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Math Help - finding absolute extrema

  1. #1
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    finding absolute extrema

    normal equation
    ----------------
    f(x) = (2x+5)/3 , [0,5] <--- interval

    used quotient rule and obtained 2/3 as the derivative....

    this means the slope of the function f(x) is constant slope of 2/3....

    im guessing the max point is x=5 and min is x=0?
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  2. #2
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    Quote Originally Posted by maybnxtseasn View Post
    normal equation
    ----------------
    f(x) = (2x+5)/3 , [0,5] <--- interval

    used quotient rule and obtained 2/3 as the derivative....

    this means the slope of the function f(x) is constant slope of 2/3....

    im guessing the max point is x=5 and min is x=0?

    Correct.
    Actually, the general function f(x)=ax+b is just a straight line, if a>0 then the line is increasing, so the maximum value occurs at the bigger end point and vice versa.
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