Chapter 2.2, Problem 77E

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

77. $\begin{array}{l}\underset{x\to -\infty }{\lim }f\left(x\right)=0,\underset{x\to -1^{-}}{\lim }f\left(x\right)=-\infty ,\underset{x\to 1^{+}}{\lim }f\left(x\right)=\infty ,\underset{x\to 0}{\lim }f\left(x\right)=f\left(0\right),\\ f\left(0\right)=1,\underset{x\to \infty }{\lim }f\left(x\right)=-\infty \end{array}$