M.A2HS.29
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Note: Emphasize the selection of a model function based on behavior of data and context.
Example Problems
Over which interval does b have an average rate of change of zero?
| u | |
|---|---|
| -5 | -6 |
| -4 | 0 |
| -3 | 3 |
| -2 | 5 |
| -1 | 6 |
| 0 | 5 |
| 1 | 2 |
| 2 | -1 |
| 3 | -3 |
| 4 | -4 |
| 5 | -7 |
Over which interval does d have an average rate of change of zero?
| -5 | 8 |
| -4 | 5 |
| -3 | 2 |
| -2 | 0 |
| -1 | -1 |
| 0 | -3 |
| 1 | -4 |
| 2 | -2 |
| 3 | 1 |
| 4 | 4 |
| 5 | 8 |
Over which interval does c have an average rate of change of zero?
| y | |
|---|---|
| -5 | 9 |
| -4 | 6 |
| -3 | 3 |
| -2 | 0 |
| -1 | -2 |
| 0 | -3 |
| 1 | -1 |
| 2 | 2 |
| 3 | 5 |
| 4 | 6 |
| 5 | 8 |
Khan Academy ResourcesAverage rate of change reviewAverage rate of change of polynomialsAverage rate of change word problemsAverage rate of change: graphs & tablesIntroduction to average rate of changeWorked example: average rate of change from graphWorked example: average rate of change from tableSign of average rate of change of polynomialsAverage rate of change word problem: graphFinding average rate of change of polynomialsAverage rate of change word problem: table
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