Determine whether the Rolle's Theorem applies to the function on the given closed interval. If so, find all possible values of c as in the conclusion of the theorem. If the theorem does not apply, state the reason. (a) G(x) = on [-3,-1] -21² 4x+8

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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6) Determine whether the Rolle's Theorem applies to the function on the given closed interval. If so, find all
possible values of c as in the conclusion of the theorem. If the theorem does not apply, state the reason.
(a) G(x) =
-2x²2
4x+8 on [-3,-1]
-
(b) g(x) = (x − 3)²/³ on [1,5].
(c) k(x) = 3x² + 30x +3 on [-7,-3]
Transcribed Image Text:6) Determine whether the Rolle's Theorem applies to the function on the given closed interval. If so, find all possible values of c as in the conclusion of the theorem. If the theorem does not apply, state the reason. (a) G(x) = -2x²2 4x+8 on [-3,-1] - (b) g(x) = (x − 3)²/³ on [1,5]. (c) k(x) = 3x² + 30x +3 on [-7,-3]
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