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WelcomeAcceleratedAlgebra2!Tear-Out: Pg.435-440(Classnotes)
U6H5:Worksheet–GraphingRationalFunctionsUpdates:U6TwillbeMarch8th ProjectDue:March8th(acceptedearlier)
(1) Warm-Up(2) ReviewU6H4(3) GraphingRationalEquations(4) Closure(5) ReviewNon-CalcU5T(6) ReturnU6Q1
Agenda
Simplifyandidentifytherestrictions.
Warm-Up!
Worksheet
ReviewU6H4
IwillleaveonepageblankforSBnotes.
Today’sLesson#:28-2Topic:TransformationsoftheParentRationalFunctionLO#7:Graphrationalfunctions.
GraphingRationalFunctions
Pg.435 Do#1usingthefollowingx-values:(2mins)
-3,-2,-1,-0.5,0,0.5,1,2,3
GraphingRationalFunctions
Pg.435 Answer#2independently.(2mins)
Ø Red,tellyourgroupwhyyoucannotcrossthey-axis.Tablemates,listentoRedandcorrectthemwhenneeded.
Ø Blue,tellyourgroupwhyyoucannotcrossthex-axis.Tablemates,listentoBlueandcorrectthemwhenneeded.
GraphingRationalFunctions
Pg.435 Discuss#3withyourhorizontalpartner,thenwritedownthesolutions.(2mins)
KeyFeaturestolist:
Asymptotes,domain,range,intervalsofincreaseanddecrease,andendbehavior.
GraphingRationalFunctions
ParentRationalFunction
o Afunctionwhoserulecanbewrittenasaratiooftwopolynomials.
o Theparentrationalfunctionisf(x)=1/x.
o VA:x=0andHA:y=0
GraphingRationalFunctions
Writeyourpredictionofwhattypeoftransformation(s)arebeingperformedontheparentonyourwhiteboard.
Whiteboards!
Whiteboards!
TransformationsofRationalFunctions
GraphingRationalFunctions
If0<a<1VerticalCompression
Ifa>1VerticalStretch
+kMoveUp
-kMoveDown+hMoveLeft
-hMoveRight
Pg.438 Wewilldiscusshowtograph#15casaclass.
Mysuggestion:
*Identifythetransformations.
*Graphtheasymptotes andlistthem.
*Plot3pointsforeachcurve.
GraphingRationalFunctions
Pg.438 Do#15b,d.
Mysuggestion:
*Identifythetransformations.
*Graphtheasymptotes andlistthem.
*Plot3pointsforeach curve.
GraphingRationalFunctions
Pg.438 For#15aidentifythefollowingonyourwhiteboards!
Domain
VerticalAsymptote
Interval(s)ofdecrease
Endbehavior
Range
HorizontalAsymptote
Interval(s)ofIncrease
GraphingRationalFunctions
DiscusswithyourVerticalPartner:
Overall,ahorizontaltranslationwillmovewhichasymptote?Averticaltranslationwillmovewhichasymptote?
GraphingRationalFunctions
Pg.436 Wewilldo#4asaclass.
Mysuggestion: *Identifythetransformations.
*Graphtheasymptotes andlistthem.
*Plot3pointsforeachcurve.
GraphingRationalFunctions
Pg.436 Do#7.(2mins)
Mysuggestion: *Identifythetransformations.
*Graphtheasymptotes andlistthem.
*Plot3pointsforeachcurve.
GraphingRationalFunctions
Pg.436 IntheMyNotesColumngraphthefollowing:
Mysuggestion: *Identifythetransformations.
*Graphtheasymptotes andlistthem.
*Plot3pointsforeachcurve.
GraphingRationalFunctions
Pg.439 Withoutgraphing!IdentifytheVerticalandHorizontalAsymptotesaswellasthedomainandrange.Doindependently.(2mins)
GraphingRationalFunctions
Createarationalequationthatcanbetransformed.Ø Findanotherpersonintheroomwiththesamedotcolorandseeiftheycanidentifythetransformations.
Closure
ReviewNon-CalcU5T
