For the function given below, which statements concerning Rolle's theorem are true? Select all that apply: f(x) = = x²-x-2 x² - 5x+4 over -6. Rolle's theorem does not apply because f is not continuous on the closed interval [−6, 3]. Rolle's theorem does not apply because of is not differentiable on the open interval (–6, §). Rolle's theorem does not apply because f (-6) ‡ƒ (²}). All three criteria for Rolle's theorem hold, so Rolle's theorem can be used.

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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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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For the function given below, which statements concerning Rolle's theorem are true?
Select all that apply:
f(x) =
=
x²-x-2
x²- 5x+4
over -6.
Rolle's theorem does not apply because f is not continuous on the closed interval [-6,3].
Rolle's theorem does not apply because of is not differentiable on the open interval (-6,-).
Rolle's theorem does not apply because ƒ (-6) ‡ƒ (§}).
All three criteria for Rolle's theorem hold, so Rolle's theorem can be used.
Transcribed Image Text:For the function given below, which statements concerning Rolle's theorem are true? Select all that apply: f(x) = = x²-x-2 x²- 5x+4 over -6. Rolle's theorem does not apply because f is not continuous on the closed interval [-6,3]. Rolle's theorem does not apply because of is not differentiable on the open interval (-6,-). Rolle's theorem does not apply because ƒ (-6) ‡ƒ (§}). All three criteria for Rolle's theorem hold, so Rolle's theorem can be used.
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