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Determine if EVT applies (Calculus I)

  1. Nov 11, 2012 #1
    1. The problem statement, all variables and given/known data
    Determine if the EVT (Extreme Value Theorem) applies to the following.

    Untitled.png

    on the interval [2, 8]



    3. The attempt at a solution

    For the Extreme Value Theorem to apply, the function must be on an interval, and the function must be continious.

    I believe the domain for this function is {x | x ≠ -4}

    But since -4 is not in the interval, the EVT should apply.
     
    Last edited: Nov 11, 2012
  2. jcsd
  3. Nov 11, 2012 #2

    Ray Vickson

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    (1) What on earth is an EVT?
    (2) Image does not show up on screen.

    RGV
     
    Last edited by a moderator: May 6, 2017
  4. Nov 11, 2012 #3
    Hi, sorry about that. I fixed it
     
  5. Nov 11, 2012 #4

    Ray Vickson

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    What, exactly, does the EVT say? I mean the version of the EVT theorem in your textbook or course notes. (I have seen some versions in which the answer would be "no" and other versions in which the answer would be "yes".)

    RGV
     
  6. Nov 11, 2012 #5
    The Extreme Value Theorem

    If f is continuous on a closed interval [a, b], then f attains an absolute maximum value f(c) for some number c in [a, b] and an absolute minimum value f(d) for some number d in [a, b].

    That's what my textbook says
     
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