SECONDARY MATH I // MODULE 3 Lesson 5 FEATURES OF ...

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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! ! > ! ! .

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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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