.

0 (hodnocen0 x )

BK

New York : McGraw-Hill, 1990

xvi, 579 s.

ISBN 0-07-003946-1

000041202

Preface xi // To the Student XV // PRELIMINARIES 1 // 1-1 Basic Concepts 2 // 1-2 Equality and Inequality 9 // 1-3 Real Number Properties 19 // 1-4 Addition and Subtraction 27 // 1-5 Multiplication, Division, and Order of Operations 36 // 1-6 Solving Equations 46 // 1-7 Chapter Review 57 // POLYNOMIALS AND FACTORING 65 // 2-1 Addition and Subtraction of Polynomials 66 // 2-2 Multiplication of Polynomials 75 // vii // viii // CONTENTS // 2-3 Factoring Out Common Factors; Factoring by Grouping 82 // 2-4 Factoring Second-Degree Polynomials 87 // 2-5 ac Test and Factoring (Optional) 94 // 2-6 More Factoring 99 // 2-7 Solving Equations by Factoring 106 // 2- 8 Chapter Review 109 // Chapter 3 ALGEBRAIC FRACTIONS 112 // 3- 1 Rational Expressions 113 // 3-2 Multiplication and Division 117 // 3-3 Addition and Subtraction 122 // 3-4 Quotients of Polynomials 128 // 3-5 Complex Fractions 134 // 3-6 Solving Equations 139 // 3- 7 Chapter Review 145 // Chapter 4 LINEAR EQUATIONS AND INEQUALITIES // IN ONE VARIABLE 149 // 4- 1 Solving Equations and Applications 150 // 4-2 Applications: Rate-Time and Miscellaneous Problems 159 // 4-3 Formulas and Literal Equations 171 // 4-4 Solving Inequalities 174 // 4-5 Absolute Value in Equations and Inequalities 183 // 4- 6 Chapter Review 190 // Chapter 5 EXPONENTS, RADICALS, AND COMPLEX NUMBERS 193 // 5- 1 Positive-Integer Exponents 194 // 5-2 Integer Exponents 199 // 5-3 Scientific Notation and Applications 207 // 5-4 Rational Exponents 212 // 5-5 Radical Forms and Rational Exponents 218 // 5-6 Changing and Simplifying Radical Expressions 221 // 5-7 Basic Operations on Radicals 229 // 5-8 Complex Numbers 236 // 5- 9 Chapter Review 243 // Chapter 6 SECOND-DEGREE EQUATIONS AND INEQUALITIES 249 // 6- 1 Solving Quadratic Equations by Square Roots and by Completing // the Square 250 // 6-2 The Quadratic Formula 258 // 6-3 Applications 265 //

6-4 Radical Equations and Other Equations Reducible to Quadratic Form 270 // CONTENTS // ix // 6-5 Nonlinear Inequalities 274 // 6- 6 Chapter Review 282 // Chapter 7 GRAPHING INVOLVING TWO VARIABLES 285 // 7- 1 Graphing Linear Equations 286 // 7-2 Slope and Equations of a Line 297 // 7-3 Graphing Linear Inequalities ?? // 7-4 Graphing Quadratic Polynomials 317 // 7-5 Conic Sections; Circles and Parabolas 328 // 7-6 Ellipses and Hyperbolas 33g // 7- 7 Chapter Review 347 // Chapter 8 SYSTEMS OF EQUATIONS AND INEQUALITIES 351 // 8- 1 Systems of Linear Equations in Two Variables 352 // 8-2 Application: Mixture Problems 358 // 8-3 Systems of Linear Equations in Three Variables 369 // 8-4 Systems of Equations and Matrices (Optional) 377 // 8-5 Systems of Linear Inequalities 336 // 8-6 Systems Involving Second-Degree Equations 391 // 8- 7 Chapter Review 3?? // Chapter 9 FUNCTIONS 400 // 9- 1 Functions 4QJ // 9-2 Function Notation 413 // 9-3 Graphing Polynomial Functions 419 // 9-4 Inverse Functions 426 // 9-5 Variation 433 // 9- 6 Chapter Review 44 // Chapter 10 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 451 // 10- 1 Exponential Functions 452 // 10-2 Logarithmic Functions 46q // 10-3 Properties of Logarithmic Functions 466 // 10-4 Logarithms to Various Bases 471 // 10-5 Exponential and Logarithmic Equations 478 // 10- 6 Chapter Review 434 // Chapter 11 SEQUENCES AND SERIES 488 // 11- 1 Sequences and Series 439 // 11-2 Arithmetic Sequences and Series 495 // 11-3 Geometric Sequences and Series 500 // 11-4 Binomial Formula 5q // 11-5 Chapter Review 511 // CONTENTS // Appendix A A Word Problem Technique 514 // ? Significant Digits 519 // C Determinants and Cramer’s Rule 521 // Tables 533 // Answers to Selected Problems 540 // Index 575