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College Algebra Essentials 7e Contents The Essentials Edition xi Preface to the Instructor xii List of Applications xix Photo Credits xxiiiChapter R Review 1 R.1 Real Numbers 2 R.2 Algebra Review 17 R.3 Geometry Review 29 R.4 Poly ... celý popis
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College Algebra Essentials 7e Contents The Essentials Edition xi Preface to the Instructor xii List of Applications xix Photo Credits xxiiiChapter R Review 1 R.1 Real Numbers 2 R.2 Algebra Review 17 R.3 Geometry Review 29 R.4 Polynomials 35 R.5 Factoring Polynomials R.6 Polynomial Division; Synthetic Division 52 R.7 Rational Expression 58 R.8 nth Roots: Rational Exponents 70 Chapter Review 77 Chapter 1 Equations and Inequalities 83 1.1 Linear Equations 841.2 Quadratic Equations 961.3 Quadratic Equations in the Complex Number System 1091.4 Radical Equations: Equations Quadratic in Form; Factorable Equations 1181.5 Solving Inequalities 1251.6 Equations and Inequalities Involving Absolute Value 1361.7 Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs 141 Chapter Review 151 Chapter Projects 155 Chapter 2 Graphs 157 2.1 Rectangular Coordinates 158 2.2 Graphs of Equations 165 2.3 Circles 175 2.4 Lines 181 2.5 Parallel and Perpendicular Lines 194 2.6 Scatter Diagrams; Linear Curve Fitting 199 2.7 Variation 206 Chapter Review 212 Chapter Projects 216 Cumulative Review 216 Chapter 3 Functions and Their Graphs 217 3.1 Functions 218 3.2 The Graph of a Function 231 3.3 Properties of Functions 240 3.4 Library of Functions; Piecewise-defined Functions 251 3.5 Graphing Techniques: Transformations 262 3.6 Mathematical Models: Constructing Functions 275 Chapter Review 283 Chapter Projects 289 Cumulative Review 290 Chapter 4 Polynomial and Rational Functions 291 4.1 Quadratic Functions and Models 292 4.2 Polynomial Functions 312 4.3 Rational Functions I 330 4.4 Rational Functions II: Analyzing Graphs 341 4.5 Polynomial and Rational Inequalities 356 4.6 The Real Zeros of a Polynomial Function 362 4.7 Complex Zeroes: Fundamental Theorem of Algebra 377 Chapter Review 383 Chapter Projects 388 Cumulative Review 389 Chapter 5 Exponential and Logarithmic Functions 391 5.1 Composite Functions 392 5.2 Inverse Functions 399 5.3 Exponential Functions 412 5.4 Logarithmic Functions 428 5.5 Properties of Logarithms 441 5.6 Logarithmic and Exponential Equations 450 5.7 Compound Interest 455 5.8 Exponential Growth and Decay: Newton's Law: Logistic Models 465 5.9 Fitting Data to Exponential, Logarithmic, and Logistic Functions 474 Chapter Review 482 Chapter Projects 488 Cumulative Review 489 Chapter 7 Systems of Equations and Inequalities 493 7.1 Systems of Linear Equations: Substitution and Elimination 494 Chapter 8 Sequences; Induction; the Binomial Theorem 511 8.1 Sequences 512 8.2 Arithmetic Sequences 521 8.3 Geometric Sequences; Geometric Series 527 Appendix Graphing Utilities 543 1 The Viewing Rectangle 543 2 Using a Graphing Utility to Graph Equations 545 3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry 549 4 Using a Graphing Utility to Solve Equations 551 5 Square Screens 553 Answers A1 Index I1
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