Chapter 13.1, Problem 32E

(a)

To determine

To sketch: The function $f\left(x\right)=\{\begin{array}{l}2x+10\text{ if }x\le -2\\ -x+4\text{ if }x>-2\end{array}$ and determine the value of $\underset{x\to -2^{-}}{\lim }f\left(x\right)$ with the help of graph.

(b)

To determine

To find: The value of $\underset{x\to -2^{+}}{\lim }f\left(x\right)$ with the help of graph.

(c)

To determine

To sketch: The value of $\underset{x\to -2}{\lim }f\left(x\right)$ with the help of graph.