AMDM.FGR.9.2
Use linear, exponential, logistic, and piecewise functions to construct a model.
Example Problems
A small farm has 120 hens. Each month, the farm acquires 5 additional hens.
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Tanya has a valuable stamp collection worth .
Each decade the collection's value increases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the collection's value?
Each decade the collection's value increases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the collection's value?
A newly discovered star has an initial brightness of 500 lumens.
Each month, the star's brightness decreases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the star's brightness?
Each month, the star's brightness decreases by .
Which kind of function (exponential, linear, or neither) best models the relationship between time and the star's brightness?
Khan Academy ResourcesRewrite exponential expressionsPiecewise functions graphsInterpret time in exponential modelsEquivalent forms of exponential expressionsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationInterpret change in exponential modelsEvaluate piecewise functionsInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsWorked example: graphing piecewise functionsInterpreting time in exponential modelsWorked example: evaluating piecewise functionsInterpreting change in exponential models: with manipulationIntroduction to piecewise functionsWorked example: domain & range of piecewise linear functionsRewriting exponential expressions as A⋅BᵗEquivalent forms of exponential expressionsWorked example: domain & range of step function

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