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Consider the function f(x) = x-4x+9 on the interval [0, 4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the

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Consider the function f(x) = x-4x+9 on the interval [0, 4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. f(x) is on [0,4]: (answer is a word) f(x) is on (0,4): (answer is a word) and f(0) = f(4) = (answer is a number) Then by Rolle's theorem, there exists a e such that f'(e) = 0. Find the value c.

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