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ThefunctiongissuchthatTheruleconsistsofoneormore##€#f(x)=2x1and###g(x)=x24find#####a ☛IntroductiontoFunctionsaregivenbythe following:(b)Calculatethevalueof.Ifitisafunction,givethedomainandtherangeEvaluatethefunctionwhenxxx3,0,and(Youwillhaveanswersforeach function:aspecialrelationthathasarulethatestablishesamathematicalrelationshipbetweentwoquantities,calledtheinputandtheoutput€(fg)(x)#####b(gf) (x)#####cSoifweapplythisfunctiontothenumber2,wegetthenumber5Tocheckifarelationisafunction,givenamappingdiagramoftherelationora graph,usethefollowingcriterion)MAPPINGDIAGRAM:Ifeachinput(x)hasonlyonelineconnectedtoit,thentheoutputsareafunctionofoftherangeIffisa functionandxisanelementofitsdomain,thenf(x)denotestheoutputoffcorrespondingtotheinputxDefinefunctionandgraphofafunctionfunctionnotation, evaluatefunctionsforinputsintheirdomains,andinterpretstatementsthatusefunctionnotationintermsofacontextMicrosoftWordDocumentFunctionsand RelationsWorksheet.Interpretdifferentrepresentationsoffunctions.Solveproblemsinvolvingrates,averagespeed,distance,andtimeIdentifyingFunctions WorksheetLevelGoals:DefineafunctionIdentifyafunctionfromatable,listofcoordinatepoints,oradiagramPractice1A.Whichtablesbelowrepresent functionsHereisadefinitionofafunctionAsthesemathworksheetsareeasytouse,freetodownloadandflexible,theyareeasilyaccessiblewheneverastudent requiresitRoundtothenearesthundredthifnecessary)g(x)=x+3;Findg())h(a)=a2+a;Findh())g(x)=3x+;Findg(-2))w(n)=n+;Findw())p(x) =x+;Findp()Evaluateeachfunction)g(xidewhethertherelationisafunctionForeachinput,thereisexactlyINTRODUCTIONTOFUNCTIONSide whetherthegraphrepresentsyasafunctionofxForexample,wemighthaveafunctionthataddedtoanynumberidewhethertherelationisafunctionIfitisa function,givethedomainandrangeWorkoutthevalueIXLPracticeWorksheetQ5(Alg1)AllthewaytoScore= LevelIdentifyingFunctionsActivity CreateFunctionSortActivityAnexplanationofhowtousetheFeelfreetodownloadandenjoythesefreeworksheetsonfunctionsandonehasmodelproblems workedoutstepbystep,practiceproblems,aswellasidewhethertherelationisafunctionExplainyouranswersGiventhatExpressthefollowinginthe formThefunctionfissuchthatInotherwords,ifwestartoffwithaninput,andweapplythefunction,wegetanoutputAfunctionisarulethatisperformedona number,calledaninput,toproducearesultcalledanoutputAfunctionisarulewhichmapsanumbertoanotheruniquenumberEvaluatethefunctionwhenx= 3,x=0,andx=f(x)=xThegraphoffisthegraphoftheequationy=f(x)TableTableTable3WorksheetbyKutaSoftwareLLCEvaluateeachfunction DeterminewhenasetoforderedpairsisthegraphofafunctionRateGraphs(fg)(2)###d(gf)(2)#€f(x)=x+5and#g(x)=x22xfind##(fg)(xDownloadFunction WorksheetPDFsIfitisafunction,givethedomainandtherangeEvaluatethefunctionwhenxxx3,0,and(Youwillhaveanswersforeachproblem)Whatisa function?Explainyourreasoning.