Answer
a. $R$
b. $y\leq3$
c. $x$-intercepts $=-2$ and $3$
d. $y$-intercept $=3$
e. increasing as ${x\lt0}$
decreasing as $x\gt0$
f. $f(-2)=0$ and $f(6)=-3$
Work Step by Step
As we can see from the graph
a. Domain $= \mathbb{R}$, all real numbers
b. Range={$y\leq3$}
c. $x$-intercepts $=-2$ and $3$
d. $y$-intercept $=3$
e. $f(x)$ is increasing as ${x\lt0}$
$f(x)$ is decreasing as $x\gt0$
f. $f(-2)=0$ and $f(6)=-3$