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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) x² - 3x - 10 [-2, 5] x + 7 Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) = f(b). f(x) = 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. C= 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.) x² - 3x - 10 [-2, 5] x + 7 Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) = f(b). f(x) = 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. C= Rolle's Theorem cannot be applied, enter NA.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) x²-3x - 10 [-2, 5] x + 7 Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ‡ f(b). f(x) C = = 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.)
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) x²-3x - 10 [-2, 5] x + 7 Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ‡ f(b). f(x) C = = 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.)
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