Chapter 13.4, Problem 36E

To determine

The formula from the function $\underset{x\to \infty }{\lim }f\left(x\right)=0$, $\underset{x\to \infty }{\lim }f\left(x\right)=-\infty$, $f\left(2\right)=0$, $\underset{x\to 3^{-}}{\lim }f\left(x\right)=\infty$ and $\underset{x\to 3^{+}}{\lim }f\left(x\right)=-\infty$.