M1.F.LE.A.1.a
Know that linear functions grow by equal differences over equal intervals and that 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 ResourcesIntro to arithmetic sequencesIntro to arithmetic sequence formulasGeometric sequences reviewUse arithmetic sequence formulasExtend geometric sequencesUse geometric sequence formulasExtend arithmetic sequencesRewrite exponential expressionsRecursive formulas for geometric sequencesExtend geometric sequences: negatives & fractionsInterpret time in exponential modelsEquivalent forms of exponential expressionsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationInterpret change in exponential modelsIntro to arithmetic sequencesIntro to geometric sequencesArithmetic sequence problemSequences and domainUsing recursive formulas of geometric sequencesWorked example: using recursive formula for arithmetic sequenceInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsExtending geometric sequencesUsing arithmetic sequences formulasUsing explicit formulas of geometric sequencesInterpreting time in exponential modelsInterpreting change in exponential models: with manipulationRewriting exponential expressions as A⋅BᵗEquivalent forms of exponential expressionsExtending arithmetic sequences

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