Example 3
Find the average rate of change of the function over the restricted intervals [–2, –1] and [–1, 1]. Determine if the rate of change over both intervals is positive, negative, 0, undefined, and/or constant. Use the graph of to explain how the average rate of change relates to the behavior of the graph across its whole domain.
- Calculate the average rate of change of over the interval [–2, –1].
- Calculate the average rate of change of over the interval [–1, 1].
- Determine if the rate of change over both intervals is positive, negative, 0, undefined, and/or constant.
- Graph .
- Describe what happens to the function values over the restricted domains [–2, –1] and [–1, 1].