Answer
a. $[-4,\infty)$
b. $(-\infty,3]$
c. $\pm4$
d. $2$
e. $(-4,-2)$
f. $(-2,\infty)$
g. $-2$
h. $3$
i. $ 2$
Work Step by Step
Based on the given graph, we have:
a. the domain of f: $[-4,\infty)$
b. the range of f: $(-\infty,3]$
c. the x-intercepts: $x=\pm4$
d. the y-intercept: $y=2$
e. interval(s) where f is increasing: $(-4,-2)$
f. interval(s) where f is decreasing: $(-2,\infty)$
g. the number at which f has a relative maximum: $x=-2$
h. the relative maximum of f: $f(-2)=3$
i. $f(-3)=2$