Suppose that f is continuous on [0, 2] and that f(0) = f(2). Prove that there exist x, y in [0 , 2]


Question: Suppose that f is continuous on [0, 2] and that f(0) = f(2). Prove that there exist x, y in [0 , 2] such that |y - x| = 1 and f(x) = f(y).

Hint: Consider g(x) = f(x+1) - f(x) on [0 , 1]

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Solution: The solution consists of 1 page
Deliverables: Word Document

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