Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Section 12.2 - Inverse Functions - Exercise Set - Page 853: 57

Answer

If it passes the horizontal line test, the function has an inverse.

Work Step by Step

If the graph is that of a function, it means that it has passed the vertical line test. In order to have an inverse, it has to be one-on-one. It now needs to pass the Horizontal Line Test: If every horizontal line intersects the graph of a function at most once, then the function is a one-to-one function.
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