College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.2 - The Graph of a Function - 3.2 Assess Your Understanding - Page 219: 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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