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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
Lesson 5
READY
Topic:Interpretingfunctionnotationtofindtheoutputorinputbasedonwhatisgiven
Foreachfunction,findtheindicatedvalues.
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. Writetheexplicitruleforg(x).
a. ! −1 = ______
b. ! ! = 4, ! = ______
c. ! 2 = ______
d. Writetheexplicitruleforr(x).
READY, SET, GO! Name Period Date
g(x) r(x)
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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
Lesson 5
4. ℎ ! = ! ! + ! ! 5. ! ! = ! ! + ! !
5. Usethegraphtoanswerthefollowingquestions.
a. Wheredoes! ! = ! ! ?
b. Whatis! 4 + ! 4 ?
c. Whatis! −2 − ! −2 ?
d. Statetheintervalwhere! ! > ! ! .
Page 29
SET
Topic:Addingfunctions
Twofunctionsaregraphed.Graphanewfunctiononthesamegridbyaddingthetwogivenfunctions.
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
Lesson 5
6. Usethegraphtoanswerthefollowingquestions.
a. Whereis! ! > ℎ ! ?
b. Whatis! 1 − ℎ 1 ?
c. Whatis! 0 + ℎ 0 ?
d. Writeanexplicitrulefor! ! and for ℎ ! .
e. Sketch! ! − ℎ ! onthegraph.
GO
Topic:Distinguishingbetweendiscreteandcontinuousfunctions
Foreachcontextorrepresentationdeterminewhetheritisdiscreteorcontinuousorcouldbemodeledbestinadiscreteorcontinuousway.Justifyyouranswer.
8. Susanputsexactly$5aweekinherpiggybank.
9. 10.
10.
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