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upper level math high school math science social sciences literature and english foreign languages other
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### Chapter 1

Graphs

 1.1 The Distance and Midpoint Formulas Assess Your Understanding p.6 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry Assess Your Understanding p.16 1.3 Lines Assess Your Understanding p.30 1.4 Circles Assess Your Understanding p.37 Review Exercises p.42 Chapter Test p.43

### Chapter 2

Functions And Their Graphs

 2.1 Functions Assess Your Understanding p.56 2.2 The Graph of a Function Assess Your Understanding p.64 2.3 Properties of Functions Assess Your Understanding p.76 2.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.87 2.5 Graphing Techniques: Transformations Assess Your Understanding p.99 2.6 Mathematical Models: Building Functions Assess Your Understanding p.106 Review Exercises p.111 Chapter Test p.114 Cumulative Review p.115

### Chapter 3

Linear And Quadratic Functions

 3.1 Linear Functions and Their Properties Assess Your Understanding p.124 3.2 Linear Models: Building Linear Functions from Data Assess Your Understanding p.131 3.3 Quadratic Functions and Their Properties Assess Your Understanding p.143 3.4 Build Quadratic Models from Verbal Descriptions and from Data Assess Your Understanding p.151 3.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.158 Review Exercises p.160 Chapter Test p.162 Cumulative Review p.163

### Chapter 4

Polynomial And Rational Functions

 4.1 Polynomial Functions Assess Your Understanding p.183 4.2 Properties of Rational Functions Assess Your Understanding p.196 4.3 The Graph of a Rational Function Assess Your Understanding p.211 4.4 Polynomial and Rational Inequalities Assess Your Understanding p.217 4.5 The Real Zeros of a Polynomial Function Assess Your Understanding p.231 4.6 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.238 Review Exercises p.240 Cumulative Review p.243 Chapter Test p.243

### Chapter 5

Exponential And Logarithmic Functions

 5.1 Composite Functions Assess Your Understanding p.252 5.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.263 5.3 Exponential Functions Assess Your Understanding p.278 5.4 Logarithmic Functions Assess Your Understanding p.292 5.5 Properties of Logarithms Assess Your Understanding p.303 5.6 Logarithmic and Exponential Equations Assess Your Understanding p.309 5.7 Financial Models Assess Your Understanding p.318 5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models Assess Your Understanding p.330 5.9 Building Exponential, Logarithmic, and Logistic Models from Data Assess Your Understanding p.336 Review Exercises p.342 Chapter Test p.346 Cumulative Review p.346

### Chapter 6

Trigonometric Functions

 6.1 Angles and Their Measure Assess Your Understanding p.359 6.2 Trigonometric Functions: Unit Circle Approach Assess Your Understanding p.375 6.3 Properties of the Trigonometric Functions Assess Your Understanding p.390 6.4 Graphs of the Sine and Cosine Functions Assess Your Understanding p.403 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.413 6.6 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.424 Review Exercises p.430 Chapter Test p.432 Cumulative Review p.433

### Chapter 7

Analytic Trigonometry

 7.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.445 7.2 The Inverse Trigonometric Functions (Continued) Assess Your Understanding p.452 7.3 Trigonometric Equations Assess Your Understanding p.460 7.4 Trigonometric Identities Assess Your Understanding p.469 7.5 Sum and Difference Formulas Assess Your Understanding p.481 7.6 Double-angle and Half-angle Formulas Assess Your Understanding p.491 7.7 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.496 Review Exercises p.499 Chapter Test p.502 Cumulative Review p.502

### Chapter 8

Applications Of Trigonometric Functions

 8.1 Right Triangle Trigonometry; Applications Assess Your Understanding p.512 8.2 The Law of Sines Assess Your Understanding p.528 8.3 The Law of Cosines Assess Your Understanding p.531 8.4 Area of a Triangle Assess Your Understanding p.537 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.547 Review Exercises p.551 Chapter Test p.554 Cumulative Review p.555

### Chapter 9

Polar Coordinates; Vectors

 9.1 Polar Coordinates Assess Your Understanding p.565 9.2 Polar Equations and Graphs Assess Your Understanding p.579 9.3 The Complex Plane; De Moivre's Theorem Assess Your Understanding p.588 9.4 Vectors Assess Your Understanding p.600 9.5 The Dot Product Assess Your Understanding p.609 9.6 Vectors in Space Assess Your Understanding p.618 9.7 The Cross Product Assess Your Understanding p.624 Review Exercises p.626 Chapter Test p.629 Cumulative Review p.629

### Chapter 10

Analytic Geometry

 10.2 The Parabola Assess Your Understanding p.639 10.3 The Ellipse Assess Your Understanding p.649 10.4 The Hyperbola Assess Your Understanding p.662 10.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.671 10.6 Polar Equations of Conics Assess Your Understanding p.677 10.7 Plane Curves and Parametric Equations Assess Your Understanding p.688 Review Exercises p.692 Cumulative Review p.694 Chapter Test p.694

### Chapter 11

Systems Of Equations And Inequalities

 11.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.708 11.2 Systems of Linear Equations: Matrices Assess Your Understanding p.723 11.3 Systems of Linear Equations: Determinants Assess Your Understanding p.734 11.4 Matrix Algebra Assess Your Understanding p.750 11.5 Partial Fraction Decomposition Assess Your Understanding p.760 11.6 Systems of Nonlinear Equations Assess Your Understanding p.766 11.7 Systems of Inequalities Assess Your Understanding p.775 11.8 Linear Programming Assess Your Understanding p.782 Review Exercises p.785 Chapter Test p.789 Cumulative Review p.790

### Chapter 12

Sequences; Induction; The Binomial Theorem

 12.1 Sequences Assess Your Understanding p.799 12.2 Arithmetic Sequences Assess Your Understanding p.807 12.3 Geometric Sequences; Geometric Series Assess Your Understanding p.817 12.4 Mathematical Induction Assess Your Understanding p.823 12.5 The Binomial Theorem Assess Your Understanding p.829 Review Exercises p.831 Chapter Test p.833 Cumulative Review p.833

### Chapter 13

Counting And Probability

 13.1 Counting Assess Your Understanding p.840 13.2 Permutations and Combinations Assess Your Understanding p.847 13.3 Probability Assess Your Understanding p.857 Review Exercises p.861 Chapter Test p.862 Cumulative Review p.863

### Chapter 14

A Preview Of Calculus: The Limit, Derivative, ...

 14.1 Finding Limits Using Tables and Graphs Assess Your Understanding p.869 14.2 Algebra Techniques for Finding Limits Assess Your Understanding p.877 14.3 One-sided Limits; Continuous Functions Assess Your Understanding p.883 14.4 The Tangent Problem; The Derivative Assess Your Understanding p.890 14.5 The Area Problem; The Integral Assess Your Understanding p.897 Review Exercises p.899 Chapter Test p.902

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