Answer
function
(a) domain $\{x|-\pi\le x\le \pi \}$ and range $\{y|-1\le y\le1\}$.
(b) $(0,0),(\pm\pi,0)$.
(c) origin.
Work Step by Step
The graph is a function based on the vertical line test.
(a) We can find its domain $\{x|-\pi\le x\le \pi \}$ and range $\{y|-1\le y\le1\}$.
(b) The intercept(s) can be found as $(0,0),(\pm\pi,0)$.
(c) We can see that there is symmetry with respect to the origin.