Answer
See explanations.
Work Step by Step
Based on the given graph for function $f(x)$, we have:
a. domain $(-2,2)$, range $[-3,\infty)$
b. relative minimum $y=-3$, occurs at $x=0$
c.. the interval on which $f$ is increasing: $(0,2)$
d. $f(-1)-f(0)=0-(-3)=3$
e. $f\circ f (1)=f(f(1))=f(0)=-3$
f. $f(x)\to\infty$ as $x\to -2^+$ or as $x\to 2^-$
g. shift $f$ 2 units to the right and 1 unit up, as shown (drawing is not to scale).
h. shrink $f$ horizontally by a factor of 2, then reflect around the x-axis.
