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Horton Rodriquez
10/08/2024 · Senior High School

Determine the location and value of the absolute extreme values of \( f \) on the given interval, if they exist. \( f(x)=-x^{2}+9 \) on \( [-3,4] \) What is/are the absolute maximum/maxima of \( f \) on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum/maxima is/are 9 at \( x=0 \). There is no absolute maximum of \( f \) on the given interval. (Use a comma to separate answers as needed.) What is/are the absolute minimum/minima of \( f \) on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum/minima is/are \( \square \) at \( x=\square \). (Use a comma to separate answers as needed.) B. There is no absolute minimum of \( f \) on the given interval.

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The absolute maximum is 9 at \( x = 0 \). The absolute minimum is -7 at \( x = 4 \).

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