$\"\"$

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The function $\"\"$ .

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

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Observe the graph:

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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(b). Find the largest open interval on which $\"\"$ is increasing and decreasing.

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Observe the graph:

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The function $\"\"$ is positive on the interval $\"\"$ and the function $\"\"$ is negative on the interval $\"\"$ .

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The largest open interval on which $\"\"$ is increasing on $\"\"$ .

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The largest open interval on which $\"\"$ is decreasing on $\"\"$ .

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$\"\"$

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(c). Identify any extrema of $\"\"$ .

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Since the function $\"\"$ is changes from positive to negative at $\"\"$ , then $\"\"$ has relative maximum at $\"\"$ .

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$\"\"$

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(d). Graph of $\"\"$ .

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1). Draw a coordinate plane.

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2). Plot the points $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$ .

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$\"\"$

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

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(b). The largest open interval on which $\"\"$ is increasing on $\"\"$ .

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The largest open interval on which $\"\"$ is decreasing on $\"\"$ .

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(c). A maximum occurs at $\"\"$ .

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(d). Graph of $\"\"$ :

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$\"\"$ .