## College Algebra (10th Edition)

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.
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