Quadratic)Functions) 1.6)
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1 Name: Ready,Set,Go Quadratic)Functions) 1.6) Ready Topic:Recognizingfunctions Identifywhichofthefollowingrepresentationsarefunctions.IfitisNOTafunctionstate howyouwouldfixitsoitwas. 1.D={(4,41)(3,46)(2,41)(1,2)(0,4)(2,5)} 2.Thenumberofcaloriesyouhaveburned Set sincemidnightatanytimeduringtheday. 4. x f(x) Topic:Comparingratesofchangeinlinear,quadratic,andexponentialfunctions Figure 1 Thegraphattherightshowsatimevs.distancegraphoftwocarstravelingin thesamedirectionalongthefreeway. 7.Whichcarhasthecruisecontrolon?Howdoyouknow? A 8.Whichcarisaccelerating?Howdoyouknow? B Identifytheintervalinfigure1wherecarAseemstobegoingfasterthancarB. 10.Identifytheintervalinfigure1wherecarBseemstobegoingfasterthancarA. Figure 2 11.Whatinthegraphindicatesthespeedofthecars? 12.AthirdcarCisnowshowninthegraph(seefigure2).All3cars havethesamedestination.ifthedestinationisadistanceof12unitsfrom A theorigin,whichcardoyoupredictwillarrivefirst?justifyyouranswer. B C MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
2 Go Quadratic)Functions) 1.6) Topic:Identifyingdomainandrangefromagraph. Statethedomainandrangeofeachgraph.Useintervalnotationwhereappropriate. 13a.Domain b.range 14a.Domain b.range 15a.Domain b.range 16a.Domain b.range 19a.Domain b.range a.Domain b.range 20a.Domain b.range a.Domain b.range Arethedomainsof#19and#20thesame?Explain. 2013MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
3 Name: Ready,Set,Go Ready Topic:transforminglines 2013www.flickr.com/photos/orqwith 1.Graphthefollowinglinearequationsonthegrid.Theequationy=xhasbeengraphedforyou. Foreachnewequationexplainwhatthenumber3doestothegraphofy=x.Payattentiontothe y4intercept,thex4intercept,andtheslope.identifywhatchangesinthegraphandwhatstaysthe same. a. y=x+3 b. y=x 3 c. y=3x 2.Thegraphofy=xisgiven.(Seefigure2.)Foreachequationpredictwhatyouthinkthenumber 42willdotothegraph.Thengraphtheequation. a. y=x+(42) Prediction: b. y=x (42) Prediction: c. y=42x Prediction: 2013MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
4 Set Topic:Distinguishingbetweenlinear,exponential,andquadraticfunctions Foreachrelationgiven: a. Identifywhetherornottherelationisafunction.(Ifit snotafunction,skipb d.) b. DetermineifthefunctionisLinear,Exponential,QuadraticorNeither. c. Describethetypeofgrowth. d. Expresstherelationintheindicatedform. 3.Ihad81frecklesonmynosebeforeIbeganusingvanishing cream.afterthefirstweekihad27,thenextweek9,then3... a.function? b.linear,exponential,quadraticorneither c.howdoesitgrow? d.makeagraph.labelyouraxesandthescaleshowall4points. 4. x y a.function? b.linear,exponential,quadraticorneither c.howdoesitgrow? d.writetheexplicitequation. 5. a.function? b.linear,exponential,quadraticorneither c.howdoesitgrow? d.createatable 6.Speedinmphofabaseballvs.distanceinft. a. Function? b. Linear,Exponential,QuadraticorNeither c. Howdoesitgrow? d. Predictthedistancethebaseballfliesifitleavesthebatataspeedof115mph. 2013MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
5 Go Matchthefunctionontheleftwiththeequivalentfunctionontheright. 7. f x ( ) = 2x + 5 a. f ( x) = 5( 2) x 8. 9.Iput$7000inasavingsaccountthatpays3% interestcompoundedannually.iplantoleaveitinthe bankfor20years.theamountiwillhavethen. 10.Theareaofthetrianglesbelow. 11. f f 0 b. c. f (1) = 2; f (n +1) = f (n) + 2n d. ( ) = 5; f ( n) = 2 f ( n 1) e.y+x=0 ( ) = 5; f ( n) = f ( n 1) x ¼ ½ 11.6 f(x) 7.75 ¼ 4½ f. = g.a=7000(1.03) MATHEMATICSVISIONPROJECT MV P InpartnershipwiththeUtahStateOfficeofEducation LicensedundertheCreativeCommonsAttribution4NonCommercial4ShareAlike3.0Unportedlicense
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