Given a function f continuous on the interval [a,b] and differentiable on (a,b),which of the following statements is NOT always true?O f has an absolute extremum on [a,b].if the function values at a and b are both zero, then there exists c in (a,b) such thatf(c) =0.O there exists c in (a,b) such that f(c) = (f(b)-f(a))/(b-a).%3DO None of the above.

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na function f continuous on the interval [a,b] and differentiable on (a,b), Eh of the following statements is NOT always true? f has an absolute extremum on [a,b]. if the function values at a and b are both zero, then there exists c in (a,b) such that f'(c) =0. there exists c in (a,b) such that f'(c) = (f(b)-f(a))/(b-a). None of the above.