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Homework Help: What does a real-valued function on [0,1] mean ?

  1. Sep 26, 2010 #1
    1. The problem statement, all variables and given/known data
    As the tittles says "What does a real-valued function on [0,1] mean ?"

    3. The attempt at a solution
    Does it mean [tex] 0 \leq f(x) \leq 1[/tex] for all x

    Or does it mean[tex] x \in[0,1][/tex] and f(x) need not be bounded ?

    Or does it mean something else ?

    I am trying to write a proof which talks about a real valued function on [0,1] and I need to understand to eventually write the proof.
  2. jcsd
  3. Sep 26, 2010 #2


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    Homework Helper

    It just means for x in [0,1] f(x) is a real number. It doesn't imply bounded or anything else.
  4. Sep 26, 2010 #3
    Alright, thanks.
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