**Chapter R Review**
R.1 Real Numbers
R.2 Algebra Review
R.3 Geometry Review
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 *n*th Roots; Rational Exponents
**Chapter 1 Graphs, Equations, and Inequalities**
1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations
1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations
1.3 Solving Quadratic Equations
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
1.7 Solving Inequalities
1.8 Lines
1.9 Circles
Chapter Review
Chapter Test
Chapter Project
**Chapter 2 Functions and Their Graphs**
2.1 Intercepts and Symmetry; Graphing Key Equations
2.2 Functions
2.3 The Graph of a Function
2.4 Properties of Functions
2.5 Linear Functions and Models
2.6 Library of Functions; Piecewise-Defined Functions
2.7 Graphing Techniques: Transformations
2.8 Mathematical Models: Constructing Functions
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
**Chapter 3 Polynomial and Rational Functions**
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Models
3.3 Properties of Rational Functions
3.4 The Graph of a Rational Function; Inverse and Joint Variation
3.5 Polynomial and Rational Inequalities
3.6 The Real Zeros of a Polynomial Function
3.7 Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
**Chapter 4 Exponential and Logarithmic Functions**
4.1 Composite Functions
4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations
4.7 Compound Interest
4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay
4.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
**Chapter 5 Systems of Equations and Inequalities**
5.1 Systems of Linear Equations: Substitution and Elimination
5.2 Systems of Linear Equations: Matrices
5.3 Systems of Linear Equations: Determinants
5.4 Matrix Algebra
5.5 Partial Fraction Decomposition
5.6 Systems of Linear Inequalities
5.7 Linear Programming
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
**Chapter 6 Analytic Geometry**
6.1 Conics
6.2 The Parabola
6.3 The Ellipse
6.4 The Hyperbola
6.5 Systems of Nonlinear Equations and Inequalities
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
**Chapter 7 Sequences; Induction; The Binomial Theorem**
7.1 Sequences
7.2 Arithmetic Sequences
7.3 Geometric Sequences; Geometric Series
7.4 Mathematical Induction
7.5 The Binomial Theorem
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
**Chapter 8 Counting and Probability**
8.1 Sets and Counting
8.2 Permutations and Combinations
8.3 Probability
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Answers Index |