Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.1 - Inverse Functions - 9.1 Exercises - Page 589: 35

Answer

a) blue graph is a one-to-one function b) red graph is the graph of the inverse function

Work Step by Step

A horizontal line drawn anywhere on the plane will intersect the given graph at only $1$ point. Hence, the given graph is a graph of a one-to-one function. Interchanging the $x$ and $y$ coordinates of the given points, $ (-1,5),(2,-1) $ results to the points \begin{align*}\require{cancel} (5,-1),(-1,2) .\end{align*} By connecting the new points above, then the graph of the inverse function is determined (red graph).
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