Chapter 11.1, Problem 30E

(a)

To determine

To graph: The given function;

$g\left(x\right)=\{\begin{array}{c}{x}^2\to x<-1\\ x+2\to -1\le x<1\\ 3-x\to x\ge 1\end{array}$.

(b)

To determine

To calculate: The value of indicated limit $\underset{x\to -1}{\lim }g\left(x\right)$ using the graph in (a)

(c)

To determine

To calculate: The value of indicated limit $\underset{x\to 0}{\lim }g\left(x\right)$ using the graph in (a)

(d)

To determine

To calculate: The value of indicated limit $\underset{x\to 1}{\lim }g\left(x\right)$ using the graph in (a)