Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all that apply.) f(x) = (x - 6)(x - 7)(x - 9), [6, 9] V Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b). O No, because f is not differentiable in the open interval (a, b). O No, because f(a) + f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all that apply.) f(x) = (x - 6)(x - 7)(x - 9), [6, 9] V Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b). O No, because f is not differentiable in the open interval (a, b). O No, because f(a) + f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 18E

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