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Math Help - absolute maximum and absolute minimum value

  1. #1
    Junior Member
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    absolute maximum and absolute minimum value

    Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x^3 - 3x + 1
    [0,3]

    how do i find this?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Absolute Extrema can occur

    1. At end points

    2. Critical points

    Compute f(0), f(3) and the value of f(x) at all critical ponts on [0,3].

    simply the largest is the abs max, the smallest is the abs min
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  3. #3
    Math Engineering Student
    Krizalid's Avatar
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    note also that in order to get the right answer we have that min and max are attained on that inverval.
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