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Math Help - Which is max min

  1. #1
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    Which is max min

    If f(1)=4,f(2)=5,\ f(7)=5,\ f(8)=4, find the value of f(6). also obtain the value of x for which f(x) is maximum or minimum
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  2. #2
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    Quote Originally Posted by zorro View Post
    If f(1)=4,f(2)=5,\ f(7)=5,\ f(8)=4, find the value of f(6). also obtain the value of x for which f(x) is maximum or minimum
    There is insufficient information on f to do anything useful with this.

    You could assume assume a quadratic form for f, then fit it to the data. As the data is symetric about x=4.5, f would then be of the form:

    f(x)=k(x-4.5)^2+b

    Now determine k and b from the given data.

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