M.A18.29
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.
Example Problems
This table gives select values of the differentiable function g.
What is the best estimate for based on this table?
| x | 3 | 5 | 7 | 9 |
|---|---|---|---|---|
| g(x) | –4 | 2 | 14 | 30 |
What is the best estimate for based on this table?
This table gives select values of the differentiable function h.
What is the best estimate for based on this table?
| x | –1 | 1 | 3 | 5 |
|---|---|---|---|---|
| h(x) | –2 | 2 | 10 | 22 |
What is the best estimate for based on this table?
This table gives select values of the differentiable function f.
What is the best estimate for based on this table?
| x | 4 | 6 | 8 | 10 |
|---|---|---|---|---|
| f(x) | 16 | 32 | 50 | 70 |
What is the best estimate for based on this table?
Khan Academy ResourcesIntro to slopeSlope formulaSlope reviewSlope-intercept form reviewSlope-intercept introSlope from two pointsSlope-intercept from two pointsSlope from graphSlope-intercept equation from graphSlope from equationWorked example: slope from graphConverting to slope-intercept formSlope of a line: negative slopeWorked example: slope from two pointsSlope of a horizontal lineSlope & direction of a linePositive & negative slopeSlope from equationWorked examples: slope-intercept introIntro to slope

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