Name: Period: Mod 3 Review domain and range increasing...

Name:_______________________________ Period:________Mod3Review

ListKeyFeaturesofthefollowingfunctions.Includedomainandrange,increasinganddecreasing,xandyintercepts,andmaxandmin,anddiscrete,continuousordiscontinuous.Thislistwillnotbeprovidedonthetest.Youmustmemorizethekeyfeatures.1.2. 3.4.Whatfeatureswouldeverycontinuouslinearfunctionhave?

a) Domain: Range:b) Increasing,decreasing:c) x-intercept: y-intercept:d) Max: Min:

5. 6.7.Whatfeatureswouldeverycontinuousexponentialfunction(! = !"!)have?

a) Domain: Range:b) Increasing,decreasing:c) x-intercept: y-intercept:d) Max: Min:

-5

-5

5

5

-5

-5

5

5

12

10

8

6

4

2

5 10

10

8

6

4

2

–2

–5

8.Whatarethesimilaritiesanddifferencesbetweencontinuouslinearandexponentialfunctions?Answerquestions9-17belowusingthegraphf(x)shown.9.Whatisthedomainofthegraph?(insetnotationandintervalnotation)10.Findthefollowingvalues: a.f(-3) b.f(0) c.f(1) d.f(-1.5)11.Findthex-valueforeachofthegivenoutputs: a.Iff(x)=3,x=_________ b.Iff(x)=0,x=____________c.Iff(x)=-1,x=__________12.Whatistheminimum?themaximum?13.Whatishappeningontheinterval[1,3]?14.Onwhatintervalsisthefunctionincreasing?15.Listalltheintercepts.16.Overwhatinterval(s)isthereaconstantrateofchange?17.Isthisfunctioncontinuous,discrete,ordiscontinuous?Howdoyouknow?18.g(x) a. ! 2 = ______

b. ! ! = 3 , ! = c. ! 0 = _______

d.Whatistheexplicitruleforg(x)

Answerthefollowingquestionsusingthegraphh(x)onbelow.

19.Findthefollowingvalues: a.h(2) b.h(0) c.h(4) d.h(-3)20.Findthex-valueforeachofthegivenoutputs. a.Ifh(x)=1,x=________ b.Ifh(x)=-2,x=________ c.Ifh(x)=7,x=________ d.Ifh(x)=-9,x=________

Giventhedescriptionsbelow,sketchapossiblegraphofthefunction.Thereismorethanonepossiblecorrectanswer.

21.a. Thefunctionhasaminimumat-5.b. Thefunctionhasamaximumat8.c. Thefunctionhastwointervalsonwhichitis

decreasingandoneintervalonwhichitisincreasing.

d. TheDomainofthefunctionscontainsallRealnumbersfrom1to9.

22.a. Thisfunctionisnotcontinuousanywhere.b. Thefunctioncontainsonlysevenelementsin

itsdomain.c. Thevaluesofthedomainarebetween-10and

2.d. Thevaluesoftherangearebetween-1and3.

23.Whatisthedefinitionofafunction?Filloutthetablebelowwithyourownexamplesandnon-examplesoffunctions.

Representation ExampleofFunction CounterexampleTable

Input Output

Input Output

SetofOrderedpairs

Map

InputOutput InputOutput

Graph

Equation

Context