Question: Construct a function f such that f(0)=0, f(3)=1, and f is defined on [0,3], but there is no value c for which f(c) is equal

Construct a function f such that f(0)=0, f(3)=1, and f is defined on [0,3], but there is no value c for which f(c) is equal to the average value of f.

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