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(a) Scatter diagram of the data:

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$\"\"$

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Comment: The relation appears to be cubic.

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(b) The average rate of change in temperature from 9AM to 12 noon:

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Average rate of change of $\"\"$ on the interval $\"\"$ $\"\"$ .

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Average rate of change of $\"\"$ on the interval $\"\"$ $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Average rate of change: $\"\"$ .

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(c)

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The average rate of change in temperature from 3PM to 6PM :

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3PM = 15, 6PM = 18

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Average rate of change of $\"\"$ on the interval $\"\"$ $\"\"$ .

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$\"\"$

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$\"\"$ .

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Average rate of change: $\"\"$ .

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(d)

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The cubic function is $\"\"$ .

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5 PM = 17.

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$\"\"$

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$\"\"$

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The predicted temperature at 5 PM is $\"\"$ .

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(e)

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Graph the function $\"\"$ .

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$\"\"$

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(f) Plot the $\"\"$ -intercept.

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$\"\"$

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Observe the graph, the $\"\"$ -intercept is $\"\"$ .

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The $\"\"$ -intercept, $\"\"$ , is the predicted temperature at midnight.

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(a) Scatter diagram of the data:

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$\"\"$

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Comment: The relation appears to be cubic.

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(b) Average rate of change: $\"\"$ .

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(c) Average rate of change: $\"\"$ .

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(d) $\"\"$ .

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The predicted temperature at 5 PM is $\"\"$ .

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(e)

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$\"\"$

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(f) The $\"\"$ -intercept, $\"\"$ , is the predicted temperature at midnight.