#### Answer

a. $(-\infty,\infty)$
b. $(-\infty,3]$
c. $x=-2, 3$
d. $y=3$
e. $(-\infty,3)$, $(0,\infty)$
f. $f(-2)=0, f(6)=-3$

#### Work Step by Step

Using the figure given in the exercise, we have:
a. the function’s domain as $(-\infty,\infty)$
b. the function’s range as $(-\infty,3]$
c. the x-intercepts as $x=-2, 3$
d. the y-intercept as $y=3$
e. intervals on which the function is increasing as $(-\infty,3)$, decreasing as $(0,\infty)$
f. $f(-2)=0, f(6)=-3$