NC.M2.F-IF.7
Analyze quadratic, square root, and inverse variation 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; intercepts; intervals where the function is increasing, decreasing, positive, or negative; rate of change; maximums and minimums; symmetries; and end behavior.
Example Problems
Find the limit:
Find the limit:
Find the limit:
Khan Academy ResourcesAverage rate of change reviewIntro to rational expressionsSymmetry of algebraic modelsRadical functions & their graphsDomain and range from graphEnd behavior of rational functionsGraphs of rational functionsRational functions: zeros, asymptotes, and undefined pointsQuadratic word problems (standard form)Graphs of square and cube root functionsAverage rate of change word problemsPeriodicity of algebraic modelsGraph interpretation word problemsComparing linear functions word problemsInterpret parabolas in contextEnd behavior of algebraic modelsInterpret a quadratic graphLinear models word problemsFunction domain word problemsLinear equations word problems: graphsAverage rate of change: graphs & tablesQuadratic word problems (vertex form)Quadratic word problems (factored form)Connecting exponential graphs with contextsQuadratic word problem: ballModeling with linear equations: snowLinear equations word problems: earningsLinear graphs word problemsGraphing rational functions according to asymptotesGraphs of rational functions: horizontal asymptoteComparing linear functions word problem: workPeriodicity of algebraic modelsWorked example: determining domain word problem (real numbers)Introduction to average rate of changeEnd behavior of rational functionsWorked example: average rate of change from graphEnd behavior of algebraic modelsSymmetry of algebraic modelsComparing linear functions word problem: climbQuadratic word problems (vertex form)Graphs of rational functions: zerosWorked example: average rate of change from tableLinear equations word problems: volcanoAnalyzing tables of exponential functionsAverage rate of change word problem: graphGraphing square and cube root functionsLinear graphs word problem: catsQuadratic word problems (factored form)Graph interpretation word problem: temperatureWorked example: domain & range of piecewise linear functionsGraphs of rational functions: y-interceptDiscontinuities of rational functionsGraphs of rational functions: vertical asymptotesWorked example: domain & range of step functionAnalyzing graphs of exponential functionsComparing linear functions word problem: walkAnalyzing graphs of exponential functions: negative initial valueGraph interpretation word problem: basketballAverage rate of change word problem: tableInterpret a quadratic graph

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