Relation and function

Home Forums Math Olympiad, I.S.I., C.M.I. Entrance Relation and function

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    Khushi Sharma
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    Let f:R⟶Rf:R⟶R be a continuous function such that |f(x)−f(y)|≥12|x−y|∀x,y∈R|f(x)−f(y)|≥12|x−y|∀x,y∈R. Then

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