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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