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a) Determine whether Rolle's Theorem applies for the function f(x) = 2 |x 1| 1 over the interval [0,2] b) If it applies find

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a) Determine whether Rolle's Theorem applies for the function f(x) = 2 |x 1| 1 over the interval [0,2] b) If it applies find the number c guaranteed by the Theorem; if it does not apply state one of the hypotheses that it fails to satisfy.

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