Answer
(a) Domain: $[-\pi,\pi]$; Range: $[-1,1]$
(b) $x$-intercepts: $-\frac{\pi}{2}$ and $\frac{\pi}{2}$; $y$-intercept is $1$
(c) The graph is symmetric about the $y$ axis
Work Step by Step
The given graph pass the vertical-line test since all vertical lines will pass through the graph at a maximum of one point only. Thus, the given graph represents a function.
(a)
The graph covers the $x$-axis from $x=-\pi$ to $\pi$ so its domain is $[-\pi,\pi]$
The graph covers the $y$-axis from $y=-1$ to $1$ so its range is $[-1,1]$
(b)
The graph crosses the $x$-axis at $-\frac{\pi}{2}$ and $\frac{\pi}{2}$ and crosses the $y$-axis at $1$.
Thus, the $x$-intercepts are $-\frac{\pi}{2}$ and $\frac{\pi}{2}$ while the $y$-intercept is $1$.
(c)
The graph is symmetric about $y$ axis
