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Absolute Extrema On A Closed Interval

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What are the absolute maximum and absolute minimum values of the function f(x)=−x2+4x+5f(x) = -x^2 + 4x + 5 on the interval [0,5][0, 5]?

A

Absolute maximum: 55 at x=0x=0; Absolute minimum: 00 at x=5x=5.

B

Absolute maximum: 00 at x=5x=5; Absolute minimum: 99 at x=2x=2.

C

Absolute maximum: 99 at x=2x=2; Absolute minimum: 00 at x=5x=5.

D

Absolute maximum: 99 at x=2x=2; Absolute minimum: 55 at x=0x=0.

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