Answer
a. $ 5$
b. $(-5,6]$
c. $[-4,5]$
d. $(-1,2)$
e. $(-5,-1)$ and $(2,6)$
f. $f(2)=5$
g. $f(-1)=-4$
h. $x=-4, 1, 5$
i. $y=-3$
Work Step by Step
Using the graph given in the exercise, we have:
a. $f(4)-f(-3)=3-(-2)=5$
b. The domain of $f$ can be identified as $(-5,6]$
c. The range of $f$ can be identified as $[-4,5]$
d. We can identify that the function increases on $(-1,2)$
e. We can identify that the function decreases on $(-5,-1)$ and $(2,6)$
f. We can identify a relative maximum at $x=2$ and $f(2)=5$
g. We can identify a relative minimum at $x=-1$ and $f(-1)=-4$
h. We can identify the x-intercept as $x=-4, 1, 5$
i. We can identify the y-intercept as $y=-3$
