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Find the absolute maximum value and the absolute minimum value, if any, of the function.
g(x) = -x(^2) + 2 x + 9

  • math -

    g'(x) = -2x + 2
    This is zero when x = 1.
    The second derivative, -2, is negative there, so g(1) is a maximum. The value there is 10.

    There is no absolute minimum. The function is an upside-down parabola that goes to minus infinity at large and small x.

  • math -

    In google type:
    functions graphs online

    When you see list of results click on:

    When page be open in blue recatacangle type:

    -x^2 + 2 x + 9

    In Display properties set:

    Range y-axis from -7 to 13

    Then click option Draw

    You will see graph of your function.

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