# Chapter 3 - Section 3.2 - The Graph of a Function - 3.2 Assess Your Understanding: 23

The graph represents a function. (a) domain: $(-\infty, +\infty)$ range: $[-3, +\infty)$ (b) x-intercepts: $1$ and $3$ y-intercept: $9$ (c) The graph is not symmetric.

#### Work Step by Step

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 above $-3$. Thus, the range is $[-3, +\infty)$. (b) The graph touches the x-axis at $(1, 0)$ and $(3, 0)$. Thus, the x-intercepts are: $1$ and $3$. The graph crosses the y-axis at $(0, 9)$. Thus, the y-intercept is $9$. (c) The graph is not symmetric.

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