College algebra

Cover
Contents
Title
Copyright
Preface
P Prerequisites
P.1 Real Numbers and Their Properties
P.2 Integral Exponents and Scientific Notation
P.3 Rational Exponents and Radicals
P.4 Polynomials
P.5 Factoring Polynomials
P.6 Rational Expressions
P.7 Complex Numbers
Chapter P Highlights
Chapter P Review Exercises
Chapter P Test
1 Equations, Inequalities, and Modeling
1.1 Linear, Rational, and Absolute Value Equations
1.2 Constructing Models to Solve Problems
1.3 Equations and Graphs in Two Variables
1.4 Linear Equations in Two Variables
1.5 Quadratic Equations
1.6 Miscellaneous Equations
1.7 Linear and Absolute Value Inequalities
Chapter 1 Highlights
Chapter 1 Review Exercises
Chapter 1 Test
Tying it al together
2 Functions and Graphs
2.1 Functions
2.2 Graphs of Relations and Functions
2.3 Families of Functions, Transformations, and Symmetry
2.4 Operations with Functions
2.5 Inverse Functions
2.6 Constructing Functions with Variation
Chapter 2 Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying it All together
3 Polynomial and Rational Functions
3.1 Quadratic Functions and Inequalities
3.2 Zeros of Polynomial Functions
3.3 The Theory of Equations
3.4 Graphs of Polynomial Functions
3.5 Rational Functions and Inequalities
Chapter 3 Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying it All together
4 Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Applications
4.2 Logarithmic Functions and Their Applications
4.3 Rules of Logarithms
4.4 More Equations and Applications
Chapter 4 Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying it All together
5 Systems of Equations and Inequalities
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations in Three Variables
5.3 Nonlinear Systems of Equations
5.4 Partial Fractions
5.5 Inequalities and Systems of Inequalities in Two Variables
5.6 The Linear Programming Model
Chapter 5 Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying it All together
6 Matrices and Determinants
6.1 Solving Linear Systems Using Matrices
6.2 Operations with Matrices
6.3 Multiplication of Matrices
6.4 Inverses of Matrices
6.5 Solution of Linear Systems in Two Variables Using Determinants
6.6 Solution of Linear Systems in Three Variables Using Determinants
Chapter 6 Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying it All together
7 The Conic Sections
7.1 The Parabola
7.2 The Ellipse and the Circle
7.3 The Hyperbola
Chapter 7 Highlights
Chapter 7 Review Exercises
Chapter 7 Test
Tying it All together
8 Sequences, Series, and Probability
8.1 Sequences and Arithmetic Sequences
8.2 Series and Arithmetic Series
8.3 Geometric Sequences and Series
8.4 Counting and Permutations
8.5 Combinations, Labeling, and the Binomial Theorem
8.6 Probability
8.7 Mathematical Induction
Chapter 8 Highlights
Chapter 8 Review Exercises
Chapter 8 Test
Online Appendix A: Scatter Diagrams and Curve Fitting
Online Appendix B: Solutions to Try This Exercises
Answers to Exercises
Photo Credits
Index of Applications
Index
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P
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