Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.8 - One-to-One Functions and Their Inverses - 2.8 Exercises - Page 226: 7

Answer

Not one-to-one

Work Step by Step

To know if the given function represents a one-to-one function, perform the Horizontal Line Test. If each horizontal line will pass through exactly one point of the graph, then the function is one-to-one. Note that not all horizontal lines will intersect the given graph at exactly one point only (the green line intersects the graph in $3$ points). This means that the given function is not an one-to-one function.
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