Were you looking for the book with access to MyMathLab This product is the book alone, and does NOT come with access to MyMathLab. Buy the book and access card package to save money on this resource. Were you looking for the book with access to MyMathLab? This product is the book alone, and does NOT come with access to MyMathLab. Buy the book and access card package to save money on this resource. Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical. With the Fifth Edition, Blitzer takes student engagement to a whole new level. In addition to the multitude of exciting updates to the text and MyMathLab (R) course, new application-based MathTalk videos allow students to think about and understand the mathematical world in a fun, yet practical way. Assessment exercises allow instructors to assign the videos and check for understanding of the mathematical concepts presented.
PrefaceAcknowledgmentsTo the StudentAbout the AuthorApplications Index P. Prerequisites: Fundamental Concepts of AlgebraP.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 PolynomialsP.5 Factoring PolynomialsP.6 Rational Expressions 1. Equations and Inequalities1.1 Graphs and Graphing Utilities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic Equations1.6 Other Types of Equations1.7 Linear Inequalities and Absolute Value Inequalities 2. Functions and Graphs2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs2.3 Linear Functions and Slope2.4 More on Slope2.5 Transformations of Functions2.6 Combinations of Functions; Composite Functions2.7 Inverse Functions2.8 Distance and Midpoint Formulas; Circles 3. Polynomial and Rational Functions3.1 Quadratic Functions3.2 Polynomial Functions and Their Graphs3.3 Dividing Polynomials; Remainder and Factor Theorems3.4 Zeros of Polynomial Functions3.5 Rational Functions and Their Graphs3.6 Polynomial and Rational Inequalities3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of Logarithms4.4 Exponential and Logarithmic Equations4.5 Exponential Growth and Decay; Modeling Data 5. Trigonometric Functions5.1 Angles and Radian Measure5.2 Right Triangle Trigonometry5.3 Trigonometric Functions of Any Angle5.4 Trigonometric Functions of Real Numbers; Periodic Functions5.5 Graphs of Sine and Cosine Functions5.6 Graphs of Other Trigonometric Functions5.7 Inverse Trigonometric Functions5.8 Applications of Trigonometric Functions 6. Analytic Trigonometry6.1 Verifying Trigonometric Identities6.2 Sum and Difference Formulas6.3 Double-Angle, Power-Reducing, and Half-Angle Formulas6.4 Product-to-Sum and Sum-to-Product Formulas6.5 Trigonometric Equations 7. Additional Topics in Trigonometry7.1 The Law of Sines7.2 The Law of Cosines7.3 Polar Coordinates7.4 Graphs of Polar Equations7.5 Complex Numbers in Polar Form; DeMoivre's Theorem7.6 Vectors7.7 The Dot Product 8. Systems of Equations and Inequalities8.1 Systems of Linear Equations in Two Variables8.2 Systems of Linear Equations in Three Variables8.3 Partial Fractions8.4 Systems of Nonlinear Equations in Two Variables8.5 Systems of Inequalities8.6 Linear Programming 9. Matrices and Determinants9.1 Matrix Solutions to Linear Systems9.2 Inconsistent and Dependent Systems and Their Applications9.3 Matrix Operations and Their Applications9.4 Multiplicative Inverses of Matrices and Matrix Equations9.5 Determinants and Cramer's Rule 10. Conic Sections and Analytic Geometry10.1 The Ellipse10.2 The Hyperbola10.3 The Parabola10.4 Rotation of Axes10.5 Parametric Equations10.6 Conic Sections in Polar Coordinates Answers to Selected ExercisesSubject IndexPhoto Credits