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Precalculus : Functions and Graphs

by: Demana, Franklin; Waits, Bert K.; Foley, Gregory D.; Kennedy, Daniel

Precalculus : Functions and Graphs

by: Demana, Franklin; Waits, Bert K.; Foley, Gregory D.; Kennedy, Daniel

ISBN 13:
9780321131966
ISBN 10:
0321131967
Edition: 5th
Format: Hardcover
Copyright: 01/01/2004
Publisher: Addison Wesley
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Summary

This text, intended for a graphing calculator required precalculus course, shows students when and how to use concepts, and promotes real understanding not just rote memorization. In addition, the graphing calculator is used as a tool to help explain ideas rather than merely to find answers. The book reflects AMATYC, MAA, and NCTM guidelines, and makes use of real world data in presenting a balanced algebraic and graphical approach to understanding precalculus concepts. The result is a thorough preparation for the calculus course.

CHAPTER P Prerequisites

P.1 Real Numbers

(11)

P.2 Cartesian Coordinate System

(10)

P.3 Linear Equations and Inequalities

(7)

P.4 Lines In the Plane

(14)

P.5 Solving Equations Graphically, Numerically, and Algebraically

(9)

P.6 Solving Inequalities Algebraically and Graphically

(2)

Key Ideas

(2)

Review Exercises

(7)

CHAPTER 1 Functions and Graphs

1.1 Modeling and Equation Solving

(17)

1.2 Functions and Their Properties

(20)

1.3 Twelve Basic Functions

101

(12)

1.4 Building Functions from Functions

113

(18)

1.5 Graphical Transformations

131

(11)

1.6 Modeling with Functions

142

(14)

Math at Work

156

(1)

Key Ideas

156

(1)

Review Exercises

157

(13)

Chapter Project

170

CHAPTER 2 Polynomial, Power, and Rational Functions

2.1 Linear and Quadratic Functions and Modeling

162

(19)

2.2 Power Functions with Modeling

181

(12)

2.3 Polynomial Functions of Higher Degree with Modeling

193

(14)

2.4 Real Zeros of Polynomial Functions

207

(14)

2.5 Complex Numbers

221

(8)

2.6 Complex Zeros and the Fundamental Theorem of Algebra

229

(8)

2.7 Graphs of Rational Functions

237

(12)

2.8 Solving Equations in One Variable

249

(9)

2.9 Solving Inequalities in One Variable

258

(10)

Math at Work

268

(1)

Key Ideas

269

(1)

Review Exercises

270

(4)

Chapter Project

274

(2)

CHAPTER 3 Exponential, Logistic, and Logarithmic Functions

3.1 Exponential and Logistic Functions

276

(14)

3.2 Exponential and Logistic Modeling

290

(10)

3.3 Logarithmic Functions and Their Graphs

300

(10)

3.4 Properties of Logarithmic Functions

310

(10)

3.5 Equation Solving and Modeling

320

(14)

3.6 Mathematics of Finance

334

(11)

Key Ideas

345

(1)

Review Exercises

346

(4)

Chapter Project

350

(2)

CHAPTER 4 Trigonometric Functions

4.1 Angles and Their Measures

352

(10)

4.2 Trigonometric Functions of Acute Angles

362

(10)

4.3 Trigonometry Extended: The Circular Functions

372

(14)

4.4 Graphs of Sine and Cosine: Sinusoids

386

(12)

4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant

398

(9)

4.6 Graphs of Composite Trigonometric Functions

407

(9)

4.7 Inverse Trigonometric Functions

416

(10)

4.8 Solving Problems with Trigonometry

426

(12)

Key Ideas

438

(1)

Review Exercises

439

(3)

Chapter Project

442

(2)

CHAPTER 5 Analytic Trigonometry

5.1 Fundamental Identities

444

(10)

5.2 Proving Trigonometric Identities

454

(9)

5.3 Sum and Difference Identities

463

(8)

5.4 Multiple-Angle Identities

471

(7)

5.5 The Law of SInes

478

(9)

5.6 The Law of Cosines

487

(9)

Math at Work

496

(1)

Key Ideas

497

(1)

Review Exercises

497

(3)

Chapter Project

500

(2)

CHAPTER 6 Vectors, Parametric Equations, and Polar Equations

6.1 Vectors in the Plane

502

(12)

6.2 Dot Product of Vectors

514

(8)

6.3 Parametric Equations and Motion

522

(12)

6.4 Polar Coordinates

534

(7)

6.5 Graphs of Polar Equations

541

(9)

6.6 De Moivre's Theorem and nth Roots

550

(10)

Key Ideas

560

(1)

Review Exercises

561

(3)

Chapter Project

564

(2)

CHAPTER 7 Systems and Matrices

7.1 Solving Systems of Two Equations

566

(11)

7.2 Matrix Algebra

577

(15)

7.3 Multivariate Linear Systems and Row Operations

592

(14)

7.4 Partial Fractions

606

(9)

7.5 Systems of Inequalities in Two Variables

615

(8)

Math at Work

623

(1)

Key Ideas

624

(1)

Review Exercises

624

(4)

Chapter Project

628

(2)

CHAPTER 8 Analytic Geometry in Two and Three Dimensions

8.1 Conic Sections and Parabolas

630

(12)

8.2 Ellipses

642

(12)

8.3 Hyperbolas

654

(12)

8.4 Translation and Rotation of Axes

666

(10)

8.5 Polar Equations of Conics

676

(10)

8.6 Three-Dimensional Cartesian Coordinate System

686

(11)

Key Ideas

697

(1)

Review Exercises

697

(3)

Chapter Project

700

(2)

CHAPTER 9 Discrete Mathematics

9.1 Basic Combinatorics

702

(11)

9.2 The Binomial Theorem

713

(6)

9.3 Probability

719

(14)

9.4 Sequences and Series

733

(17)

9.5 Mathematical Induction

750

(8)

9.6 Statistics and Data (Graphical)

758

(13)

9.7 Statistics and Data (Algebraic)

771

(16)

Math at Work

787

(1)

Key Ideas

787

(1)

Review Exercises

788

(4)

Chapter Project

792

(2)

CHAPTER 10 An Introduction to Calculus: Limits, Derivatives, and Integrals

10.1 Limits and Motion: The Tangent Problem

794

(12)

10.2 Limits and Motion: The Area Problem

806

(9)

10.3 More on Limits

815

(14)

10.4 Numerical Derivatives and Integrals

829

(11)

Key Ideas

840

(1)

Review Exercises

840

(2)

Chapter Project

842

(1)

A.1 Radicals and Rational Exponents

843

(5)

A.2 Polynomials and Factoring

848

(8)

A.3 Fractional Expressions

856

(5)

B.1 Formulas from Algebra

861

(1)

B.2 Formulas from Geometry

862

(1)

B.3 Formulas from Trigonometry

863

(1)

B.4 Formulas from Analytic Geometry

864

(2)

B.5 Gallery of Basic Functions

866

(1)

C.1 Logic: An Introduction

867

(6)

C.2 Conditionals and Biconditionals

873

(8)

Glossary

881

(18)

Selected Answers

899

(108)

Applications Index

1007

(4)

Index

1011

Amazon no longer offers textbook rentals. We do!

Precalculus : Functions and Graphs

Precalculus : Functions and Graphs

9780321131966

0321131967

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Precalculus : Functions and Graphs

Precalculus : Functions and Graphs

9780321131966

0321131967

Summary

Table of Contents

Supplemental Materials

Write a Review

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