Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)f(x) = x³ - 4x2 – 16x + 3, [-4, 4]c = 4,Enhanced FeedbackPlease try again. The three hypotheses of Rolle's Theorem for a function f on the given interval [a, b] are:(i) f is continuous on [a, b],(ii) f is differentiable on (a, b), and(iii) f(a) = f(b).Verify each of these, and then use the quadratic formula to solve for c in f '(c)= 0 to obtain all numbers c in (a, b) that satisfy the conclusion of Rolle's Theorem.

Answered: Image /qna-images/answer/b6737fb6-af16-4141-80b2-bba6714b5066.jpg

ed Feedback ry again. The three hypotheses of Rolle's Theorem for a function f on the given interval [a, b] are: ontinuous on [a, b], differentiable on (a, b), and - f(b). ach of these, and then use the quadratic formula to solve for c in f'(c) = 0 to obtain all numbers c in (a, b) that satisfy the conclusion of Rolle's Theorem.

ed Feedback ry again. The three hypotheses of Rolle's Theorem for a function f on the given interval [a, b] are: ontinuous on [a, b], differentiable on (a, b), and - f(b). ach of these, and then use the quadratic formula to solve for c in f'(c) = 0 to obtain all numbers c in (a, b) that satisfy the conclusion of Rolle's Theorem.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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