$\"\"$

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The average rate of change of $\"\"$ with respect to $\"\"$ from $\"\"$ to $\"\"$ is defined as $\"\"$ . $\"\"$

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The function is $\"\"$ .

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(a)

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Find the average rate of change of $\"\"$ from $\"\"$ to $\"\"$ .

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Here, $\"\"$ and $\"\"$ .

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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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Find an equation of a secant line containing $\"\"$ and $\"\"$ .

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The slope of secant line containing $\"\"$ and $\"\"$ is $\"\"$ .

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Point-slope form of the line equation is $\"\"$ , where $\"\"$ is slope and $\"\"$ is the point on the line.

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Substitute the point $\"\"$ and $\"\"$ in point-slope form.

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$\"\"$

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Thus, the secant line equation is $\"\"$ . $\"\"$

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(a) The average rate of change of $\"\"$ from $\"\"$ to $\"\"$ is $\"\"$ .

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(b) The secant line equation is $\"\"$ .