Answer
(a) $(0,0),(\pm\pi,0)$.
(b) domain $[-\pi,\pi]$ and range $[-1,1]$
(c) increasing $(-\frac{\pi}{2},\frac{\pi}{2})$, decreasing $(-\pi,-\frac{\pi}{2}),(\frac{\pi}{2},\pi)$.
(d) odd.
Work Step by Step
(a) Based on the graph, we can find the intercept(s) $(0,0),(\pm\pi,0)$.
(b) We can find the domain $[-\pi,\pi]$ and range $[-1,1]$
(c) The intervals on which the function is increasing $(-\frac{\pi}{2},\frac{\pi}{2})$, decreasing $(-\pi,-\frac{\pi}{2}),(\frac{\pi}{2},\pi)$.
(d) We can identify that the function is odd.
