Margaret Lial, Callie Daniels, David Schneider, John Hornsby

College Algebra and Trigonometry

Global Edition

7. Auflage
Erscheinungsjahr: 2022
Print-ISBN: 978-1-292-44419-2
E-ISBN: 978-1-292-44422-2
Seiten: 1232
Sprache: Englisch

Printausgabe kaufen

Vorschau

Zusammenfassung

For courses in College Algebra & Trigonometry.

Solid support for your evolving course The College Algebra series by Lial, Hornsby, Schneider, and Daniels combines the experience of master teachers to help students develop the balance of conceptual understanding and analytical skills needed to succeed in mathematics. For this revision, integrated review is now available in MyLab Math for every title in the series to accommodate varying levels of student preparation. The Review chapter has been expanded to cover the basic algebra concepts that students often find most challenging. MyLab Math courses include Enhanced Sample Assignments, created by co-author Callie Daniels, using her best practices in the classroom to maximize student performance. Also available with MyLab Math MyLab Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

Inhaltsverzeichnis

Cover

1

-

1
Half Title

2

-

3
Title Page

4

-

4
Copyright

5

-

5
Dedication

6

-

7
Contents

8

-

17
Preface

18

-

21
Get the most out of MyLab Math

22

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23
Resources for Success

24

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25
+

Chapter R. Review of Basic Concepts

26

-

129
- R.1 Fractions, Decimals, and Percents
  
  27
  
  -
  
  39
- R.2 Sets and Real Numbers
  
  40
  
  -
  
  48
- R.3 Real Number Operations and Properties
  
  49
  
  -
  
  64
- R.4 Integer and Rational Exponents
  
  65
  
  -
  
  75
- R.5 Polynomials
  
  76
  
  -
  
  85
- R.6 Factoring Polynomials
  
  86
  
  -
  
  96
- R.7 Rational Expressions
  
  97
  
  -
  
  106
- R.8 Radical Expressions
  
  107
  
  -
  
  118
- Test Prep
  
  119
  
  -
  
  123
- Review Exercises
  
  124
  
  -
  
  127
- Test
  
  127
  
  -
  
  129
+

Chapter 1. Equations and Inequalities

130

-

225
- 1.1 Linear Equations
  
  131
  
  -
  
  136
- 1.2 Applications and Modeling with Linear Equations
  
  137
  
  -
  
  147
- 1.3 Complex Numbers
  
  148
  
  -
  
  155
- 1.4 Quadratic Equations
  
  156
  
  -
  
  165
- Chapter 1 Quiz (Sections 1.1–1.4)
  
  166
  
  -
  
  166
- 1.5 Applications and Modeling with Quadratic Equations
  
  167
  
  -
  
  178
- 1.6 Other Types of Equations and Applications
  
  179
  
  -
  
  191
- Summary Exercises on Solving Equations
  
  192
  
  -
  
  192
- 1.7 Inequalities
  
  193
  
  -
  
  204
- 1.8 Absolute Value Equations and Inequalities
  
  205
  
  -
  
  212
- Test Prep
  
  213
  
  -
  
  217
- Review Exercises
  
  218
  
  -
  
  223
- Test
  
  223
  
  -
  
  225
+

Chapter 2. Graphs and Functions

226

-

347
- 2.1 Rectangular Coordinates and Graphs
  
  227
  
  -
  
  237
- 2.2 Circles
  
  238
  
  -
  
  245
- 2.3 Functions
  
  246
  
  -
  
  262
- 2.4 Linear Functions
  
  263
  
  -
  
  276
- Chapter 2 Quiz (Sections 2.1–2.4)
  
  277
  
  -
  
  277
- 2.5 Equations of Lines and Linear Models
  
  278
  
  -
  
  290
- Summary Exercises on Graphs, Circles, Functions, and Equations
  
  291
  
  -
  
  291
- 2.6 Graphs of Basic Functions
  
  292
  
  -
  
  303
- 2.7 Graphing Techniques
  
  304
  
  -
  
  320
- Chapter 2 Quiz (Sections 2.5–2.7)
  
  321
  
  -
  
  321
- 2.8 Function Operations and Composition
  
  322
  
  -
  
  336
- Test Prep
  
  337
  
  -
  
  340
- Review Exercises
  
  341
  
  -
  
  345
- Test
  
  345
  
  -
  
  347
+

Chapter 3. Polynomial and Rational Functions

348

-

457
- 3.1 Quadratic Functions and Models
  
  349
  
  -
  
  364
- 3.2 Synthetic Division
  
  365
  
  -
  
  371
- 3.3 Zeros of Polynomial Functions
  
  372
  
  -
  
  383
- 3.4 Polynomial Functions: Graphs, Applications, and Models
  
  384
  
  -
  
  402
- Summary Exercises on Polynomial Functions, Zeros, and Graphs
  
  403
  
  -
  
  404
- 3.5 Rational Functions: Graphs, Applications, and Models
  
  405
  
  -
  
  425
- Chapter 3 Quiz (Sections 3.1–3.5)
  
  426
  
  -
  
  426
- 3.6 Polynomial and Rational Inequalities
  
  427
  
  -
  
  434
- Summary Exercises on Solving Equations and Inequalities
  
  435
  
  -
  
  435
- 3.7 Variation
  
  436
  
  -
  
  444
- Test Prep
  
  445
  
  -
  
  449
- Review Exercises
  
  450
  
  -
  
  455
- Test
  
  455
  
  -
  
  457
+

Chapter 4. Inverse, Exponential, and Logarithmic Functions

458

-

549
- 4.1 Inverse Functions
  
  459
  
  -
  
  471
- 4.2 Exponential Functions
  
  472
  
  -
  
  487
- 4.3 Logarithmic Functions
  
  488
  
  -
  
  500
- Summary Exercises on Inverse, Exponential, and Logarithmic Functions
  
  501
  
  -
  
  501
- 4.4 Evaluating Logarithms and the Change-of-Base Theorem
  
  502
  
  -
  
  513
- Chapter 4 Quiz (Sections 4.1–4.4)
  
  514
  
  -
  
  513
- 4.5 Exponential and Logarithmic Equations
  
  514
  
  -
  
  525
- 4.6 Applications and Models of Exponential Growth and Decay
  
  526
  
  -
  
  537
- Summary Exercises on Functions: Domains and Defining Equations
  
  538
  
  -
  
  540
- Test Prep
  
  541
  
  -
  
  543
- Review Exercises
  
  544
  
  -
  
  547
- Test
  
  547
  
  -
  
  549
+

Chapter 5. Trigonometric Functions

550

-

617
- 5.1 Angles
  
  551
  
  -
  
  558
- 5.2 Trigonometric Functions
  
  559
  
  -
  
  573
- 5.3 Trigonometric Function Values and Angle Measures
  
  574
  
  -
  
  588
- Chapter 5 Quiz (Sections 5.1– 5.3)
  
  589
  
  -
  
  589
- 5.4 Solutions and Applications of Right Triangles
  
  590
  
  -
  
  607
- Test Prep
  
  608
  
  -
  
  611
- Review Exercises
  
  612
  
  -
  
  614
- Test
  
  614
  
  -
  
  617
+

Chapter 6. The Circular Functions and Their Graphs

618

-

705
- 6.1 Radian Measure
  
  619
  
  -
  
  631
- 6.2 The Unit Circle and Circular Functions
  
  632
  
  -
  
  644
- 6.3 Graphs of the Sine and Cosine Functions
  
  645
  
  -
  
  657
- 6.4 Translations of the Graphs of the Sine and Cosine Functions
  
  658
  
  -
  
  668
- Chapter 6 Quiz (Sections 6.1–6.4)
  
  669
  
  -
  
  668
- 6.5 Graphs of the Tangent and Cotangent Functions
  
  669
  
  -
  
  677
- 6.6 Graphs of the Secant and Cosecant Functions
  
  678
  
  -
  
  685
- Summary Exercises on Graphing Circular Functions
  
  686
  
  -
  
  685
- 6.7 Harmonic Motion
  
  686
  
  -
  
  692
- Test Prep
  
  693
  
  -
  
  695
- Review Exercises
  
  696
  
  -
  
  702
- Test
  
  702
  
  -
  
  705
+

Chapter 7. Trigonometric Identities and Equations

706

-

795
- 7.1 Fundamental Identities
  
  707
  
  -
  
  712
- 7.2 Verifying Trigonometric Identities
  
  713
  
  -
  
  721
- 7.3 Sum and Difference Identities
  
  722
  
  -
  
  735
- Chapter 7 Quiz (Sections 7.1–7.3)
  
  736
  
  -
  
  735
- 7.4 Double-Angle and Half-Angle Identities
  
  736
  
  -
  
  748
- Summary Exercises on Verifying Trigonometric Identities
  
  749
  
  -
  
  748
- 7.5 Inverse Circular Functions
  
  749
  
  -
  
  764
- 7.6 Trigonometric Equations
  
  765
  
  -
  
  777
- Chapter 7 Quiz (Sections 7.5–7.6)
  
  778
  
  -
  
  777
- 7.7 Equations Involving Inverse Trigonometric Functions
  
  778
  
  -
  
  784
- Test Prep
  
  785
  
  -
  
  788
- Review Exercises
  
  789
  
  -
  
  792
- Test
  
  792
  
  -
  
  795
+

Chapter 8. Applications of Trigonometry

796

-

897
- 8.1 The Law of Sines
  
  797
  
  -
  
  811
- 8.2 The Law of Cosines
  
  812
  
  -
  
  824
- Chapter 8 Quiz (Sections 8.1–8.2)
  
  825
  
  -
  
  825
- 8.3 Geometrically Defined Vectors and Applications
  
  826
  
  -
  
  835
- 8.4 Algebraically Defined Vectors and the Dot Product
  
  836
  
  -
  
  844
- Summary Exercises on Applications of Trigonometry and Vectors
  
  845
  
  -
  
  845
- 8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
  
  846
  
  -
  
  856
- 8.6 De Moivre’s Theorem; Powers and Roots of Complex Numbers
  
  857
  
  -
  
  863
- Chapter 8 Quiz (Sections 8.3–8.6)
  
  864
  
  -
  
  863
- 8.7 Polar Equations and Graphs
  
  864
  
  -
  
  876
- 8.8 Parametric Equations, Graphs, and Applications
  
  877
  
  -
  
  884
- Test Prep
  
  885
  
  -
  
  889
- Review Exercises
  
  890
  
  -
  
  895
- Test
  
  895
  
  -
  
  897
+

Chapter 9. Systems and Matrices

898

-

1015
- 9.1 Systems of Linear Equations
  
  899
  
  -
  
  916
- 9.2 Matrix Solution of Linear Systems
  
  917
  
  -
  
  931
- 9.3 Determinant Solution of Linear Systems
  
  932
  
  -
  
  944
- 9.4 Partial Fractions
  
  945
  
  -
  
  951
- Chapter 9 Quiz (Sections 9.1– 9.4)
  
  952
  
  -
  
  952
- 9.5 Nonlinear Systems of Equations
  
  953
  
  -
  
  962
- Summary Exercises on Systems of Equations
  
  963
  
  -
  
  963
- 9.6 Systems of Inequalities and Linear Programming
  
  964
  
  -
  
  975
- 9.7 Properties of Matrices
  
  976
  
  -
  
  989
- 9.8 Matrix Inverses
  
  990
  
  -
  
  1001
- Test Prep
  
  1002
  
  -
  
  1006
- Review Exercises
  
  1007
  
  -
  
  1012
- Test
  
  1012
  
  -
  
  1015
+

Chapter 10. Analytic Geometry

1016

-

1063
- 10.1 Parabolas
  
  1017
  
  -
  
  1025
- 10.2 Ellipses
  
  1026
  
  -
  
  1038
- Chapter 10 Quiz (Sections 10.1–10.2)
  
  1039
  
  -
  
  1038
- 10.3 Hyperbolas
  
  1039
  
  -
  
  1049
- 10.4 Summary of the Conic Sections
  
  1050
  
  -
  
  1056
- Test Prep
  
  1057
  
  -
  
  1058
- Review Exercises
  
  1059
  
  -
  
  1061
- Test
  
  1061
  
  -
  
  1063
+

Chapter 11. Further Topics in Algebra

1064

-

1145
- 11.1 Sequences and Series
  
  1065
  
  -
  
  1075
- 11.2 Arithmetic Sequences and Series
  
  1076
  
  -
  
  1085
- 11.3 Geometric Sequences and Series
  
  1086
  
  -
  
  1096
- Summary Exercises on Sequences and Series
  
  1097
  
  -
  
  1097
- 11.4 The Binomial Theorem
  
  1098
  
  -
  
  1104
- 11.5 Mathematical Induction
  
  1105
  
  -
  
  1111
- Chapter 11 Quiz (Sections 11.1–11.5)
  
  1112
  
  -
  
  1112
- 11.6 Basics of Counting Theory
  
  1113
  
  -
  
  1123
- 11.7 Basics of Probability
  
  1124
  
  -
  
  1135
- Test Prep
  
  1136
  
  -
  
  1139
- Review Exercises
  
  1140
  
  -
  
  1143
- Test
  
  1143
  
  -
  
  1145
+

Appendices

1146

-

1155
- Appendix A. Polar Form of Conic Sections
  
  1146
  
  -
  
  1149
- Appendix B. Rotation of Axes
  
  1150
  
  -
  
  1153
- Appendix C. Geometry Formulas
  
  1153
  
  -
  
  1155
Answers to Selected Exercises

1156

-

1213
Photo Credits

1214

-

1215
+

Index

1216

-

1232
- A
  
  1216
  
  -
  
  1215
- B
  
  1216
  
  -
  
  1216
- C
  
  1217
  
  -
  
  1217
- D
  
  1218
  
  -
  
  1218
- E
  
  1219
  
  -
  
  1218
- F
  
  1219
  
  -
  
  1219
- G
  
  1220
  
  -
  
  1220
- H
  
  1221
  
  -
  
  1220
- I
  
  1221
  
  -
  
  1221
- J
  
  1222
  
  -
  
  1221
- K
  
  1222
  
  -
  
  1221
- L
  
  1222
  
  -
  
  1222
- M
  
  1223
  
  -
  
  1222
- N
  
  1223
  
  -
  
  1223
- O
  
  1224
  
  -
  
  1223
- P
  
  1224
  
  -
  
  1224
- Q
  
  1225
  
  -
  
  1224
- R
  
  1225
  
  -
  
  1225
- S
  
  1226
  
  -
  
  1226
- T
  
  1227
  
  -
  
  1227
- U
  
  1228
  
  -
  
  1227
- V
  
  1228
  
  -
  
  1228
- W
  
  1229
  
  -
  
  1228
- X
  
  1229
  
  -
  
  1228
- Y
  
  1229
  
  -
  
  1228
- Z
  
  1229
  
  -
  
  1232

College Algebra and Trigonometry

Global Edition

Zusammenfassung

For courses in College Algebra & Trigonometry.

Inhaltsverzeichnis

Über die Autoren

Margaret Lial

Callie Daniels

David Schneider

John Hornsby

Weitere Beiträge zur Thematik

College Algebra and Trigonometry

Global Edition

Zusammenfassung

For courses in College Algebra & Trigonometry.

Inhaltsverzeichnis

Über die Autoren

Margaret Lial

Callie Daniels

David Schneider

John Hornsby

Weitere Beiträge zur Thematik

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