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: 20

Answer

The graph is that of a function. $\mathrm{a}$. Domain: $\{x|0\leq x<4\}$ or $[0,4)$ Range: $\{y|0\leq y<3\}$ or $[0,3)$ $\mathrm{b}$. Intercepts: $(0,0)$ $\mathrm{c}$. No symmetry.

Work Step by Step

The graph passes the vertical line test (any vertical line intersects the graph in at most one point.) The graph is that of a function. $a.$ The points on the graph have x-coordinates from 0 (included) to 4 (excluded). Domain: $\{x|0\leq x<4\}$ or $[0,4)$. The y coordinates are from 0 (included) to 3 (excluded). Range: $\{y|0\leq y<3\}$ or $[0,3)$ $b.$ The points on the graph that belong to the axes: one point, (0,0). $c.$ No symmetry.
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