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Math Help - Analysis

  1. #1
    Junior Member
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    Analysis

    Thanks in advance for the help.

    definition: a function f is said to cover the set M if for every point y in M there is an x in the domain of f so that f(x)=y.

    Prove: Suppose that f is continuous with domain [a,b] so that f(x) is in [a,b] for every x in [a,b]. Prove that there is some x in [a,b] so that f(x)=x.
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  2. #2
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