AIII.F.23

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Khan Academy Resources
Absolute value graphs reviewGraphs of polynomials: Challenge problemsZeros of polynomials & their graphsGraphs of polynomialsEnd behavior of polynomialsRadical functions & their graphsPositive & negative intervals of polynomialsEnd behavior of rational functionsGraphs of rational functionsRational functions: zeros, asymptotes, and undefined pointsIncreasing and decreasing intervalsGraphs of square and cube root functionsEnd behavior of polynomialsGraphing exponential growth & decayGraph absolute value functionsGraphs of exponential growthPositive & negative intervals of polynomialsPiecewise functions graphsInterpret time in exponential modelsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationInterpret change in exponential modelsZeros of polynomials (factored form)Evaluate piecewise functionsIntro to exponential functionsExponential function graphGraphing rational functions according to asymptotesGraphs of rational functions: horizontal asymptoteGraphing exponential growth & decayGraphing absolute value functionsInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsEnd behavior of rational functionsGraphs of exponential growthWorked example: graphing piecewise functionsGraphs of rational functions: zerosInterpreting time in exponential modelsWorked example: evaluating piecewise functionsInterpreting change in exponential models: with manipulationIntroduction to piecewise functionsGraphing square and cube root functionsWorked example: domain & range of piecewise linear functionsIntro to end behavior of polynomialsGraphs of rational functions: y-interceptDiscontinuities of rational functionsGraphs of rational functions: vertical asymptotesWorked example: domain & range of step function
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