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Algebra and Trigonometry : Graphing, Data, and Analysis

by: Sullivan, Michael; Sullivan, Michael

Algebra and Trigonometry : Graphing, Data, and Analysis

by: Sullivan, Michael; Sullivan, Michael

ISBN 13:
9780131404533
ISBN 10:
0131404539
Edition: 2nd
Format: Hardcover
Copyright: 01/01/2004
Publisher: Pearson College Div

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Preface to the Instructor

xiii

Preface to the Student

xviii

Photo and Illustration Credits

xix

List of Applications

xxviii

Equations, Inequalities, and Functions

(88)

Solving Equations and Inequalities in One Variable Algebraically

(14)

Rectangular Coordinates; Graphing Utilities

(9)

Introduction to Graphing Equations

(8)

Symmetry; Graphing Key Equations; Circles

(13)

Solving Equations and Inequalities in One Variable Using a Graphing Utility

(5)

Introduction to Functions

(13)

The Graph of a Function

(8)

Properties of Functions

(17)

Chapter Review

(5)

Chapter Projects

(2)

Linear Functions and Models

(54)

Properties of Linear Functions

(13)

Equations of Lines; Building Linear Functions

103

(13)

Setting Up Linear Equations; Applications

116

(13)

Building Linear Functions from Data

129

(14)

Chapter Review

137

(4)

Chapter Projects

141

(1)

Cumulative Review

142

(1)

Quadratic Functions and Models

143

(54)

Quadratic Equations

144

(13)

The Graph of a Quadratic Function

157

(13)

Inequalities Involving Quadratic Functions

170

(5)

Quadratic Models: Building Quadratic Functions

175

(7)

Complex Numbers; Quadratic Equations with a Negative Discriminant

182

(15)

Chapter Review

191

(3)

Chapter Projects

194

(1)

Cumulative Review

195

(2)

Additional Functions and Models

197

(46)

Radical Equations; Absolute Value Equations; Absolute Value Inequalities

198

(9)

Library of Functions; Piecewise-defined Functions

207

(11)

Graphing Techniques: Transformations

218

(13)

Models Involving the Square Root Function and Piecewise-defined Functions

231

(12)

Chapter Review

238

(2)

Chapter Projects

240

(1)

Cumulative Review

241

(2)

Polynomial and Rational Functions

243

(80)

Power Functions and Models

244

(6)

Polynomial Functions and Models

250

(15)

Rational Functions I

265

(12)

Rational Functions II: Analyzing Graphs

277

(13)

Polynomial and Rational Inequalities

290

(6)

The Real Zeros of a Polynomial Function

296

(14)

Complex Zeros; Fundamental Theorem of Algebra

310

(13)

Chapter Review

316

(4)

Chapter Projects

320

(2)

Cumulative Review

322

(1)

Exponential and Logarithmic Functions

323

(106)

Composite Functions

324

(7)

Inverse Functions

331

(14)

Exponential Functions

345

(16)

Logarithmic Functions

361

(12)

Properties of Logarithms

373

(9)

Logarithmic and Exponential Equations

382

(5)

Compound Interest

387

(10)

Exponential Growth and Decay

397

(8)

Logistic Growth and Decay

405

(6)

Fitting Data to Exponential, Logarithmic and Logistic Functions

411

(18)

Chapter Review

419

(7)

Chapter Projects

426

(1)

Cumulative Review

427

(2)

Trigonometric Functions

429

(88)

Angles and Their Measure

430

(14)

Trigonometric Functions: Unit Circle Approach

444

(16)

Properties of the Trigonometric Functions

460

(15)

Graphs of the Sine and Cosine Functions

475

(16)

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

491

(6)

Phase Shifts; Sinusoidal Curve Fitting

497

(20)

Chapter Review

508

(6)

Chapter Projects

514

(1)

Cumulative Review

515

(2)

Analytic Trigonometry

517

(70)

The Inverse Sine, Cosine, and Tangent Functions

518

(12)

The Inverse Trigonometric Functions (continued)

530

(5)

Trigonometric Identities

535

(8)

Sum and Difference Formulas

543

(10)

Double-Angle and Half-Angle Formulas

553

(10)

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

563

(3)

Trigonometric Equations (I)

566

(7)

Trigonometric Equations (II)

573

(14)

Chapter Review

580

(4)

Chapter Projects

584

(1)

Cumulative Review

585

(2)

Applications of Trigonometric Functions

587

(54)

Right Triangle Trigonometry

588

(13)

The Law of Sines

601

(11)

The Law of Cosines

612

(6)

Area of a Triangle

618

(6)

Simple Harmonic Motion; Damped Motion; Combining Waves

624

(17)

Chapter Review

634

(4)

Chapter Projects

638

(2)

Cumulative Review

640

(1)

Polar Coordinates; Vectors

641

(80)

Polar Coordinates

642

(9)

Polar Equations and Graphs

651

(18)

The Complex Plane; De Moivre's Theorem

669

(9)

Vectors

678

(12)

The Dot Product

690

(8)

Vectors in Space

698

(10)

The Cross Product

708

(13)

Chapter Review

715

(4)

Chapter Projects

719

(1)

Cumulative Review

720

(1)

Analytic Geometry

721

(78)

Conics

722

(1)

The Parabola

723

(11)

The Ellipse

734

(13)

The Hyperbola

747

(15)

Rotation of Axes; General Form of a Conic

762

(9)

Polar Equations of Conics

771

(7)

Plane Curves and Parametric Equations

778

(21)

Chapter Review

793

(4)

Chapter Projects

797

(1)

Cumulative Review

798

(1)

Systems of Equations and Inequalities

799

(106)

Systems of Linear Equations: Substitution and Elimination

800

(15)

Systems of Linear Equations: Matrices

815

(17)

Systems of Linear Equations: Determinants

832

(12)

Matrix Algebra

844

(18)

Partial Fraction Decomposition

862

(7)

Systems of Nonlinear Equations

869

(12)

Systems of Inequalities

881

(9)

Linear Programming

890

(15)

Chapter Review

898

(5)

Chapter Projects

903

(1)

Cumulative Review

904

(1)

Sequences; Induction; the Binomial Theorem

905

(50)

Sequences

906

(15)

Arithmetic Sequences

921

(6)

Geometric Sequences; Geometric Series

927

(10)

Mathematical Induction

937

(4)

The Binomial Theorem

941

(14)

Chapter Review

949

(3)

Chapter Projects

952

(2)

Cumulative Review

954

(1)

Counting and Probability

955

(44)

Sets and Counting

956

(6)

Permutations and Combinations

962

(11)

Probability of Equally Likely Outcomes

973

(14)

Obtaining Probabilities from Data

987

(12)

Chapter Review

993

(4)

Chapter Projects

997

(1)

Cumulative Review

998

(1)

A Preview of Calculus: The Limit, Derivative, and Integral of a Function

999

Finding Limits Using Tables and Graphs

1000

(5)

Algebra Techniques for Finding Limits

1005

(7)

One-sided Limits; Continuous Functions

1012

(7)

The Tangent Problem; the Derivative

1019

(9)

The Area Problem; the Integral

1028

Chapter Review

1036

(3)

Chapter Projects

1039

REVIEW

(1)

Algebra Review

(10)

Geometry Review

(5)

Polynomials

(12)

Rational Expressions

(9)

Polynomial Division; Synthetic Division

(6)

nth Roots; Rational Exponents

Answers

(1)

Index

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Algebra and Trigonometry : Graphing, Data, and Analysis

Algebra and Trigonometry : Graphing, Data, and Analysis

9780131404533

0131404539

Table of Contents

Supplemental Materials

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Amazon no longer offers textbook rentals. We do!

Algebra and Trigonometry : Graphing, Data, and Analysis

Algebra and Trigonometry : Graphing, Data, and Analysis

9780131404533

0131404539

Table of Contents

Supplemental Materials

Write a Review

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