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Math Help - Finding Values from points of inflection and avg. mean value

  1. #1
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    Finding Values from points of inflection and avg. mean value

    Let F be the function by f(x)=x^3+ax^2+bx+c and having the following properties:

    (i) The graph of f has an inflection point at (0,2)
    (ii) the average mean value of f(x) on the closed interval [0,-2] is -3

    a.) Determine the value of a, b, and c
    b.) Determine the value of x that satisfies the conclusion of the mean value theorem for f on the closed interval [0,3]

    Okay so I found out that both a and b equals -1 based on the properties, but I cant fins out what c is and I'm stuck. Help please?
    Last edited by mr fantastic; March 2nd 2009 at 03:14 AM.
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  2. #2
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    Quote Originally Posted by ment2byours View Post

    (i) The graph of f has an inflection point at (0,2)
    that means (0,2) must lie on the curve.

    hence, f(0)=2 => c=2

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  3. #3
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    Oh thanks, but I already solve this problem long ago. I thought I should leave it on just in case someone needs it.
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  4. #4
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    lol. ok
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