Answer
a. $[-3,5)$
b. $[-5,0]$
c. $x=-3$
d. $y=-2$
e. $(-2,0)$ and $(3,5)$, $(-3,-2)$ and $(0,3)$
f. $f(-2)=-3, f(3)=-5$
Work Step by Step
Using the figure given in the exercise, we have:
a. the function’s domain as $[-3,5)$
b. the function’s range as $[-5,0]$
c. the x-intercepts as $x=-3$
d. the y-intercept as $y=-2$
e. intervals on which the function is increasing as $(-2,0)$ and $(3,5)$, decreasing as $(-3,-2)$ and $(0,3)$
f. $f(-2)=-3, f(3)=-5$