2.3 linear, exponential or neither? d...
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SECONDARY MATH 1 // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.3
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
2.3 Linear, Exponential or Neither?
A Practice Understanding Task
Foreachrepresentationofafunction,decideifthefunctionislinear,exponential,orneither.Giveatleast2reasonsforyouranswer.
1.
Linear Exponential Neither Why?
2. TennisTournament
Rounds 1 2 3 4 5Number
ofPlayersleft
64 32 16 8 4
Thereare4playersremainingafter5rounds
Linear Exponential Neither Why?
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SECONDARY MATH 1 // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.3
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
3.! = 4!
Linear Exponential Neither Why?
4.Thisfunctionisdecreasingataconstantrate.
Linear Exponential NeitherWhy?
5. Linear Exponential NeitherWhy?
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SECONDARY MATH 1 // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.3
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
6.Aperson'sheightasafunctionofaperson'sage(fromage0to100)
Linear Exponential NeitherWhy?
7.−3! = 4! + 7
Linear Exponential NeitherWhy?
8.x y-2 230 52 -134 -316 -49
Linear Exponential NeitherWhy?
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SECONDARY MATH 1 // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.3
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
9.HeightinInches ShoeSize
62 674 1370 967 1153 458 7
Linear Exponential NeitherWhy?
10.ThenumberofcellphoneusersinCentervilleasafunctionofyears,ifthenumberofusersisincreasingby75%eachyear.
Linear Exponential NeitherWhy?
11. Linear Exponential NeitherWhy?
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SECONDARY MATH 1 // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.3
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
12.Thetimeittakesyoutogettoworkasafunctionthespeedatwhichyoudrive
Linear Exponential NeitherWhy?
13.! = 7!!
Linear Exponential NeitherWhy?
14.Eachpointonthegraphisexactly1/3ofthepreviouspoint.
Linear Exponential NeitherWhy?
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SECONDARY MATH 1 // MODULE 2
LINEAR & EXPONENTIAL FUNCTIONS – 2.3
Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
15.! 1 = 7, ! 2 = 7, ! ! = ! ! − 1 + !(! − 2)
Linear Exponential NeitherWhy?
16.! 1 = 1, ! ! = 2
3 !(! − 1)
Linear Exponential NeitherWhy?
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