Answer
The graph represents a function.
(a)
domain: $[-\pi, \pi]$
range: $[-1, 1]$
(b)
x-intercepts: $-\frac{\pi}{2}$ and $\frac{\pi}{2}$
y-intercept: $1$
(c)
The graph is symmetric with respect to the y-axis.
Work Step by Step
The graph passes the vertical line test since all vertical lines will pass through the graph at a maximum of one point only.
Thus, the graph represents a function.
(a)
The graph covers the x-values from $-\pi$ to $\pi$.
Thus, the domain is $(-\pi, \pi)$.
The graph covers the y-values -1 to 1.
Thus, the range is $[-1, 1]$.
(b)
The graph crosses the x-axis at $-\frac{\pi}{2}$ and $\frac{\pi}{2}$.
Thus, the x-intercepts are: $-\frac{\pi}{2}$ and $\frac{\pi}{2}$.
The graph crosses the y-axis at $(0, 1)$, so the y-intercept is $1$.
(c)
The graph is symmetric with respect to the y-axis