## College Algebra (10th Edition)

The graph represents a function. (a) domain: $(-\infty, +\infty)$. range: $(-\infty, 5]$. (b) x-intercepts: $-1$ and $2$ y-intercept: $4$ (c) The graph is not symmetric with respect to the x-axis, the y-axis, or the origin.
The graph passes the vertical line test since all vertical lines will pass through the graph only once. Thus, the graph represents a function. (a) The graph covers the the entire x-axis. Thus, the domain is $(-\infty, +\infty)$. The graph covers the y-values below $5$. Thus, the range is $(-\infty, 5]$. (b) The graph touches the x-axis at $(-1, 0)$ and $(2, 0)$. Thus, the x-intercepts are: $-1$ and $2$. The graph crosses the y-axis at $(0, 4)$. Thus, the y-intercept is $4$. (c) The graph is not symmetric with respect to the x-axis, the y-axis, or the origin.