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Math I'm so confused

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Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)
f(x) = x2 − x − 5 on [0, 5]

Come someone please show me how to do these problems? I'm lost

  • Math I'm so confused -

    Set the derivative equal to zero and see if there is a solution in that interval.

    2x - 1 = 0

    x = 1/2

    Now plot it (or take the second derivative f''(x) = 2) to see if that is a maximum or a minimum.

    If you have not learned what a derivative is, complete the square of the f(x) function.

    f(x) = (x - 1/2)^2 - 5 1/16 = 0

    Obviously the lowest value of f(x) is obtained at x = 1/2

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