Chapter 11 Using Graphing Utility Graph Equations

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Ch.11 Appendix:GraphingUtilities

11.1 TheViewingRectangle

1 TheViewingRectangle

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

Determinethecoordinatesofthepointsshown.Tellinwhichquadrantthepointlies.Assumethecoordinatesare

integers.

A) (–4,6);quadrantII B) (–4,3);quadrantII

C) (–4,6);quadrantID)(

–4,3);quadrantI

A) (1,6);quadrantI B) (1,6);quadrantII C) (1,3);quadrantI D) (1,3);quadrantII

A) (2,–1);quadrantIV B) (2,–1);quadrantIII

C) (2,–2);quadrantIV D) (2,–2);quadrantIII

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A) (–6,–8);quadrantIII B) (–6,–8);quadrantIV

C) (–6,–4);quadrantIII D) (–6,–4);quadrantIV

Determinetheviewingwindowused.

A) B)

C) D)

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A) B)

C) D)

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A) B)

C) D)

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A) B)

C) D)

Selectasettingsothatthegivenpointswillliewithintheviewingrectangle.

9) (–40

20),(–30

100),(120

–20)

A) Xmin=–50

Xmax=130

Xscl=10

Ymin=–30

Ymax=110

Yscl=10

B) Xmin= –30

Xmax=110

Xscl=10

Ymin=–50

Ymax=130

Yscl=10

C) Xmin= –50

Xmax=130

Xscl=10

Ymin=10

Ymax=110

Yscl=10

D) Xmin= –40

Xmax=130

Xscl=10

Ymin=–30

Ymax=110

Yscl=10

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11.2 UsingaGraphingUtilitytoGraphEquations

1 UsingaGraphingUtilitytoGraphEquations

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

Graphtheequationusingtheindicatedviewingwindow.

1) y=x+4;

Xmin=–5

Xmax=5

Xscl=1

Ymin=–4

Ymax=4

Yscl=1

A) B)

C) D)

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2) 2x+3y=6;

Xmin=–10

Xmax=10

Xscl=2

Ymin=–8

Ymax=8

Yscl=2

A) B)

C) D)

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3) y=x2+2;

Xmin=–5

Xmax=5

Xscl=1

Ymin=–20

Ymax=20

Yscl=5

A) B)

C) D)

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Fortheequation,createatable,–3≤x≤3,andlistpointsonthegraph.

4) y=x+4

(–3,1),(–2,2),(–1,3),(0,4),(1,5),

(2,6),(3,7)

(–3,–7),(–2,–6),(–1,–5),(0,–4),(1,–3),

(2,–2),(3,–1)

(–3,7),(–2,6),(–1,5),(0,4),(1,3),(2,2),

(3,1)

(–3,–1),(–2,–2),(–1,–3),(0,–4),(1,–5),

(2,–6),(3,–7)

5) 2x+3y=6

(–3,4),(–2,3.33),(–1,2.67),(0,2),

(1,1.33),(2,0.67),(3,0)

(–3,8),(–2,7.33),(–1,6.67),(0,6),(1,5.33),

(2,4.67),(3,4)

(–3,0),(–2,0.67),(–1,1.33),(0,2),

(1,2.67),(2,3.33),(3,4)

(–3,8),(–2,6),(–1,4),(0,2),(1,0),

(2,–2),(3,–4)

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6) y=x2+2

(–3,11),(–2,6),(–1,3),(0,2),(1,3),

(2,6),(3,11)

(–3,7),(–2,2),(–1,–1),(0,–2),(1,–1),

(2,2),(3,7)

(–3,–1),(–2,0),(–1,1),(0,2),(1,3),

(2,4),(3,5)

(–3,10),(–2,5),(–1,2),(0,1),(1,2),

(2,5),(3,10)

11.3 UsingaGraphingUtilitytoLocateInterceptsandCheckforSymmetry

1 UsingaGraphingUtilitytoLocateInterceptsandCheckforSymmetry

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

UseZERO(orROOT)toapproximatethesmallerofthetwox–interceptsoftheequation.Expresstheanswer

roundedtotwodecimalplaces.

1) y=x2+5x–3

A) –5.54 B) 0.54 C) –0.54 D) 5.54

UseZERO(orROOT)toapproximatethepositivex–interceptsoftheequation.Roundtotwodecimalplaces.

2) y=x3+3x2–5x–7

A) 1.83 B) 1.76 C) 3.83 D) 1.91

3) y=x3+3.3x2–5.2x–6.3

A) 1.75 B) 0.86 C) 4.18 D) 1.57

4) y=x4+1.5x3–8.31x2–3.27x+8.39

A) 0.94and2.18 B) 0.87and2.21 C) 1.19and3.44 D) 8.39

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11.4 UsingaGraphingUtilitytoSolveEquations

1 UsingaGraphingUtilitytoSolveEquations

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

UseZERO(orROOT)tofindthesolutionstotheequation.Roundtotwodecimalplaces.

1) x2+3x–5=0

A) x=1.19

–4.19 B) x=1.33

–4.37 C) x=1.01

–4.05 D) x=1.33

–4.05

UseINTERSECTtofindthesolutiontotheequation.Roundtotwodecimalplaces,ifnecessary.

2) 6(x–3)=2(x–2)

A) x=3.5 B) x=2.5 C) x= –3.5 D) x= –2.5

11.5 SquareScreens

1 SquareScreens

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

Determinewhetherthegivenviewingrectanglewillresultinasquarescreen.

Xmin =-

Xmax =9

Xscl =1

Ymin =-

Ymax =7

Yscl =3

A) Yes B) No

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11.6 UsingaGraphingUtilitytoGraphInequalities

1 UsingaGraphingUtilitytoGraphInequalities

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

Useagraphingutilitytographtheinequality.

1) 2x+y–3≤0

A) B)

C) D)

2) 2x+y–3≥0

A) B)

C) D)

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11.7 UsingaGraphingUtilitytoSolveSystemsofLinearEquations

1 UsingaGraphingUtilitytoSolveSystemsofLinearEquations

MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.

Useagraphingutilitytosolvethesystemoflinearequationsandgivethesolutionofthesystem.

9x +3y –z=15

x+7y –6z =-

7x +y+z=21

x=1,y=5,z=9

x=5

2,y=–11

2,z=9

x=9,y=5,z=1

x=5

3,y=–59

20,z=9

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Ch.11 Appendix:GraphingUtilities

AnswerKey

11.1 TheViewingRectangle

1 TheViewingRectangle

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