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Maximums and minimums

  1. Nov 23, 2008 #1
    1. The problem statement, all variables and given/known data

    suppose that g is a function defined and continuous on (-2,2) and that g" exists on the open interval (-2,2). if g(-2)=1 and g">4 for all x in (-2,2), how large can g(1) possibly be?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 23, 2008 #2
    You must show your work, before we can help you. Any ideas?
     
  4. Nov 23, 2008 #3
    i have no idea. we havent done these type of problems before. usually he just gives us an equation and just asks us to find the max
     
  5. Nov 23, 2008 #4
    i have no idea. we havent done any problems like this before. Usually he just gives us an equation and asks for the max
     
  6. Nov 24, 2008 #5

    HallsofIvy

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    Same thing but I would have said "nn is NOT an "exponential" function."
     
  7. Nov 24, 2008 #6
    What about g(x)=1-4n+(x+6)n for n greater or equal to 3?
     
  8. Nov 24, 2008 #7

    Mark44

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    Staff: Mentor

    I think your reply pertains to a different question...

    Pere, this one, too.
     
  9. Nov 24, 2008 #8
    I think my post belongs to this question. The function g I suggested satisfies g(-2)=1 and g''>4 in (-2,2). I intended to motivate the OP to check what g(1) is and how this relates to his question.
     
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