NC.M1.F-IF.7

Analyze linear, exponential, and quadratic functions by generating different representations, by hand in simple cases and using technology for more complicated cases, to show key features, including: domain and range; rate of change; intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; and end behavior.

Khan Academy Resources

Average rate of change reviewSymmetry of algebraic modelsDomain and range from graphUsing slope and intercepts in contextHorizontal & vertical linesAverage rate of change word problemsLinear equations word problemsPeriodicity of algebraic modelsInterpret quadratic modelsFunction notation word problemsComparing linear functions word problemsEnd behavior of algebraic modelsLinear models word problemsIdentifying values in the domainFunction domain word problemsInterpret time in exponential modelsAverage rate of change: graphs & tablesInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationExponential vs. linear growth over timeInterpret change in exponential modelsInterpret exponential expressions word problemsDetermine the domain of functionsExamples finding the domain of functionsWorked example: domain and range from graphPeriodicity of algebraic modelsInterpret quadratic models: Factored formWhat is the range of a function?Interpreting change in exponential modelsInterpreting change in exponential models: changing unitsWorked example: determining domain word problem (real numbers)Introduction to average rate of changeSlope, x-intercept, y-intercept meaning in contextWorked example: average rate of change from graphEnd behavior of algebraic modelsSymmetry of algebraic modelsComparing linear functions word problem: climbInterpreting time in exponential modelsWorked example: average rate of change from tableDetermining whether values are in domain of functionAverage rate of change word problem: graphInterpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsWorked example: determining domain word problem (positive integers)Slope and intercept meaning in contextWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsWorked example: domain & range of piecewise linear functionsInterpret quadratic models: Vertex formWhat is the domain of a function?Slope and intercept meaning from a tableHorizontal & vertical linesWorked example: determining domain word problem (all integers)Average rate of change word problem: table

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