Answer
a. {$-3\leq x \lt5$}
b. {$-5\leq y \leq0$}
c. $x-intercept=(-3,0)$
d. $y-intercept=(0,-2)$
e. decreasing on $[-3,-2]$
increasing on $[-2,0]$
decreasing on $[0,3]$
increasing on $[-3,5)$
f. $f(-2)=-3$ and $f(3)=-5$
Work Step by Step
As we can see from the graph
a. Domain={$-3\leq x \lt5$}
b. Range={$-5\leq y \leq0$}
c. $x-intercept=-3$
d. $y-intercept=-2$
e. $f(x)$ is decreasing on $[-3,-2]$
$f(x)$ is increasing on $[-2,0]$
$f(x)$ is decreasing on $[0,3]$
$f(x)$ is increasing on $[3,5)$
f. $f(-2)=-3$ and $f(3)=-5$
