Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises: 3


A function $f$ that is not one-to-one will fail the horizontal line test.

Work Step by Step

A function $f$ that is not one-to-one will have multiple $x$ values for one $y$ value, which means a horizontal line (a line parallel to the $x$-axis) connecting two points on the graph of said function can be drawn. Since this can be done, a function $f$ that is not one-to-one is said to fail the horizontal line test meaning it cannot have an inverse function.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.