NC.M3.F-BF.1a
Build polynomial and exponential functions with real solution(s) given a graph, a description of a relationship, or ordered pairs (include reading these from a table).
Example Problems
The exponential function p, represented in the table, can be written as .
Complete the equation for .
| x | p(x) |
|---|---|
| 0 | 2 |
| 1 | 1 |
Complete the equation for .
The exponential function y, represented in the table, can be written as .
Complete the equation for .
| x | y(x) |
|---|---|
| 0 | 4 |
| 1 | 6 |
Complete the equation for .
The exponential function s, represented in the table, can be written as .
Complete the equation for .
| x | s(x) |
|---|---|
| 0 | 20 |
| 1 | 5 |
Complete the equation for .
Khan Academy ResourcesLogarithm change of base rule introSolving exponential equations using logarithmsExponential model word problemsSolve exponential equations using logarithms: base-2 and other basesSolve exponential equations using logarithms: base-10 and base-eEvaluate logarithms: change of base ruleConstruct exponential modelsModeling with sinusoidal functionsEvaluating logarithms: change of base ruleConstructing exponential models: percent changeTrig word problem: modeling annual temperatureConstructing exponential models: half lifeSolving exponential equations using logarithms: base-10Exponential model word problem: bacteria growthExponential model word problem: medication dissolveSolving exponential equations using logarithms: base-2Constructing exponential modelsTrig word problem: modeling daily temperature

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