To give: a real-world example of a situation that can be modeled by a function that is decreasing, but for which the magnitude of the average rate of change is getting less and less.
At the start, the ball losses more height on each successive bounce so the rate of change is high. Then after a certain threshold number of bounces, the ball barely loses any height before it stops thus, the rate of change is lesser than the rate of change it started with.
Calculation:
Suppose a ball is dropped from a certain height.
Calculate the bounce height on each successive bounce of the ball.
Each time the ball bounces, the bounce height is less than the previous bounce height. Thus, it is increasing function.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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