Advanced Mathematical Concepts - Precalculus with Applications practice

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1、EXTRAPRACTICELesson1-1(Pages5–11)Statethedomainandrangeofeachrelation.Thenstatewhethertherelationisafunction.Writeyesorno.1.{(1,4),(
2,2),(2,2),(1,
4)}2.{(0.5,3),(
0.5,3),(3,0.5),(
3,0.5)}3.{(2,2),(5,7),(
1,1),(0,3),(7,5)}4.{(3.2,4),(2.3,
4),(2,3),(3.2,
1)}Evaluateeachfunct

2、ionforthegivenvalue.EXTRAPRACTICE5.f(4)iff(x)4x
26.g(
3)ifg(x)2x2
x5327.h(1.5)ifh(x)8.k(5m)ifk(x)½3x
3½2xLesson1-2(Pages13–19)2f1.Givenf(x)2x
1andg(x)x3x
1,findf(x)g(x),f(x)
g(x),f(x)g(x),and
g(x).Find[f
g](x)and[g
f](x)foreachf(x)andg(x).12.f(x)3
x3.f(x)

3、x
14.f(x)
2x3g(x)4x2g(x)x9g(x)2x3
x2x
1Lesson1-3(Pages20–25)Findthezeroofeachfunction.Ifnozeroexists,writenone.Thengraphthefunction.1.f(x)x
22.f(x)
3x43.f(x)
14.f(x)4x5.f(x)2x
16.f(x)
x
5Lesson1-4(Pages26–31)Writeanequationinslope-interceptformforeachlinedescri

4、bed.1.slope2,y-intercept12.slope
1,passesthrough(1,2)13.slope
,y-intercept
34.slope0,passesthrough(
2,
4)45.passesthroughA(2,1)andB(
2,3)6.x-intercept
1,y-intercept67.thex-axis8.slope1.5,x-intercept10A26ExtraPracticeLesson1-5(Pages32–37)1.Arethegraphsofy4x
2and

5、y
4x3parallel,coinciding,perpendicular,ornoneofthese?Explain.EXTRAPRACTICEWritethestandardformoftheequationofthelinethatisparalleltothegraphofthegivenequationandpassesthroughthepointwiththegivencoordinates.2.yx1;(0,
2)3.y2x
2;(1,3)4.y
1;(
4,12)Writethestandardformofth

6、eequationofthelinethatisperpendiculartothegraphofthegivenequationandpassesthroughthepointwiththegivencoordinates.5.3x
y5;(
2,6)6.x10;(12,
15)7.5x
2y1;(3,
7)Lesson1-6(Pages38–44)ThetableshowsthenumberofstudentsenrolledinU.S.publicelementaryandsecondaryschoolsforseveralsch

7、oolyears.StudentsEnrolledinU.S.PublicElementaryandSecondarySchools1989–1990–1991–1992–1993–1994–1995–2010–SchoolYear19901991199219931994199519962011Enrollment40.541.242.042.843.544.144.8?(thousands)Source:TheWorldAlmanac,19991.Graphthedataonascatterplot.Usethelastyearofthes

8、choolyearforyourgraph.2.Usetwoorderedpairstowritetheequationofabest-fitline.3.Usea