9780840068576

Precalculus Functions and Graphs

Earl W. Swokowski, Jeffery A. Cole

12th Edition

Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this book popular among students year after year. This latest edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains these features. The problems have been consistently praised for being at just the right level for p

2.1

Rectangular Coordinate System

Exercises

p.88

2.2

Graphs of Equations

Exercises

p.102

2.3

Lines

Exercises

p.116

2.4

Definition of Function

Exercises

p.131

2.5

Graphs of Functions

Exercises

p.147

2.6

Quadratic Functions

Exercises

p.160

2.7

Operations on Functions

Exercises

p.171

Review Exercises

p.174

Discussion Exercises

p.180

Chapter Test

p.181

3.1

Polynomial Functions of Degree Greater Than 2

Exercises

p.190

3.2

Properties of Division

Exercises

p.199

3.3

Zeros of Polynomials

Exercises

p.210

3.4

Complex and Rational Zeros of Polynomials

Exercises

p.219

3.5

Rational Functions

Exercises

p.234

3.6

Variation

Exercises

p.241

Review Exercises

p.244

Discussion Exercises

p.246

Chapter Test

p.247

4.1

Inverse Functions

Exercises

p.258

4.2

Exponential Functions

Exercises

p.269

4.3

The Natural Exponential Functions

Exercises

p.280

4.4

Logarithmic Functions

Exercises

p.293

4.5

Properties of Logarithms

Exercises

p.303

4.6

Exponential and Logarithmic Equations

Exercises

p.313

Review Exercises

p.316

Discussion Exercises

p.319

Chapter Test

p.322

5.1

Angles

Exercises

p.331

5.2

Trigonometric Functions of Angles

Exercises

p.346

5.3

Trigonometric Functions of Real Numbers

Exercises

p.363

5.4

Values of the Trigonometric Functions

Exercises

p.372

5.5

Trigonometric Graphs

Exercises

p.382

5.6

Additional Trigonometric Graphs

Exercises

p.391

5.7

Applied Problems

Exercises

p.399

Review Exercises

p.405

Discussion Exercises

p.411

Chapter Test

p.412

6.1

Verifying Trigonometric Identities

Exercises

p.420

6.2

Trigonometric Equations

Exercises

p.432

6.3

The Addition and Subtraction Formulas

Exercises

p.443

6.4

Multiple-Angle Formulas

Exercises

p.452

6.5

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

Exercises

p.459

6.6

The Inverse Trigonometric Functions

Exercises

p.471

Review Exercises

p.475

Discussion Exercises

p.477

Chapter Test

p.479

7.1

The Law of Sines

Exercises

p.488

7.2

The Law of Cosines

Exercises

p.497

7.3

Vectors

Exercises

p.510

7.4

The Dot Product

Exercises

p.521

7.5

Trigonometric Form for Complex Numbers

Exercises

p.528

7.6

De Moivre's Theorem and nth Roots of Complex Numbers

Exercises

p.535

Review Exercises

p.535

Discussion Exercises

p.538

Chapter Test

p.540

8.1

Systems of Equations

Exercises

p.549

8.2

Systems of Linear Equations in Two Variables

Exercises

p.559

8.3

Systems of Inequalities

Exercises

p.567

8.4

Linear Programming

Exercises

p.575

8.5

Systems of Linear Equations in More Than Two Variables

Exercises

p.590

8.6

The Algebra of Matrices

Exercises

p.599

8.7

The Inverse of a Matrix

Exercises

p.605

8.8

Determinants

Exercises

p.612

8.9

Properties of Determinants

Exercises

p.619

8.10

Partial Fractions

Exercises

p.626

Review Exercises

p.627

Discussion Exercises

p.630

Chapter Test

p.632

9.1

Infinite Sequences and Summation Notation

Exercises

p.647

9.2

Arithmetic Sequences

Exercises

p.654

9.3

Geometric Sequences

Exercises

p.662

9.4

Mathematical Induction

Exercises

p.671

9.5

The Binomial Theorem

Exercises

p.679

9.6

Permutations

Exercises

p.685

9.7

Distinguishable Permutations and Combinations

Exercises

p.692

9.8

Probability

Exercises

p.704

Review Exercises

p.709

Discussion Exercises

p.711

Chapter Test

p.713

10.1

Parabolas

Exercises

p.722

10.2

Ellipses

Exercises

p.734

10.3

Hyperbolas

Exercises

p.746

10.4

Plane Curves and Parametric Equations

Exercises

p.759

10.5

Polar Coordinates

Exercises

p.775

10.6

Polar Equations of Conics

Exercises

p.781

Review Exercises

p.782

Discussion Exercises

p.784

Chapter Test

p.786