Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Mid-Chapter Check Point: 1

Answer

domain: $\left\{1, 2\right\}$ range: $\left\{-6, 4, 6\right\}$ The relation is not a function.

Work Step by Step

The domain is the set that contains all of the first coordinates. Thus, the domain is $\left\{1, 2\right\}$. The range is the set that contains all of the second coordinates. Thus, the range is $\left\{-6, 4, 6\right\}$. The requirement for a function is that each input (part of the domain) has exactly one output (part of the range). The first coordinate $2$ is paired with two different second coordinates, (6 and -6). Therefore the given relation is not a function.
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