College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.7 - Page 311: 72

Answer

The horizontal line test determines if a function is a one-to-one function. If a graph passes the test, that means the function has an inverse function because for each $x$-value, there is only one $y$-value and the relation $f^{-1}$ is a function. If the horizontal line passes through the graph more than once, the function lacks an inverse function.

Work Step by Step

The horizontal line test is performed by drawing a horizontal line through a graph to see if it touches more than one point on the graph.
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