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SECONDARY MATH I // MODULE 3 FEATURES OF FUNCTIONS - RSG 3.5 Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org 3.5 READY Topic: Interpreting function notation to find the output or input based on what is given For each function, find the indicated values. 1. !"#$%: ℎ(!) = 2! – 5 a. ℎ(−4) = _____ b. ℎ ! = 23, ! = ______ c. ℎ(13) = ______ d. ℎ ! = −33, ! = ______ 2. 3. a. ! 2 = ______ b. ! ! = 3 , ! = ______ c. ! 0 = _______ d. Write the explicit rule for g (x). a. ! −1 = ______ b. ! ! = 4, ! = ______ c. ! 2 = ______ d. Write the explicit rule for r (x). READY, SET, GO! Name Period Date g(x) r(x) Homework help at www.rsgsupport.org 129

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Page 1: READY, SET, GO!msubmathing.weebly.com/.../0/6/38068469/ready_set_go_3.5.pdfMathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

SECONDARY MATH I // MODULE 3

FEATURES OF FUNCTIONS - RSG 3.5

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

3.5

READY

Topic:Interpretingfunctionnotationtofindtheoutputorinputbasedonwhatisgiven

Foreachfunction,findtheindicatedvalues.

1. !"#$%: ℎ(!) = 2! – 5a. ℎ(−4) = _____b.ℎ ! = 23, ! = ______ c.ℎ(13) = ______ d.ℎ ! = −33, ! = ______

2.

3.

a. ! 2 = ______

b. ! ! = 3 , ! = ______

c.! 0 = _______d.Writetheexplicitruleforg(x).

a.! −1 = ______b.! ! = 4, ! = ______c.! 2 = ______d.Writetheexplicitruleforr(x).

READY, SET, GO! Name PeriodDate

g(x) r(x)

Homework help at www.rsgsupport.org 129

Page 2: READY, SET, GO!msubmathing.weebly.com/.../0/6/38068469/ready_set_go_3.5.pdfMathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

SECONDARY MATH I // MODULE 3

FEATURES OF FUNCTIONS - RSG 3.5

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

3.5

SET Topic:AddingfunctionsTwofunctionsaregraphed.Graphanewfunctiononthesamegridbyaddingthetwogivenfunctions.4.ℎ ! = ! ! + ! !

5.! ! = ! ! + ! !

6.Usethegraphtoanswerthefollowingquestions.

a.Wheredoes! ! = ! ! ?b.Whatis! 4 + ! 4 ?c.Whatis! −2 − ! −2 ?d.Statetheintervalwhere! ! > ! ! .

Homework help at www.rsgsupport.org 130

Page 3: READY, SET, GO!msubmathing.weebly.com/.../0/6/38068469/ready_set_go_3.5.pdfMathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

SECONDARY MATH I // MODULE 3

FEATURES OF FUNCTIONS - RSG 3.5

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

3.5

7.Usethegraphtoanswerthefollowingquestions.a.Whereis! ! > ℎ ! ?b.Whatis! 1 − ℎ 1 ?c.Whatis! 0 + ℎ 0 ?d.Writeanexplicitrulefor

! ! and for ℎ ! .e.Sketch! ! − ! ! onthegraph.

GO Topic:DistinguishingbetweendiscreteandcontinuousfunctionsForeachcontextorrepresentationdeterminewhetheritisdiscreteorcontinuousorcouldbemodeledbestinadiscreteorcontinuousway.Justifyyouranswer.8.Susanputsexactly$5aweekinherpiggybank.

9. 10.

10.

Homework help at www.rsgsupport.org 131

Page 4: READY, SET, GO!msubmathing.weebly.com/.../0/6/38068469/ready_set_go_3.5.pdfMathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org

SECONDARY MATH I // MODULE 3

FEATURES OF FUNCTIONS - RSG 3.5

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

3.5

11.Marshaltracksthenumberofhitshegetseachbaseballgameandisrecordinghistotalnumber

ofhitsfortheseasoninatable.12.Thedistanceyouhavetraveledsincethedaybegan.

13.Numberofgumballs Cost

5 10¢10 20¢15 30¢20 40¢

14.Stephendeposited$1,000inasavingsaccountatthebankwhenheturned21.Hedeposits

$100eachmonth.Heplanstoneverwithdrawanymoneyuntilthebalanceis$150,000.

Homework help at www.rsgsupport.org 132

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