College algebra and trigonometry

INDICE: About the Author Preface to the Instructor Acknowledgments Preface to the Student 1 The Real Numbers 1.1 The Real Line Construction of the Real Line Is Every Real Number Rational? Problems 1.2 Algebra of the Real Numbers Commutativity and Associativity The Order of Algebraic Operations The Distributive Property Additive Inverses and Subtraction Multiplicative Inverses and the Algebra of Fractions Symbolic Calculators Exercises, Problems, and Worked-out Solutions 1.3 Inequalities Positive and Negative Numbers Lesser and Greater Intervals Absolute Value Exercises, Problems, and Worked-out Solutions Chapter Summary and Chapter Review Questions 2 Combining Algebra and Geometry 2.1 The Coordinate Plane Coordinates Graphs of Equations Distance Between Two Points Length, Perimeter, and Circumference Exercises, Problems, and Worked-out Solutions 2.2 Lines Slope The Equation of a Line Parallel Lines Perpendicular Lines Midpoints Exercises, Problems, and Worked-out Solutions 2.3 Quadratic Expressions and Conic Sections Completing the Square The Quadratic Formula Circles Ellipses Parabolas Hyperbolas Exercises, Problems, and Worked-out Solutions 2.4 Area Squares, Rectangles, and Parallelograms Triangles and Trapezoids StretchingCircles and Ellipses Exercises, Problems, and Worked-out Solutions Chapter Summary and Chapter Review Questions 3 Functions and Their Graphs 3.1 Functions Definition and Examples The Graph of a Function The Domain of a Function The Range of a Function Functions via Tables Exercises, Problems, and Worked-out Solutions 3.2 Function Transformations and Graphs Vertical Transformations: Shifting, Stretching, and Flipping Horizontal Transformations: Shifting, Stretching, Flipping Combinations of Vertical Function Transformations Even Functions Odd Functions Exercises, Problems, and Worked-out Solutions 3.3 Composition of Functions Combining Two Functions Definition of Composition Order Matters in Composition Decomposing Functions Composing More than Two Functions Function Transformations as Compositions Exercises, Problems, and Worked-out Solutions 3.4 Inverse Functions The Inverse Problem One-to-one Functions The Definition ofan Inverse Function The Domain and Range of an Inverse Function The Composition of a Function and Its Inverse Comments about Notation Exercises, Problems, and Worked-out Solutions 3.5 A Graphical Approach to Inverse Functions The Graph of an Inverse Function Graphical Interpretation of One-to-One Increasing and Decreasing Functions Inverse Functions via Tables Exercises, Problems, and Worked-out Solutions Chapter Summary and Chapter Review Questions 4 Polynomial and Rational Functions 4.1 Integer Exponents Positive Integer Exponents Properties of Exponents Defining x0 Negative Integer Exponents Manipulations with Exponents

• ISBN: 978-0-470-47081-7
• Editorial: John Wiley & Sons
• Encuadernacion: Rústica
• Páginas: 784
• Fecha Publicación: 03/01/2011
• Nº Volúmenes: 1
• Idioma: Inglés