Answer
a. $(-4,\infty)$
b. $(-\infty,-1]$
c. $y=-1$
d. $(-2,3)$
e. $(-4,-2)$
f. $(3,\infty)$
g. $-1$
Work Step by Step
Based on the given graph, we have:
a. the domain of f: $(-4,\infty)$
b. the range of f: $(-\infty,-1]$
c. the y-intercept: $y=-1$
d. interval(s) where f is constant: $(-2,3)$
e. interval(s) where f is increasing: $(-4,-2)$
f. interval(s) where f is decreasing: $(3,\infty)$
g. $f(-2)=-1$