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; end behavior; and periodicity.

Example Problems
Find .
Find .
Khan Academy Resources
Symmetry of algebraic modelsUsing slope and intercepts in contextQuadratic word problems (standard form)Linear equations word problems: tablesPeriodicity of algebraic modelsGraph interpretation word problemsComparing linear functions word problemsInterpret parabolas in contextEnd behavior of algebraic modelsInterpret a quadratic graphLinear models word problemsRelating linear contexts to graph featuresLinear 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 modelsLinear models word problem: bookSlope, x-intercept, y-intercept meaning in contextEnd 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 models word problem: marblesLinear graphs word problem: catsQuadratic word problems (factored form)Slope and intercept meaning in contextGraph interpretation word problem: temperatureQuadratic word problem: mosquitoesSlope and intercept meaning from a tableAnalyzing graphs of exponential functionsFinding slope and intercepts from tablesComparing linear functions word problem: walkAnalyzing graphs of exponential functions: negative initial valueGraph interpretation word problem: basketballInterpret a quadratic graph
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