Let f(x) – x*(x - 2)°.(a) Find the critical numbers of the function f. (Enter your answers from smallest to largest.)smallest valuex2largest valuex3(b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers?Select-At x, the second derivative testSelect-the second derivative testAt X2Select-the second derivative testAt X3(c) What does the First Derivative Test tell you? Note what the First Derivative Test tells you that Seconddoes not.Select-At X1the first derivative testAt x, the first derivative testSelect-the first derivative testAt X3

Answered: Let f(x) = x*(x – 2)°. %3D (a) Find the…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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