Question For the function given below, which statements concerning Rolle's theorem are true? f(x) = x-16x+2 over [0, 4] Select the correct answer below: O Rolle's theorem does not apply because f is not continuous on the closed interval [0, 4]. Rolle's theorem does not apply because f is not differentiable on the open interval (0, 4). O Rolle's theorem does not apply because f (0) #f (4). All three criteria for Rolle's theorem hold, so Rolle's theorem can be used.

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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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CURRENT OBJECTIVE
Apply Rolle's theorem
Question
For the function given below, which statements concerning Rolle's theorem are true?
f(x) = x³ – 16x+ 2 over [0, 4]
Select the correct answer below:
O Rolle's theorem does not apply because f is not continuous on the closed interval [0, 4].
O Rolle's theorem does not apply because f is not differentiable on the open interval (0, 4).
Rolle's theorem does not apply because f (0) f (4).
O All three criteria for Rolle's theorem hold, so Rolle's theorem can be used.
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Transcribed Image Text:CURRENT OBJECTIVE Apply Rolle's theorem Question For the function given below, which statements concerning Rolle's theorem are true? f(x) = x³ – 16x+ 2 over [0, 4] Select the correct answer below: O Rolle's theorem does not apply because f is not continuous on the closed interval [0, 4]. O Rolle's theorem does not apply because f is not differentiable on the open interval (0, 4). Rolle's theorem does not apply because f (0) f (4). O All three criteria for Rolle's theorem hold, so Rolle's theorem can be used. B FEEDBACK MORE INSTRUCTION SUBMIT Content attribution MacBook Pro Search or type URL & 7 CC
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