Answer
False
Work Step by Step
False. A fifth-degree polynomial function cannot have five turning points on its graph. With a degree of $n$, it can only have a maximum number of turning point of:
$$\text{number of turning points = }n-1=5-1=4$$
Algebra and Trigonometry 10th Edition
by Larson, Ron
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: 100
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