Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.2 - Polynomial Functions of Higher Degree - 3.2 Exercises - Page 263: 101

Answer

False

Work Step by Step

False. It is not possible for a polynomial with even degree to have a range of $(-\infty,\infty)$ because for a polynomial with even degree both ends of the graph will have the same direction which thus on one side of the range is infinity while the other side will have the minimum or maximum value and not infinity.
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