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Let $\"\"$ .

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Graph of $\"\"$ is given.

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(a) Determine $\"\"$ for $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$ .

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Property of definite integral: $\"\"$ .

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Therefore, $\"\"$ .

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$\"\"$

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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Geometrically area under the graph is sum of the areas above

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the $\"\"$ axis and sum of areas below the $\"\"$ axis.

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Definite integral property: $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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(b)

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Determine $\"\"$ .

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Estimate $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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(c)

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At $\"\"$ , $\"\"$ .

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The function $\"\"$ has the maximum value at $\"\"$ .

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At $\"\"$ , $\"\"$ .

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The function $\"\"$ has the minimum value at $\"\"$ .

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(d)

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Rough graph of the function $\"\"$ :

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Plot the points for $\"\"$ and $\"\"$ .

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$\"\"$

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(a) $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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(b) $\"\"$ .

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(c)

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The function $\"\"$ has the maximum value at $\"\"$ .

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The function $\"\"$ has the minimum value at $\"\"$ .

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(d)

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$\"\"$