Maximums and minimums

  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. You must show your work, before we can help you. Any ideas?
     
  4. 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. 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. HallsofIvy

    HallsofIvy 40,780
    Staff Emeritus
    Science Advisor

    Same thing but I would have said "nn is NOT an "exponential" function."
     
  7. What about g(x)=1-4n+(x+6)n for n greater or equal to 3?
     
  8. Mark44

    Staff: Mentor

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

    Pere, this one, too.
     
  9. 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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