IF.4.AIII.2

Analyze and interpret polynomial functions numerically, graphically, and algebraically, identifying key characteristics such as intercepts, end behavior, domain and range, relative and absolute maximum and minimum, as well as intervals over which the function increases and decreases

Khan Academy Resources

Intro to rational expressionsGraphs of polynomials: Challenge problemsZeros of polynomials & their graphsGraphs of polynomialsEnd behavior of polynomialsPositive & negative intervals of polynomialsDomain and range from graphIncreasing and decreasing intervalsEnd behavior of polynomialsInterpret quadratic modelsComparing linear functions word problemsPositive & negative intervals of polynomialsLinear models word problemsFunction domain word problemsInterpret time in exponential modelsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationExponential vs. linear growth over timeInterpret change in exponential modelsZeros of polynomials (factored form)Interpret exponential expressions word problemsModeling with linear equations: snowInterpret quadratic models: Factored formInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsWorked example: determining domain word problem (real numbers)Comparing linear functions word problem: climbInterpreting time in exponential modelsInterpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsWorked example: domain & range of piecewise linear functionsInterpret quadratic models: Vertex formIntro to end behavior of polynomialsWorked example: domain & range of step function

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