please type so that I can read your solution do not handwrite Determine whether Rolle's Theorem applies to the function k(x) =8xon the interval [-5, 5]. If it applies, find all possible values of c as in the conclusion of thex2 – 9theorem. If the theorem does not apply, state the reason.AnswerE KeypacKeyboard ShortcO Yes, Rolle's Theorem applies and c = ±3.O No, Rolle's Theorem does not apply because k(x) is not continuous on [-5, 5], k(x) is not differentiable on (-5, 5), and k(-5) + k(5).k(5) – k(-5)O No, Rolle's Theorem does not apply because there is no c € (-5,5) for which k'(c) =5 - (-5)O Yes, Rolle's Theorem applies and c = 0.

The given function is k(x) =8xx2-9 on the interval -5, 5. At first we check whether Rolle's theorem…

Determine whether Rolle's Theorem applies to the function k(x) = x2 8x on the interval [-5, 5]. If it applies, find all possible values of c as in the conclusion of the 9 theorem. If the theorem does not apply, state the reason. Answer 画 Keypa Keyboard Shorto O Yes, Rolle's Theorem applies and c = ±3. O No, Rolle's Theorem does not apply because k(x) is not continuous on [-5, 5], k(x) is not differentiable on (-5, 5), and k(-5) # k(5). k(5) – k(-5) O No, Rolle's Theorem does not apply because there is no c E (-5, 5) for which k'(c) = 5 - (-5) O Yes, Rolle's Theorem applies and c = 0.

Determine whether Rolle's Theorem applies to the function k(x) = x2 8x on the interval [-5, 5]. If it applies, find all possible values of c as in the conclusion of the 9 theorem. If the theorem does not apply, state the reason. Answer 画 Keypa Keyboard Shorto O Yes, Rolle's Theorem applies and c = ±3. O No, Rolle's Theorem does not apply because k(x) is not continuous on [-5, 5], k(x) is not differentiable on (-5, 5), and k(-5) # k(5). k(5) – k(-5) O No, Rolle's Theorem does not apply because there is no c E (-5, 5) for which k'(c) = 5 - (-5) O Yes, Rolle's Theorem applies and c = 0.

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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