FAC.F.21
Describe the following characteristics of linear and quadratic parent functions by inspection: domain/range, increasing/decreasing intervals, intercepts, symmetry, and asymptotic behavior. Identify each characteristic in set notation or words, where appropriate. (Algebra III, standard 8)
Example Problems
Determine the vertex of the parabola represented by:
What is the y-intercept of the following function?
Determine the vertex of the parabola represented by:
Khan Academy ResourcesSymmetry of algebraic modelsPeriodicity of algebraic modelsEvaluate sequences in recursive formEnd behavior of algebraic modelsFunction domain word problemsInterpret time in exponential modelsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationInterpret change in exponential modelsExamples finding the domain of functionsPeriodicity of algebraic modelsInterpreting change in exponential modelsInterpreting change in exponential models: changing unitsEnd behavior of algebraic modelsSymmetry of algebraic modelsInterpreting time in exponential modelsDetermining whether values are in domain of functionInterpreting change in exponential models: with manipulationWorked example: determining domain word problem (positive integers)Intervals and interval notationWorked example: determining domain word problem (all integers)

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