AI.F-IF.B.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior.
Example Problems
What is the y-intercept of the following function?
Does the function model exponential growth or decay?
Does the function model exponential growth or decay?
Khan Academy ResourcesSymmetry of algebraic modelsQuadratic word problems (standard form)Periodicity of algebraic modelsGraph interpretation word problemsComparing linear functions word problemsInterpret parabolas in contextEnd behavior of algebraic modelsInterpret a quadratic graphLinear models word problemsLinear equations word problems: graphsQuadratic 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 problemsComparing linear functions word problem: workPeriodicity of algebraic modelsEnd behavior of algebraic modelsSymmetry of algebraic modelsComparing linear functions word problem: climbQuadratic word problems (vertex form)Linear equations word problems: volcanoAnalyzing tables of exponential functionsLinear graphs word problem: catsQuadratic word problems (factored form)Graph interpretation word problem: temperatureAnalyzing graphs of exponential functionsComparing linear functions word problem: walkAnalyzing graphs of exponential functions: negative initial valueGraph interpretation word problem: basketballInterpret a quadratic graph

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