Consider the following function and closed interval. f(x) = x²/3 - 3, [-8, 8] sf continuous on the closed Interval [-8, 8]? ● Yes No ff is differentiable on the open Interval (-8, 8), find f'(x). (If It is not differentiable on the open Interval, enter DNE.) '(x) = Ind f(-8) and f(8). (-8) = f(8) = Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because fis not differentiable in the open interval (a, b). No, because f(a) + f(b). f 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.)

Consider the following function and closed interval. f(x) = x²/3 - 3, [-8, 8] sf continuous on the closed Interval [-8, 8]? ● Yes No ff is differentiable on the open Interval (-8, 8), find f'(x). (If It is not differentiable on the open Interval, enter DNE.) '(x) = Ind f(-8) and f(8). (-8) = f(8) = Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because fis not differentiable in the open interval (a, b). No, because f(a) + f(b). f 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

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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