Suppose that f is a continuous function on [a,b]. Is the given statement true or false? If they're true, explain why. If they're false, explain why or give examples that show it's false. a) f attains an absolute maximum f(c) and an absolute minimum f(d) for some numbers c and d in [a, b] b) f'(c) Exists for every c in [a, b) c) f attains every possible value between f(a) and f(b)

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