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Local Extreme Values

  1. Mar 15, 2005 #1
    I'm kind of confused about whether or not an endpoint of an interval could also be a local extreme value. According to my textbook, it's true, but on the review sheets, the answers never included endpoints as local extrema. So can endpoints be local extrema?
     
  2. jcsd
  3. Mar 16, 2005 #2

    xanthym

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    There's some debate over this issue. Many definitions indicate that endpoints canNOT be local (relative) extrema. However, there are also many definitions that indicate otherwise, so you should check with your teacher on the specific definition to be used for your class.

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  4. Mar 16, 2005 #3

    HallsofIvy

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    It depends upon whether the endpoints are included in the interval or not.

    a< x< b does not include the endpoints so they cannot be local maxima or minima.
     
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