Answer
a. $[-3,5]$
b. $[-2,4]$
c. $-1,2,5$
d. $-2$
e. $(0,3)$
f. $(-3,0)$ and $(3,5)$
g. $-3$
h. $4$
i. $2$
Work Step by Step
Based on the given graph, we can identify:
a. the domain of $f$ as $[-3,5]$
b. the range of $f$ as $[-2,4]$
c. the x-intercept as $-1,2,5$
d. the y-intercept as $-2$
e. the interval where $f$ is increasing as $(0,3)$
f. the intervals where $f$ is decreasing as $(-3,0)$ and $(3,5)$
g. the number at which $f$ has a maximum value as $x=-3$
h. the maximum value of $f$ as $4$
i. the value at $f(3)=2$
