Prove that linear functions grow by equal differences over equal intervals; exponential functions grow by equal factors over equal intervals.
Example Problems
State whether the given table shows an exponential relationship, linear relationship or neither.
| x | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| y | 1 | 2 | 4 | 8 |
State whether the given table shows an exponential relationship, linear relationship or neither.
| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 5 | 10 | 20 | 40 |
State whether the given table shows an exponential relationship, linear relationship or neither.
| x | 7 | 9 | 11 | 13 |
|---|---|---|---|---|
| y | -1 | 2 | 5 | 8 |
Khan Academy ResourcesRewrite exponential expressionsInterpret time in exponential modelsEquivalent forms of exponential expressionsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationInterpret change in exponential modelsInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsInterpreting time in exponential modelsInterpreting change in exponential models: with manipulationRewriting exponential expressions as A⋅BᵗEquivalent forms of exponential expressions
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