Precalculus : with CalcChat and CalcView

Larson's PRECALCULUS is known for sound, consistently structured explanations of mathematical concepts and exercises to expertly prepare students for calculus. With the Tenth Edition, the author continues to revolutionize the way students learn by incorporating more real-world applications and innovative technology. How Do You See It? exercises let students practice applying concepts. Summarize and Checkpoint questions reinforce understanding of skills. Enjoy! Cover 1 Contents 7 Preface 11 Instructor Resources 14 Student Resources 15 Acknowledgments 16 Ch 1: Functions and Their Graphs 19 1.1 Rectangular Coordinates 20 1.2 Graphs of Equations 29 1.3 Linear Equations in Two Variables 40 1.4 Functions 53 1.5 Analyzing Graphs of Functions 67 1.6 A Library of Parent Functions 78 1.7 Transformations of Functions 85 1.8 Combinations of Functions: Composite Functions 94 1.9 Inverse Functions 102 1.10 Mathematical Modeling and Variation 111 Chapter Summary 122 Review Exercises 124 Chapter Test 127 Proofs in Mathematics 128 P.S. Problem Solving 129 Ch 2: Polynomial and Rational Functions 131 2.1 Quadratic Functions and Models 132 2.2 Polynomial Functions of Higher Degree 141 2.3 Polynomial and Synthetic Division 154 2.4 Complex Numbers 163 2.5 Zeros of Polynomial Functions 170 2.6 Rational Functions 184 2.7 Nonlinear Inequalities 196 Chapter Summary 206 Review Exercises 208 Chapter Test 210 Proofs in Mathematics 211 P.S. Problem Solving 213 Ch 3: Exponential and Logarithmic Functions 215 3.1 Exponential Functions and Their Graphs 216 3.2 Logarithmic Functions and Their Graphs 227 3.3 Properties of Logarithms 237 3.4 Exponential and Logarithmic Equations 244 3.5 Exponential and Logarithmic Models 254 Chapter Summary 266 Review Exercises 268 Chapter Test 271 Cumulative Test for Chapters 1-3 272 Proofs in Mathematics 274 P.S. Problem Solving 275 Ch 4: Trigonometry 277 4.1 Radian and Degree Measure 278 4.2 Trigonometric Functions: The Unit Circle 288 4.3 Right Triangle Trigonometry 295 4.4 Trigonometric Functions of Any Angle 306 4.5 Graphs of Sine and Cosine Functions 315 4.6 Graphs of Other Trigonometric Functions 326 4.7 Inverse Trigonometric Functions 336 4.8 Applications and Models 346 Chapter Summary 356 Review Exercises 358 Chapter Test 361 Proofs in Mathematics 362 P.S. Problem Solving 363 Ch 5: Analytic Trigonometry 365 5.1 Using Fundamental Identities 366 5.2 Verifying Trigonometric Identities 373 5.3 Solving Trigonometric Equations 380 5.4 Sum and Difference Formulas 392 5.5 Multiple-Angle and Product-to-Sum Formulas 399 Chapter Summary 408 Review Exercises 410 Chapter Test 412 Proofs in Mathematics 413 P.S. Problem Solving 415 Ch 6: Additional Topics in Trigonometry 417 6.1 Law of Sines 418 6.2 Law of Cosines 427 6.3 Vectors in the Plane 434 6.4 Vectors and Dot Products 447 6.5 The Complex Plane 456 6.6 Trigonometric Form of a Complex Number 463 Chapter Summary 472 Review Exercises 474 Chapter Test 477 Cumulative Test for Chapters 4-6 478 Proofs in Mathematics 480 P.S. Problem Solving 483 Ch 7: Systems of Equations and Inequalities 485 7.1 Linear and Nonlinear Systems of Equations 486 7.2 Two-Variable Linear Systems 496 7.3 Multivariable Linear Systems 508 7.4 Partial Fractions 520 7.5 Systems of Inequalities 528 7.6 Linear Programming 538 Chapter Summary 547 Review Exercises 549 Chapter Test 553 Proofs in Mathematics 554 P.S. Problem Solving 555 Ch 8: Matrices and Determinants 557 8.1 Matrices and Systems of Equations 558 8.2 Operations with Matrices 571 8.3 The Inverse of a Square Matrix 586 8.4 The Determinant of a Square Matrix 595 8.5 Applications of Matrices and Determinants 603 Chapter Summary 616 Review Exercises 618 Chapter Test 622 Proofs in Mathematics 623 P.S. Problem Solving 625 Ch 9: Sequences, Series, and Probability 627 9.1 Sequences and Series 628 9.2 Arithmetic Sequences and Partial Sums 638 9.3 Geometric Sequences and Series 647 9.4 Mathematical Induction 656 9.5 The Binomial Theorem 666 9.6 Counting Principles 674 9.7 Probability 684 Chapter Summary 696 Review Exercises 698 Chapter Test 701 Cumulative Test for Chapters 7-9 702 Proofs in Mathematics 704 P.S. Problem Solving 707 Ch 10: Topics in Analytic Geometry 709 10.1 Lines 710 10.2 Introduction to Conics: Parabolas 717 10.3 Ellipses 726 10.4 Hyperbolas 735 10.5 Rotation of Conics 745 10.6 Parametric Equations 753 10.7 Polar Coordinates 763 10.8 Graphs of Polar Equations 769 10.9 Polar Equations of Conics 777 Chapter Summary 784 Review Exercises 786 Chapter Test 789 Proofs in Mathematics 790 P.S. Problem Solving 793 Appendix A: Review of Fundamental Concepts of Algebra 795 Answers to Odd-Numbered Exercises and Tests 869 Index 973