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    Continuous functions

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    Suppose that F is a continuous function on [0,1]
    and f(x) is in [0,1] for each x. Prove that f(x)=x for some x.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:03 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/continuous-functions-26464

    Solution Summary

    This is a proof regarding a continuous function.

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