## Precalculus (6th Edition) Blitzer

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.