SECONDARY MATH I // MODULE 1

SEQUENCES – 1.3

1.3

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

READY

Topic:Interpretingfunctionnotation

A)Usethegiventabletoidentifytheindicatedvalueforn.B)ThenusingthevaluefornthatyoudeterminedinA,usethetabletofindtheindicatedvalueforB.

! 1 2 3 4 5 6 7 8 9 10! ! -8 -3 2 7 12 17 22 27 32 37

1.!) When ! ! = 12,what is the value of !?

!) What is the value of ! ! − 1 ?

2.!) When ! ! = 17,what is the value of !?

!) What is the value of ! ! − 1 ?

3.!) When ! ! = 32,what is the value of !?

!) What is the value of ! ! + 1 ?

4.!) When ! ! = 2,what is the value of !?

!) What is the value of ! ! + 3 ?

5.!) When ! ! = 27,what is the value of !?

!) What is the value of ! ! − 6 ?

6.!) When ! ! = −8,what is the value of !?

!) What is the value of ! ! + 9 ?

SET Topic:Comparingexplicitandrecursiveequations

Usethegiveninformationtodecidewhichequationwillbetheeasiesttousetofindtheindicatedvalue.Findthevalueandexplainyourchoice.7.Explicitequation:y=3x+7

Recursive:!"# = !"#$%&'( !"#$ + 3

term# 1 2 3 4

value 10 13 16

Findthevalueofthe4thterm._________________

Explanation:

8.Explicitequation:y=3x+7

Recursive:!"# = !"#$%&'( !"#$ + 3

term# 1 2 … 50

value 10 13 …

Findthevalueofthe50thterm.__________________

Explanation:

READY, SET, GO! Name PeriodDate

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SECONDARY MATH I // MODULE 1

SEQUENCES – 1.3

1.3

Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

9.Thevalueofthe8thtermis78.

Thesequenceisincreasingby10ateachstep.

Explicitequation:y=10x–2

Recursive:!"# = !"#$%&'( !"#$ + 10

Findthe20thterm.__________________________

Explanation:

10.Thevalueofthe8thtermis78.

Thesequenceisincreasingby10ateachstep.

Explicitequation:y=10x–2

Recursive:!"# = !"#$%&'( !"#$ + 10

Findthe9thterm.__________________________

Explanation:

11.Thevalueofthe4thtermis80.

Thesequenceisbeingdoubledateachstep.

Explicitequation:! = 5 2! Recursive: !"# = !"#$%&'( !"#$ ∗ 2

Findthevalueofthe5thterm._______________

Explanation:

12.Thevalueofthe4thtermis80.

Thesequenceisbeingdoubledateachstep.

Explicitequation:! = 5 2! Recursive:: !"# = !"#$%&'( !"#$ ∗ 2

Findthevalueofthe7thterm._______________

Explanation:

GO

Topic:EvaluatingExponentialEquations

Evaluatethefollowingequationswhenx={1,2,3,4,5}.Organizeyourinputsandoutputsintoatableofvaluesforeachequation.Letxbetheinputandybetheoutput.13.y=4x

14y=(-3)x 15.y=-3x 16.y=10x

xinput

youtput

1

2

3

4

5

xinput

youtput

1

2

3

4

5

xinput

youtput

1

2

3

4

5

xinput

youtput

1

2

3

4

5

17.If! ! = 5!,!ℎ!" !" !ℎ! !"#$% !" ! 4 ?

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