Skill 1: Determining if a Relation is a Function

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Skill1:DeterminingifaRelationisaFunction
DeterminingifaRelationisaFunctionbyUsingNumbers
Relation–anysetoforderedpairs(x,y)
Function–aspecialrelationwhereeachinputhasexactlyoneoutput.
Example#1:Determineiftherelationrepresentsafunction.
Example#2:Determineiftherelationrepresentsafunction.
TIME OF DAY NUMBER OF CARS
5, 3 , 0, 0 , 5, 0
Example#3:Determineiftherelationrepresentsafunction.
1, 2 , 3,7 , 4, 6 , 8,1 DeterminingifaRelationisaFunctionbyUsingaGraph
Example#4:Determineiftherelationrepresentsafunction.
Example#5:Determineiftherelationrepresentsafunction.
Example#6:Determineiftherelationrepresentsafunction.
Example#7:Determineiftherelationrepresentsafunction.
verticallinetest–ifyoucandrawaverticallineanywherethroughthegraph
andhititinmorethanoneplace,itisNOTafunction.
Example#9:Determineiftherelationrepresentsafunction.
Example#10:Determineiftherelationrepresentsafunction.
DeterminingifaRelationisaFunctionbyReadingtheContext
Example#11:TrueorFalse?
Thenumericalgrade(output)inthiscourseisafunctionofthelettergrade(input).
Example#12:TrueorFalse?
Thelettergradeinthiscourse(output)isafunctionofyournumericalgrade(input).
Example#13:TrueorFalse?
Thesalestaxonapurchaseditemisafunctionofthefinalsellingprice.
PuttingitAllTogether
Example#14:Inthefollowingtable,elevationistheinputandamountofsnowfallistheoutput.
a)Let representtheelevationinfeetand
inches.Determine 4000 .
representtheamountofsnowfallin
b)Write 5000
12asanorderedpair.
c)Writeasentenceexplainingthemeaningof
5000
12.
Example#15:YougetajobduringWinterBreakmakingpizzasatPapaMurphy’s.
a)Isyourweeklypaycheckafunctionofhowmanyhoursyouworkperweek?Explain.
b)Identifytheinputandoutputforthissituation.
c)Ifyouearn$9perhour,completethefollowingtable.
d)Let representthenumberofhoursworkedand
meaningof 15
135.
representthegrosspay.Writeasentenceexplainingthe