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Precalculus : Functions and Graphs

by: Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

Precalculus : Functions and Graphs

by: Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.

ISBN 13:
9780070063419
ISBN 10:
0070063419
Edition: 4th
Format: Hardcover
Copyright: 07/30/1998
Publisher: McGraw-Hill Higher Education
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Preface

Chapter Dependencies

xiv

To the Student

Equations and Inequalities

(96)

Linear Equations and Applications

(15)

Systems of Linear Equations and Applications

(9)

Linear Inequalities

(11)

Absolute Value in Equations and Inequalities

(10)

Complex Numbers

(11)

Quadratic Equations and Applications

(15)

Equations Reducible to Quadratic Form

(8)

Polynomial and Rational Inequalities

(16)

Group Activity: Rates of Change

(1)

Review

(6)

Graphs and Functions

(114)

Basic Tools; Circles

(17)

Straight Lines

115

(16)

Functions

131

(16)

Graphing Functions

147

(18)

Combining Functions

165

(17)

Inverse Functions

182

(29)

Group Activity: Mathematical Modeling in Business

198

(2)

Review

200

(7)

1 & 2 Cumulative Review Exercises

207

(4)

Polynomial and Rational Functions

211

(70)

Polynomial Functions and Graphs

213

(12)

Finding Rational Zeros of Polynomials

225

(13)

Approximating Real Zeros of Polynomials

238

(12)

Rational Functions

250

(15)

Partial Fractions

265

(16)

Group Activity: Interpolating Polynomials

273

(2)

Review

275

(6)

Exponential and Logarithmic Functions

281

(58)

Exponential Functions

282

(11)

The Exponential Function with Base e

293

(11)

Logarithmic Functions

304

(9)

Common and Natural Logarithms

313

(10)

Exponential and Logarithmic Equations

323

(16)

Group Activity: Growth of Increasing Functions

333

(1)

Review

333

(3)

3 & 4 Cumulative Review Exercises

336

(3)

Trigonometric Functions

339

(112)

The Wrapping Function

340

(8)

Circular Functions

348

(9)

Angles and Their Measure

357

(9)

Trigonometric Functions

366

(17)

Solving Right Triangles

383

(8)

Graphing Basic Trigonometric Functions

391

(12)

Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C)

403

(16)

Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions

419

(8)

Inverse Trigonometric Functions

427

(24)

Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer

440

(1)

Review

441

(10)

Trigonometric Identities and Conditional Equations

451

(54)

Basic Identities and Their Use

452

(9)

Sum, Difference, and Cofunction Identities

461

(10)

Double-Angle and Half-Angle Identities

471

(9)

Product-Sum and Sum-Product Identities

480

(5)

Trigonometric Equations

485

(20)

Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)---A Harmonic Analysis Tool

497

(2)

Review

499

(6)

Additional Topics in Trigonometry

505

(80)

Law of Sines

506

(10)

Law of Cosines

516

(8)

Geometric Vectors

524

(7)

Algebraic Vectors

531

(10)

Polar Coordinates and Graphs

541

(14)

Complex Numbers in Rectangular and Polar Forms

555

(8)

De Moivre's Theorem

563

(22)

Group Activity: Conic Sections and Planetary Orbits

569

(3)

Review

572

(7)

5, 6, & 7 Cumulative Review Exercises

579

(6)

Systems of Equations and Inequalities

585

(74)

Systems of Linear Equations and Augmented Matrices

586

(18)

Gauss-Jordan Elimination

604

(14)

Systems Involving Second-Degree Equations

618

(9)

Systems of Linear Inequalities in Two Variables

627

(13)

Linear Programming

640

(19)

Group Activity: Modeling with Systems of Equations

651

(2)

Review

653

(6)

Matrices and Determinants

659

(64)

Matrices: Basic Operations

660

(14)

Inverse of a Square Matrix

674

(10)

Matrix Equations and Systems of Linear Equations

684

(10)

Determinants

694

(8)

Properties of Determinants

702

(7)

Cramer's Rule

709

(14)

Group Activity: Using Matrices to Find Cost, Revenue, and Profit

714

(1)

Review

715

(5)

8 & 9 Cumulative Review Exercises

720

(3)

Sequences and Series

723

(54)

Sequences and Series

724

(8)

Mathematical Induction

732

(8)

Arithmetic and Geometric Sequences

740

(13)

Binomial Formula

753

(8)

Multiplication Principle, Permutations, and Combinations

761

(16)

Group Activity: Sequences Specified by Recursion Formulas

773

(1)

Review

773

(4)

Additional Topics in Analytic Geometry

777

Conic Sections; Parabola

778

(10)

Ellipse

788

(11)

Hyperbola

799

(12)

Translation of Axes

811

(10)

Parametric Equations

821

Group Activity: Focal Chords

828

(1)

Review

829

(6)

10 & 11 Cumulative Review Exercises

835

Appendix A Basic Algebraic Operations

(72)

A-1 Algebra and Real Numbers

(10)

A-2 Polynomials: Basic Operations

(11)

A-3 Polynomials: Factoring

(10)

A-4 Rational Expressions: Basic Operations

(9)

A-5 Integer Exponents

(9)

A-6 Rational Exponents

(6)

A-7 Radicals

(16)

Appendix A Group Activity: Rational Number Representations

(1)

Appendix A Review

(6)

Appendix B Significant Digits

(3)

Appendix C Geometric Formulas

(3)

Answers

Applications Index

(2)

Subject Index

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Precalculus : Functions and Graphs

Precalculus : Functions and Graphs

9780070063419

0070063419

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Precalculus : Functions and Graphs

Precalculus : Functions and Graphs

9780070063419

0070063419

Table of Contents

Supplemental Materials

Write a Review

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