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The function is ,, where is the number of years since .
The values in the graph corresponding years.
(a) Graph the equation.
, .
(b) Find the average rate of change from to .
Observe the graph:
Average rate of change of on the interval .
Average rate of change from to was about .
This value represents the average change in net personal income in the U.S. from to .
(c) Find the period was the average rate of change highest:
The highest average rate of change will occur at the steepest point of the graph.
Locate the steepest points on the graph.
Average rate of change of on the interval .
This value represents the average change in net personal income in the U.S. from to .
Average rate of change from to was about .
Find the period was the average rate of change lowest:
the lowest average rate of change will occur at the flattest point of the graph.
Locate the steepest points on the graph.
Average rate of change of on the interval .
This value represents the average change in net personal income in the U.S. from to .
Average rate of change from to was about .
(a) Graph of the equation.
, .
(b) Average rate of change from to was about .
This value represents the average change in net personal income in the U.S. from to .
(c) The rate of change was highest from to at about and lowest from to at about .
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