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Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f ( x) =

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Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f ( x) = X [1, 4] x - 5' Yes, the Mean Value Theorem can be applied. O No, f is not continuous on [a, b]. O No, f is not differentiable on (a, b). O None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = f(b) - f(a) (Enter b - a your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) C = XDetermine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) f(x) = V' 1 X. [15, 1] Yes, the Mean Value Theorem can be applied. C] No, because 1' is not continuous on the closed interval [a, b]. C] No, because fis not differentiable in the open interval (a, b). [:l None of the above. 2/ f(b) _ f(a)- (Enter If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = b a your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) C: X Identify the open interval on which the function is increasing or decreasing. (Enter your answers using interval notation.) h(x) = cos 3X 0

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