1.7ModelingwithFunctions
AMPPre-Calculus/Hicks
Whatyou’lllearnabout:
1. GraphandIdentifyall12parentfunctions
2. Graphapiecewisefunction
3. Analyzingafunctiongraphically
ParentFunction#1:IdentityFunction
Equation:_____________________________________________
Graphthisfunction(label5points)
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
ParentFunction#2:QuadraticFunction
Graphthisfunction(label5points)
Equation:_____________________________________________
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
1.7ModelingwithFunctions
AMPPre-Calculus/Hicks
ParentFunction#3:CubicFunction
Graphthisfunction(label3points)
Equation:_____________________________________________
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
ParentFunction#4:InverseLinear(Reciprocal)FunctionEquation:__________________________________________
Graphthisfunction(label2points,aH.A.,andV.A.)
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
1.7ModelingwithFunctions
AMPPre-Calculus/Hicks
ParentFunction#5:SquareRootFunction Graphthisfunction(label3points)
Equation:_____________________________________________
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
ParentFunction#6:ExponentialFunction Wewillusetheequation𝑓 𝑥 = 𝑏 ! ,
where𝑏 > 1represents__________________________,and0 < 𝑏 < 1represents____________________.
Graphthisfunction(label2pointsandaH.A.)
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
1.7ModelingwithFunctions
AMPPre-Calculus/Hicks
ParentFunction#7:LogarithmFunction
Wewilluse𝑓 𝑥 = log ! 𝑥
Graphthisfunction(label2pointsandaV.A.)
ParentFunction#8:AbsoluteValueFunction
Graphthisfunction(label5points)
ParentFunction#9:GreatestIntegerFunction
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
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EndBehavior:
Equation:_____________________________________________
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
Equation:_____________________________________________
1.7ModelingwithFunctions
AMPPre-Calculus/Hicks
Graphthisfunction(labelatleast6points)
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
ParentFunction#10:LogisticFunction
Graphthisfunction(label1pointand2H.A.)
Equation:_____________________________________________
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
1.7ModelingwithFunctions
AMPPre-Calculus/Hicks
ParentFunction#11:SineFunction
Graphthisfunction
ParentFunction#12:CosineFunction
Graphthisfunction
Equation:_____________________________________________
Equation:_____________________________________________
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior:
Domain:
Range:
Symmetry:
Boundedness:
Asymptotes:
Discontinuities:
Increasing/Decreasing:
Extrema:
EndBehavior: