Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 8 - Section 8.4 - Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions - Exercise Set - Page 607: 47

Answer

Answers may vary. $y=2+\sqrt {5-x}$ This graph is a function since it passes the vertical line test.

Work Step by Step

The graph of $y=\sqrt x$ has a domain of [0, infinity) and a range of [0, infinity). Adding 2 to the function changes the range to [2, infinity). Changing the variable from $x$ to $5-x$ changes the domain to (-infinity, 5].
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