$\"\"$

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(a)

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The function $\"\"$ .

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Differentiate with respect to $\"\"$ on each side.

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$\"\"$

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Find the critical numbers of $\"\"$ .

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Equate $\"\"$ .

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$\"\"$

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Critical number is $\"\"$

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$\"\"$

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Find the value of $\"\"$ at the critical number $\"\"$ .

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$\"\"$

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Absolute extrema is $\"\"$ .

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Find the values of $\"\"$ at the end points of the interval $\"\"$ .

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$\"\"$

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Substitute the end points of the interval.

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$\"\"$

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$\"\"$

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Absolute extrema are $\"\"$ and $\"\"$ .

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Compare the three values of $\"\"$ to find absolute extreme of the function.

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Absolute maximum is $\"\"$ .

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Absolute minimum are $\"\"$ and $\"\"$ .

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$\"\"$

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(b)

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The function $\"\"$ and the interval is $\"\"$ .

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Find the values of $\"\"$ at the end points of the interval $\"\"$ .

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$\"\"$

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$\"\"$ is not included in the interval.

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$\"\"$

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Absolute minimum is $\"\"$ .

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$\"\"$

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(c)

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The function $\"\"$ and the interval is $\"\"$ .

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The interval includes the critical number $\"\"$ .

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So the absolute maximum value is $\"\"$ .

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$\"\"$ .

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$\"\"$ and $\"\"$ are not included in the interval.

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Absolute maximum is $\"\"$ .

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$\"\"$

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(d)

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The function $\"\"$ and the interval is $\"\"$ .

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The interval does not includes the critical number $\"\"$ .

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Find the values of $\"\"$ at the end points of the interval $\"\"$ .

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$\"\"$

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$\"\"$ is not included in the interval.

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$\"\"$

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Absolute maximum is $\"\"$ .

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$\"\"$

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(a) Absolute maximum is $\"\"$ .

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Absolute minimum are $\"\"$ and $\"\"$ .

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(b) Absolute minimum is $\"\"$ .

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(c) Absolute maximum is $\"\"$ .

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(d) Absolute maximum is $\"\"$ .