AFA.FGR.3.6
Create, apply, and interpret exponential functions of the form y = ab^x and classify them as exponential decay (when 0 < b < 1) or as exponential growth (when b > 1).
Example Problems
Does the function model exponential growth or decay?
Does the function model exponential growth or decay?
Does the function model exponential growth or decay?
Khan Academy ResourcesLogarithm change of base rule introSolving exponential equations using logarithmsWarmup: exponential vs. linear growthExponential model word problemsRewrite exponential expressionsExponential growth vs. decayGraphing exponential growth & decayInterpret quadratic modelsSolve exponential equations using logarithms: base-2 and other basesSolve exponential equations using logarithms: base-10 and base-eComparing linear functions word problemsGraphs of exponential growthLinear models word problemsExponential vs. linear modelsSequences word problemsInterpret time in exponential modelsExponential expressions word problems (numerical)Equivalent forms of exponential expressionsInterpret change in exponential models: changing unitsEvaluate logarithms: change of base ruleInterpret change in exponential models: with manipulationExponential vs. linear growth over timeInterpret change in exponential modelsLinear vs. exponential growth: from dataInterpret exponential expressions word problemsIntro to exponential functionsEvaluating logarithms: change of base ruleGraphing exponential growth & decaySolving exponential equations using logarithms: base-10Interpret quadratic models: Factored formInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsExponential model word problem: bacteria growthGraphs of exponential growthComparing linear functions word problem: climbExponential model word problem: medication dissolveSequences word problemsInterpreting time in exponential modelsLinear vs. exponential growth: from dataExponential expressions word problems (numerical)Interpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsExponential decay introExponential vs. linear models: verbalWorked examples: Forms & features of quadratic functionsSolving exponential equations using logarithms: base-2Comparing features of quadratic functionsWorked example: domain & range of piecewise linear functionsInterpret quadratic models: Vertex formRewriting exponential expressions as A⋅BᵗEquivalent forms of exponential expressionsModeling with basic exponential functions word problemLinear vs. exponential growth: from data (example 2)Exponential expressions word problems (algebraic)Graph interpretation word problem: basketball
1-on-1 AI tutoring aligned to AFA.FGR.3.6. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →