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 - Section 2.1 - Introduction to Functions - Exercise Set - Page 114: 50

Answer

Sample answer: $\{(1,1), (2,1)\}$

Work Step by Step

For a relation to be a function, we can not have two ordered pairs with the the same first component, and different second components. E.g.,$ \{(1,1),(1,2)\}$ is not a function, there are two different ordered pairs have the same first component. It is not forbidden for two different first components to have the same second component, $\{(1,1), (2,1)\}$ is a function ... no two different ordered pairs have the same first component. However, if we reverse the components, $\{(1,1),(1,2)\}$ is not a function, as we said in the first paragraph. Sample answer: $\{(1,1), (2,1)\}$
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