Precalculus : Graphing and Data Analysis

, by Sullivan, Michael

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ISBN: 9780130289551 | 0130289558
Cover: Hardcover
Copyright: 6/1/2001

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Supplemental Materials

Preface to the Instructor

Preface to the Student

xiii

List of Applications

xxii

Photo Credits

xxvii

CHAPTER 1 GRAPHS

(96)

1.1 Rectangular Coordinates; Graphing Utilities

(10)

1.2 Graphs of Equations

(12)

1.3 Solving Equations

(12)

1.4 Setting Up Equations; Applications

(13)

1.5 Solving Inequalities

(11)

1.6 Lines

(16)

1.7 Scatter Diagrams; Linear Curve Fitting

(7)

1.8 Circles

(6)

Chapter Review

(6)

Project at Motorola

(2)

CHAPTER 2 FUNCTIONS

(74)

2.1 Functions

(18)

2.2 Characteristics of Functions

116

(12)

2.3 Library of Functions; Piecewise-defined Functions

128

(9)

2.4 Graphing Techniques: Transformations

137

(11)

2.5 Operations on Functions; Composite Functions

148

(8)

2.6 Mathematical Models: Constructing Functions

156

(10)

Chapter Review

166

(4)

Project at Motorola

170

(1)

CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS

171

(66)

3.1 Quadratic Functions; Curve Fitting

172

(19)

3.2 Power Functions; Curve Fitting

191

(6)

3.3 Polynomial Functions; Curve Fitting

197

(11)

3.4 Rational Functions I

208

(11)

3.5 Rational Functions II: Analyzing Graphs

219

(11)

Chapter Review

230

(4)

Project at Motorola

234

(3)

CHAPTER 4 THE ZEROS OF A POLYNOMIAL FUNCTION

237

(42)

4.1 The Real Zeros of a Polynomial Function

238

(14)

4.2 Complex Numbers; Quadratic Equations with a Negative Discriminant

252

(10)

4.3 Complex Zeros; Fundamental Theorem of Algebra

262

(5)

4.4 Polynomial and Rational Inequalities

267

(9)

Chapter Review

276

(2)

Project at Motorola

278

(1)

CHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS

279

(88)

5.1 One-to-One Functions; Inverse Functions

280

(12)

5.2 Exponential Functions

292

(13)

5.3 Logarithmic Functions

305

(11)

5.4 Properties of Logarithms

316

(8)

5.5 Logarithmic and Exponential Equations

324

(4)

5.6 Compound Interest

328

(11)

5.7 Growth and Decay

339

(9)

5.8 Exponential, Logarithmic, and Logistic Curve Fitting

348

(12)

Chapter Review

360

(5)

Project at Motorola

365

(2)

CHAPTER 6 TRIGONOMETRIC FUNCTIONS

367

(78)

6.1 Angles and Their Measure

368

(11)

6.2 Trigonometric Functions: Unit Circle Approach

379

(17)

6.3 Properties of the Trigonometric Functions

396

(12)

6.4 Graphs of the Sine and Cosine Functions

408

(5)

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

413

(6)

6.6 Sinusoidal Graphs; Sinusoidal Curve Fitting

419

(19)

Chapter Review

438

(5)

Project at Motorola

443

(2)

CHAPTER 7 ANALYTIC TRIGONOMETRY

445

(62)

7.1 Trigonometric Identities

446

(6)

7.2 Sum and Difference Formulas

452

(9)

7.3 Double-Angle and Half-Angle Formulas

461

(9)

7.4 Product-to-Sum and Sum-to-Product Formulas

470

(3)

7.5 The Inverse Trigonometric Functions (I)

473

(12)

7.6 The Inverse Trigonometric Functions (II)

485

(5)

7.7 Trigonometric Equations (I)

490

(5)

7.8 Trigonometric Equations (II)

495

(7)

Chapter Review

502

(4)

Project at Motorola

506

(1)

CHAPTER 8 APPLICATIONS OF TRIGONOMETRIC FUNCTIONS

507

(52)

8.1 Right Triangle Trigonometry

508

(13)

8.2 The Law of Sines

521

(11)

8.3 The Law of Cosines

532

(7)

8.4 The Area of a Triangle

539

(5)

8.5 Simple Harmonic Motion; Damped Motion

544

(8)

Chapter Review

552

(4)

Project at Motorola

556

(3)

CHAPTER 9 POLAR COORDINATES; VECTORS

559

(76)

9.1 Polar Coordinates

560

(8)

9.2 Polar Equations and Graphs

568

(17)

9.3 The Complex Plane; DeMoivre's Theorem

585

(9)

9.4 Vectors

594

(12)

9.5 The Dot Product

606

(8)

9.6 Vectors in Space

614

(10)

9.7 The Cross Product

624

(6)

Chapter Review

630

(3)

Project at Motorola

633

(2)

CHAPTER 10 ANALYTIC GEOMETRY

635

(74)

10.1 Conics

636

(1)

10.2 The Parabola

637

(12)

10.3 The Ellipse

649

(12)

10.4 The Hyperbola

661

(14)

10.5 Rotation of Axes; General Form of a Conic

675

(9)

10.6 Polar Equations of Conics

684

(6)

10.7 Plane Curves and Parametric Equations

690

(14)

Chapter Review

704

(4)

Project at Motorola

708

(1)

CHAPTER 11 SYSTEMS OF EQUATIONS AND INEQUALITIES

709

(100)

11.1 Systems of Linear Equations: Two Equations Containing Two Variables

710

(11)

11.2 Systems of Linear Equations: Three Equations Containing Three Variables

721

(6)

11.3. Systems of Linear Equations: Matrices

727

(13)

11.4 Systems of Linear Equations: Determinants

740

(11)

11.5 Matrix Algebra

751

(18)

11.6 Partial Fraction Decomposition

769

(7)

11.7 Systems of Nonlinear Equations

776

(12)

11.8 Systems of Linear Inequalities; Linear Programming

788

(15)

Chapter Review

803

(5)

Project at Motorola

808

(1)

CHAPTER 12 SEQUENCES; INDUCTION; THE BINOMIAL THEOREM

809

(48)

12.1 Sequences

810

(15)

12.2 Arithmetic Sequences

825

(6)

12.3 Geometric Sequences; Geometric Series

831

(9)

12.4 Mathematical Induction

840

(4)

12.5 The Binomial Theorem

844

(8)

Chapter Review

852

(3)

Project at Motorola

855

(2)

CHAPTER 13 COUNTING AND PROBABILITY

857

(44)

13.1 Sets and Counting

858

(6)

13.2 Permutations and Combinations

864

(10)

13.3 Probability of Equally Likely Outcomes

874

(14)

13.4 Obtaining Probabilities from Data

888

(6)

Chapter Review

894

(4)

Project at Motorola

898

(3)

CHAPTER 14 A PREVIEW OF CALCULUS: THE LIMIT, DERIVATIVE, AND INTEGRAL OF A FUNCTION

901

(41)

14.1 Finding Limits Using Tables and Graphs

902

(6)

14.2 Algebra Techniques for Finding Limits

908

(7)

14.3 One-sided Limits; Continuous Functions

915

(6)

14.4 The Tangent Problem; the Derivative

921

(8)

14.5 The Area Problem; the Integral

929

(8)

Chapter Review

937

(4)

Project at Motorola

941

(1)

APPENDIX REVIEW

942

1. Algebra Review

942

(9)

2. Integer Exponents

951

(6)

3. Polynomials

957

(6)

4. Polynomial Division; Synthetic Division

963

(6)

5. Factoring Polynomials

969

(7)

6. Solving Equations

976

(3)

7. Rational Expressions

979

(9)

8. Radicals; Rational Exponents

988

(6)

9. Geometry Review

994

(4)

10. Completing the Square; The Quadratic Formula

998

Answers

AN1

Index

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Precalculus : Graphing and Data Analysis

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