Precalculus Essentials

Precalculus Essentials 7e Contents The Essentials Edition xiii Preface to the Instructor xv List of Applications xxi Photo Credits xxv Chapter 1 Graphs 1 1.1 Rectangular Coordinates 2 1.2 Graph of Equations; Circles 9 1.3 Lines 22 1.4 Scatter Diagrams; Linear Curve Fitting 38 Chapter Review 45 Chapter Projects 48 Chapter 2 Functions and Their Graphs 49 2.1 Functions 50 2.2 The Graph of a Function 63 2.3 Properties of Functions 72 2.4 Library of Functions; Piecewise-defined Functions 83 2.5 Graphing Techniques: Transformations 94 2.6 Mathematical Models: Constructing Functions 107 Chapter Review 115 Chapter Projects 121 Cumulative Review 122 Chapter 3 Polynomial and Rational Functions 123 3.1 Quadratic Functions and Models 124 3.2 Polynomial Functions 144 3.3 Rational Functions I 162 3.4 Rational Functions II: Analyzing Graphs 173 3.5 Polynomial and Rational Inequalities 188 3.6 The Real Zeros of a Polynomial Function 194 3.7 Complex Zeros; Fundamental Theorem of Algebra 209 Chapter Review 215 Chapter Projects 220 Cumulative Review 221 Chapter 4 Exponential and Logarithmic Functions 223 4.1 Composite Functions 224 4.2 Inverse Functions 231 4.3 Exponential Functions 244 4.4 Logarithmic Functions 260 4.5 Properties of Logarithms 273 4.6 Logarithmic and Exponential Equations 282 4.7 Compound Interest 287 4.8 Exponential Growth and Decay; Newtonrs"s Law; Logistic Models 297 4.9 Fitting Data to Exponential, Logarithmic, and Logistic Functions 306 Chapter Review 314 Chapter Projects 320 Cumulative Review 321 Chapter 5 Trigonometric Functions 323 5.1 Angles and Their Measure 324 5.2 Trigonometric Functions: Unit Circle Approach 338 5.3 Properties of the Trigonometric Functions 355 5.4 Graphs of the Sine and Cosine Functions 369 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 386 5.6 Phase Shift; Sinusoidal Curve Fitting 393 Chapter Review 405 Chapter Projects 411 Cumulative Review 412 Chapter 6 Analytical Trigonometry 413 6.1 The Inverse Sine, Cosine, and Tangent Functions 414 6.2 The Inverse Trigonometric Functions (continued) 425 6.3 Trigonometric Identities 430 6.4 Sum and Difference Formulas 437 6.5 Double-angle and Half-angle Formulas 448 6.6 Product-to-Sum and Sum-to-Product Formulas 457 6.7 Trigonometric Equations I 461 6.8 Trigonometric Equations II 467 Chapter Review 475 Chapter Projects 479 Cumulative Review 480 Chapter 7 Applications of Trigonometric Functions 481 7.1 Right Triangle Trigonometry; Applications 482 7.2 The Law of Sines 494 7.3 The Law of Cosines 507 Chapter 8 Polar Coordinates; Vectors 515 8.1 Polar Coordinates 516 8.2 Polar Equations and Graphs 525 Chapter 9 Analytical Geometry 543 9.7 Plane Curves and Parametric Equations 544 Chapter 10 Systems of Equations and Inequalities 559 10.1 Systems of Linear Equations: Substitution and Elimination 560 Chapter 11 Sequences; Induction; The Binomial Theorem 577 11.1 Sequences 578 11.2 Arithmetic Sequences 5Sullivan, Michael is the author of 'Precalculus Essentials ', published 2004 under ISBN 9780131469839 and ISBN 0131469835.