Answer
(a) domain $[-5,5]$, range $[-3,3]$.
(b) $(\pm2,0),(0,2)$.
(c) $f(1)=3$.
(d) $x=-5,3$.
(e) $[-5,-2)\cup(2,5]$.
Work Step by Step
(a) Based on the given graph, we can find the domain $[-5,5]$, range $[-3,3]$.
(b) We can identify the intercepts as $(\pm2,0),(0,2)$.
(c) Use the graph, we can find $f(1)=3$.
(d) Use the graph, we can identify $f(-5)=f(3)=-3$, thus $x=-5,3$.
(e) The solution intervals for $f(x)\lt0$ are the parts below the x-axis, which are $[-5,-2)\cup(2,5]$.
