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Math Help - help.. . concavity curve sketching

  1. #1
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    help.. . concavity curve sketching

    Sketch a possible graph with the following characteristics



    dont even know where to start. . . any help is appreciated.

    thanks

    Jordan
    Last edited by jwbehm; July 22nd 2009 at 07:54 PM.
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  2. #2
    MHF Contributor red_dog's Avatar
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    If f'(-2)=f'(2)=0 then we can consider f'(x)=a(x^2-4)

    Then f(x)=\frac{ax^3}{3}-4ax+c

    f(0)=4, \ f(2)=0\Rightarrow c=4, \ a=\frac{3}{4}

    Therefore f(x)=\frac{1}{4}x^3-3x+4

    See the graph.
    Attached Thumbnails Attached Thumbnails help.. . concavity curve sketching-graph1.jpg  
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  3. #3
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    Quote Originally Posted by jwbehm View Post
    Sketch a possible graph with the following characteristics



    dont even know where to start. . . any help is appreciated.

    thanks

    Jordan
    It is insulting to delete image links after getting help. Thread closed.
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