If f is a continuous function on the closed interval [a,b], which of the following must be true? a) There is a number c in the open interval (a,b) such that f(c)=0. b) There is a number c in the open interval (a,b) such that f(a)<f(c)<f(b). c) There is a number c in the closed interval [a,b] such that f(c)≥f(x) for all x in [a,b]. d) There is a number c in the open interval (a,b) such that f'(c)=0. e) There is a number c in the open interval (a,b) such that f'(c)=[f(b)-f(a)]/(b-a).

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OpenStudy (anonymous):

If f is a continuous function on the closed interval [a,b], which of the following must be true? a) There is a number c in the open interval (a,b) such that f(c)=0. b) There is a number c in the open interval (a,b) such that f(a) 14 years ago

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