Answer
$f(x)$, domain $(-\infty, \infty)$, range $[0,\infty)$
$g(x)$, domain $(-\infty, \infty)$, range $[-2,\infty)$
Work Step by Step
Step 1. For function $f(x)=|x|$, shown as the red curve in the figure, we can identify its domain as $(-\infty, \infty)$ and its range as $[0,\infty)$
Step 2. For function $g(x)=\frac{1}{2}|x+1|-2$, shown as the green curve in the figure, we can identify its domain as $(-\infty, \infty)$ and its range as $[-2,\infty)$
