Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.8 Analyze Graphs of Polynomial Functions - 5.8 Exercises - Skill Practice - Page 391: 32

Answer

Sometimes

Work Step by Step

A $\textbf{turning point}$ of a function is a point in which the $y$-coordinate is a local maximum/minimum of the function which means the point is higher/lower than all nearby points. Consider the cubic function: $$f(x)=x^3.$$ This function does not have a turning point. Consider the cubic function: $$f(x)=x^3-x.$$ This function has two turning points. Therefore the answer is SOMETIMES.
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