Chapter 2.1, Problem 25E

Sketch the graph of a function g that is continuous on its domain $\left(-5,5\right)$ and where $g\left(0\right)=1$, $g\prime \left(0\right)=1$, $g\prime \left(-2\right)=0$, ${\lim }_{x\to -5^{+}}g\left(x\right)=\infty$, and ${\lim }_{x\to 5^{-}}g\left(x\right)=3$.