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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 $$f(x) = -x^2 + 4x + 5$$ on the interval $$[0, 5]$$?

A

Absolute maximum: $$9$$ at $$x=2$$; Absolute minimum: $$5$$ at $$x=0$$.

B

Absolute maximum: $$5$$ at $$x=0$$; Absolute minimum: $$0$$ at $$x=5$$.

C

Absolute maximum: $$0$$ at $$x=5$$; Absolute minimum: $$9$$ at $$x=2$$.

D

Absolute maximum: $$9$$ at $$x=2$$; Absolute minimum: $$0$$ at $$x=5$$.

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