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: 22

Answer

The graph is that of a function. $\mathrm{a}$. Domain: $\{x|x\geq-3\}$ or $[-3,+\infty)$. Range: $\{y|y\geq 0\}$ or $[0,+\infty)$. $\mathrm{b}$. Intercepts: $(-3,0), (2,0), (0,2)$ $\mathrm{c}$. 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 $-3$ (included) onwards (unbounded). Domain: $\{x|x\geq-3\}$ or $[-3,+\infty)$. The y coordinates are from 0 (included) upwards (unbounded). Range: $\{y|y\geq 0\}$ or $[0,+\infty)$. $b.$ The points on the graph that belong to the axes: x-intercepts: $(-3,0), (2,0),$ y-intercept: $(0,2)$ $c.$ No symmetry.
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