Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Quiz - Page 233: 7

Answer

domain: $-(-\infty, +\infty)$ range: $[0, +\infty)$

Work Step by Step

The arrowhead on the left side rises to the left. This means that the function covers all the negative x-values from $-3$ to the left. The arrowhead on the right side rises to the right. This means that the function covers all the real numbers from $-3$ to the right. The graph covers all possible x-values therefore its domain is $-(-\infty, +\infty)$. The graph of the function covers all the y-values from $0$ and above. Thus, its range is $[0, +\infty)$.
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