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Precalculus: Functions and Graphs
ISBN: 9780072368710 | 0072368713
Edition: 5thFormat: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 9/28/2000
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| Preface | p. ix |
| Chapter Dependencies | p. xx |
| To the Student | p. xxiv |
| Equations and Inequalities | p. 1 |
| Linear Equations and Applications | p. 2 |
| Systems of Linear Equations and Applications | p. 17 |
| Linear Inequalities | p. 26 |
| Absolute Value in Equations and Inequalities | p. 37 |
| Complex Numbers | p. 47 |
| Quadratic Equations and A... MORE | p. 58 |
| Equations Reducible to Quadratic Form | p. 73 |
| Polynomial and Rational Inequalities | p. 81 |
| Chapter 1 Group Activity: Rates of Change | p. 90 |
| Chapter 1 Review | p. 91 |
| Graphs and Functions | p. 97 |
| Basic Tools; Circles | p. 98 |
| Straight Lines | p. 115 |
| Functions | p. 131 |
| Graphing Functions | p. 147 |
| Combining Functions | p. 165 |
| Inverse Functions | p. 182 |
| Chapter 2 Group Activity: Mathematical Modeling in Business | p. 198 |
| Chapter 2 Review | p. 200 |
| 1 and 2 Cumulative Review Exercise | p. 207 |
| Polynomial and Rational Functions | p. 211 |
| Polynomial Functions and Graphs | p. 213 |
| Finding Rational Zeros of Polynomials | p. 225 |
| Approximating Real Zeros of Polynomials | p. 238 |
| Rational Functions | p. 250 |
| Partial Fractions | p. 265 |
| Chapter 3 Group Activity: Interpolating Polynomials | p. 273 |
| Chapter 3 Review | p. 275 |
| Exponential and Logarithmic Functions | p. 281 |
| Exponential Functions | p. 282 |
| The Exponential Function with Base e | p. 293 |
| Logarithmic Functions | p. 304 |
| Common and Natural Logarithms | p. 313 |
| Exponential and Logarithmic Equations | p. 323 |
| Chapter 4 Group Activity: Growth of Increasing Functions | p. 333 |
| Chapter 4 Review | p. 333 |
| 3 and 4 Cumulative Review Exercise | p. 336 |
| Trigonometric Functions | p. 339 |
| The Wrapping Function | p. 340 |
| Circular Functions | p. 348 |
| Angles and Their Measure | p. 357 |
| Trigonometric Functions | p. 366 |
| Solving Right Triangles | p. 383 |
| Graphing Basic Trigonometric Functions | p. 391 |
| Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C) | p. 403 |
| Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions | p. 419 |
| Inverse Trigonometric Functions | p. 427 |
| Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer | p. 440 |
| Chapter 5 Review | p. 441 |
| Trigonometric Identities and Conditional Equations | p. 451 |
| Basic Identities and Their Use | p. 452 |
| Sum, Difference, and Cofunction Identities | p. 461 |
| Double-Angle and Half-Angle Identities | p. 471 |
| Product-Sum and Sum-Product Identities | p. 480 |
| Trigonometric Equations | p. 485 |
| Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)--A Harmonic Analysis Tool | p. 497 |
| Chapter 6 Review | p. 499 |
| Additional Topics in Trigonometry | p. 505 |
| Law of Sines | p. 506 |
| Law of Cosines | p. 516 |
| Geometric Vectors | p. 524 |
| Algebraic Vectors | p. 531 |
| Polar Coordinates and Graphs | p. 541 |
| Complex Numbers in Rectangular and Polar Forms | p. 555 |
| De Moivre's Theorem | p. 563 |
| Chapter 7 Group Activity: Conic Sections and Planetary Orbits | p. 569 |
| Chapter 7 Review | p. 572 |
| 5, 6, and 7 Cumulative Review Exercise | p. 579 |
| Systems of Equations and Inequalities | p. 585 |
| Systems of Linear Equations and Augmented Matrices | p. 586 |
| Gauss--Jordan Elimination | p. 604 |
| Systems Involving Second-Degree Equations | p. 618 |
| Systems of Linear Inequalities in Two Variables | p. 627 |
| Linear Programming | p. 640 |
| Chapter 8 Group Activity: Modeling with Systems of Equations | p. 651 |
| Chapter 8 Review | p. 653 |
| Matrices and Determinants | p. 659 |
| Matrices: Basic Operations | p. 660 |
| Inverse of a Square Matrix | p. 674 |
| Matrix Equations and Systems of Linear Equations | p. 684 |
| Determinants | p. 694 |
| Properties of Determinants | p. 702 |
| Cramer's Rule | p. 709 |
| Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit | p. 714 |
| Chapter 9 Review | p. 715 |
| 8 and 9 Cumulative Review Exercise | p. 720 |
| Sequences and Series | p. 723 |
| Sequences and Series | p. 724 |
| Mathematical Induction | p. 732 |
| Arithmetic and Geometric Sequences | p. 740 |
| Binomial Formula | p. 753 |
| Multiplication Principle, Permutations, and Combinations | p. 761 |
| Chapter 10 Group Activity: Sequences Specified by Recursion Formulas | p. 773 |
| Chapter 10 Review | p. 773 |
| Additional Topics in Analytic Geometry | p. 777 |
| Conic Sections; Parabola | p. 778 |
| Ellipse | p. 788 |
| Hyperbola | p. 799 |
| Translation of Axes | p. 811 |
| Parametric Equations | p. 821 |
| Chapter 11 Group Activity: Focal Chords | p. 828 |
| Chapter 11 Review | p. 829 |
| 10 and 11 Cumulative Review Exercise | p. 835 |
| Basic Algebraic Operations | p. 1 |
| Algebra and Real Numbers | p. 2 |
| Polynomials: Basic Operations | p. 12 |
| Polynomials: Factoring | p. 23 |
| Rational Expressions: Basic Operations | p. 33 |
| Integer Exponents | p. 42 |
| Rational Exponents | p. 51 |
| Radicals | p. 57 |
| Appendix A Group Activity: Rational Number Representations | p. 67 |
| Appendix A Review | p. 67 |
| Significant Digits | p. 73 |
| Geometric Formulas | p. 76 |
| Answers | p. 79 |
| Applications Index | p. 1 |
| Subject Index | p. 3 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
