Compare and contrast the key characteristics of linear functions (𝑓(𝑥) = 𝑥), quadratic functions (𝑓(𝑥) = 𝑥²), and exponential functions (𝑓(𝑥) = 𝑏ˣ) using tables and graphs.
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 ResourcesWarmup: exponential vs. linear growthExponential vs. linear growthExponential vs. linear modelsCompare quadratic functionsLinear vs. exponential growth: from dataExponential vs. linear models: tableLinear vs. exponential growth: from dataExponential vs. linear models: verbalExponential vs. linear growthLinear vs. exponential growth: from data (example 2)
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