problem 33E

To determine

To evaluate: The graph of the example function $f$ that satisfies the following conditions and the number of functions has traced with the help of these conditions.

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