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. !"#$%: ℎ(!) = 2! – 5 a. ℎ(−4) = _____ b. ℎ ! = 23, ! = ______ c. ℎ(13) = ______ d. ℎ ! = −33, ! = ______ 2. 3. a. ! 2 = ______ b. ! ! = 3 , ! = ______ c. ! 0 = _______ d. Write the explicit rule for g (x). a. ! −1 = ______ b. ! ! = 4, ! = ______ c. ! 2 = ______ d. Write the explicit rule for r (x). READY, SET, GO! Name Period Date g(x) r(x) Homework help at www.rsgsupport.org 129
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SECONDARY MATH I // MODULE 3
FEATURES OF FUNCTIONS - RSG 3.5
Mathematics Vision Project
Licensed under the Creative Commons Attribution CC BY 4.0
mathematicsvisionproject.org
3.5
READY
Topic:Interpretingfunctionnotationtofindtheoutputorinputbasedonwhatisgiven
Foreachfunction,findtheindicatedvalues.
1. !"#$%: 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
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
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
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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