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Extreme Value Theorm

  1. Sep 29, 2009 #1
    How is Extreme Value Theorm correct for a constant function such as y=1 , where is the maximum and minimum????????
     
  2. jcsd
  3. Sep 29, 2009 #2

    lurflurf

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    The minimum and maximum are every where.
    Recall that we say m is the minimum of f on a set A if it is true that
    there exist a in A such that
    f(a)=m and
    m<=f(x) for all x in A

    If we have for example
    f(x)=11 for [-10,10]
    we would say f has minimum 11 on [-10,10]
    depending what we were trying to do we would might further say
    The minimum of f is 11 and is achived for all x such that -10<=x<=10.
     
  4. Sep 29, 2009 #3
    Thanx man!!!!!!!!!!!! i got it.
     
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