Chapter 2.4, Problem 54E

Use g(x) to complete the following.

$g\left(x\right)=\left\{\begin{array}{l}-2x-\text{ 6 }if-8\le x\le -\text{2 }\\ xif-\text{2 }\le x\le \text{ 2 }\\ \text{0}\text{.5}x\text{ + 1 }if\text{ 2 }<x\le \text{ 8}\end{array}\right.$

(a) Evaluate g at x = −8, −2, 2, and 8.

(b) For what x-values is g increasing?

(c) Sketch a graph of g. Is g continuous on its domain?