Question: neee help in this mathematical analysis problem, thank (20 marks) Let f : [0, 1] - R be continuous with f(0) = f(1). Show that

neee help in this mathematical analysis problem, thank

(20 marks) Let f : [0, 1] - R be continuous with f(0) = f(1). Show that there must exist x, y E [0, 1] satisfying (x - y| = ; and f(x) = f(y). (Hint: You can define g(x) = f(x) - f(x + 1/2) on [0, 1/2])

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