HS.A.1.e: Define, interpret, and analyze linear, quadratic, absolute value, and exponential functions using the points of interest of the functions and graphing technology.

Define, interpret, and analyze linear, quadratic, absolute value, and exponential functions using the points of interest of the functions and graphing technology.

Example Problems
Graph:
Graph:
Graph:
Khan Academy Resources
Standard form reviewAbsolute value graphs reviewGraphing quadratics reviewWarmup: exponential vs. linear growthGraph quadratics in vertex formGraph quadratics in standard formExponential functions from tables & graphsScale & reflect absolute value graphsExponential growth vs. decayWriting functions with exponential decayQuadratic word problems (standard form)Graphs of exponential functionsGraphing exponential growth & decayInterpret quadratic modelsGraph absolute value functionsInterpret parabolas in contextInterpret a quadratic graphExponential vs. linear growthExponential vs. linear modelsShift absolute value graphsRelating linear contexts to graph featuresCompare quadratic functionsFeatures of quadratic functionsInterpret time in exponential modelsFeatures of quadratic functions: strategyInterpret change in exponential models: changing unitsQuadratic word problems (vertex form)Exponential expressions word problems (algebraic)Graph quadratics in factored formInterpret change in exponential models: with manipulationInterpret change in exponential modelsLinear vs. exponential growth: from dataQuadratic word problems (factored form)Interpret exponential expressions word problemsConnecting exponential graphs with contextsIntro to exponential functionsExponential function graphExponential vs. linear growth over timeGraphing exponential growth & decayInterpreting a parabola in contextInterpreting exponential expression word problemGraphing absolute value functionsInterpret quadratic models: Factored formInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsIntroduction to average rate of changeScaling & reflecting absolute value functions: graphGraphs of exponential growthZero product propertyWriting exponential functions from tablesQuadratic word problems (vertex form)Interpreting time in exponential modelsExponential vs. linear models: tableLinear vs. exponential growth: from dataAnalyzing tables of exponential functionsInterpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsExponential decay introInitial value & common ratio of exponential functionsWriting exponential functions from graphsForms & features of quadratic functionsScaling & reflecting absolute value functions: equationWriting functions with exponential decayGraphing exponential functionsWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsInterpret quadratic models: Vertex formFinding features of quadratic functionsWriting exponential functionsAnalyzing graphs of exponential functionsModeling with basic exponential functions word problemAnalyzing graphs of exponential functions: negative initial valueExponential vs. linear growthLinear vs. exponential growth: from data (example 2)Exponential expressions word problems (algebraic)Interpret a quadratic graph
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