8A.26.a
Show that linear functions grow by equal differences over equal intervals, while exponential functions grow by equal factors over equal intervals.
Example Problems
Could the table of (x, y) pairs have been generated by a linear function?
| x | y |
|---|---|
| 0 | 1 |
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
Could the table of (x, y) pairs have been generated by a linear function?
| x | y |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 4 | 6 |
| 8 | 8 |
Could the table of (x, y) pairs have been generated by a linear function?
| x | y |
|---|---|
| -1 | 4 |
| 0 | 2 |
| 1 | 0 |
| 2 | -2 |
Khan Academy ResourcesWriting slope-intercept equationsIntro to slope-intercept formGraphing slope-intercept formGraphing lines from slope-intercept form reviewSlope-intercept form reviewIntercepts from an equationSlope-intercept introSlope-intercept from two pointsGraph from slope-intercept formInterpreting graphs of functionsSlope-intercept equation from graphLinear & nonlinear functionsSlope-intercept equation from graphRecognizing linear functionsIntercepts from an equationWorked example: intercepts from an equationGraph from slope-intercept equationConverting to slope-intercept formSlope-intercept equation from slope & pointSlope-intercept equation from two pointsLinear & nonlinear functions: tableIntro to slope-intercept formInterpreting a graph exampleLinear & nonlinear functions: missing valueSlope-intercept form from a tableLinear & nonlinear functions: word problem
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