Let f: [0,1] -> R be continuous with f(0) = f(1). Show that there must exist x,y in [0,1] which are of distance 1/2 apart (i.e |x-y| = 1/2) for which f(x) = f(y). (R = real numbers)
Let f: [0,1] -> R be continuous with f(0) = f(1). Show that
there must exist x,y in [0,1] which are of distance 1/2 apart (i.e |x-y| = 1/2) for which f(x) = f(y). (R = real numbers)
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