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The function is $\"\"$ , $\"\"$ , where $\"\"$ is the number of years since $\"\"$ .

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The $\"\"$ values in the graph corresponding years.

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$\"\"$

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(a) Graph the equation.

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

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$\"\"$

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

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$\"\"$

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Observe the graph:

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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 from $\"\"$ to $\"\"$ was about $\"\"$ .

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This value represents the average change in net personal income in the U.S. from $\"\"$ to $\"\"$ .

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(c) Find the period was the average rate of change highest:

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The highest average rate of change will occur at the steepest point of the graph.

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Locate the steepest points on the graph.

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$\"\"$

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

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$\"\"$

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$\"\"$

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This value represents the average change in net personal income in the U.S. from $\"\"$ to $\"\"$ .

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Average rate of change from $\"\"$ to $\"\"$ was about $\"\"$ .

\

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Find the period was the average rate of change lowest:

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the lowest average rate of change will occur at the flattest point of the graph.

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Locate the steepest points on the graph.

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$\"\"$

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

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$\"\"$

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$\"\"$

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This value represents the average change in net personal income in the U.S. from $\"\"$ to $\"\"$ .

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Average rate of change from $\"\"$ to $\"\"$ was about $\"\"$ .

\

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(a) Graph of the equation.

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

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$\"\"$

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(b) Average rate of change from $\"\"$ to $\"\"$ was about $\"\"$ .

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This value represents the average change in net personal income in the U.S. from $\"\"$ to $\"\"$ .

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(c) The rate of change was highest from $\"\"$ to $\"\"$ at about $\"\"$ and lowest from $\"\"$ to $\"\"$ at about $\"\"$ .