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Table of Contents
R. Basic Concepts of Algebra
R.1 The Real-Number System
R.2 Integer Exponents, Scientific Notation, and Order of Operations
R.3 Addition, Subtraction, and Multiplication of Polynomials
R.4 Factoring
R.5 The Basics of Equation Solving
R.6 Rational Expressions
R.7 Radical Notation and Rational Exponents
Study Guide
Review Exercises
Chapter Test
1. Graphs; Linear Functions and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
Visualizing the Graph
Mid-Chapter Mixed Review
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities
Study Guide
Review Exercises
Chapter Test
2. More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
2.4 Symmetry and Transformations
Visualizing the Graph
2.5 Variation and Applications
Study Guide
Review Exercises
Chapter Test
3. Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
Visualizing the Graph
Mid-Chapter Mixed Review
3.4 Solving Rational Equations and Radical Equations
3.5 Solving Linear Inequalities
Study Guide
Review Exercises
Chapter Test
4. Polynomial and Rational Functions
4.1 Polynomial Functions and Modeling
4.2 Graphing Polynomial Functions
Visualizing the Graph
4.3 Polynomial Division; The Remainder and Factor Theorems
Mid-Chapter Mixed Review
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
Visualizing the Graph
4.6 Polynomial and Rational Inequalities
Study Guide
Review Exercises
Chapter Test
5. Exponential and Logarithmic Functions
5.1 Inverse Functions
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Study Guide
Review Exercises
Chapter Test
6. Systems of Equations and Matrices
6.1 Systems of Equations in Two Variables
Visualizing the Graph
6.2 Systems of Equations in Three Variables
6.3 Matrices and Systems of Equations
6.4 Matrix Operations
Mid-Chapter Mixed Review
6.5 Inverses of Matrices
6.6 Determinants and Cramer’s Rule
6.7 Systems of Inequalities and Linear Programming
6.8 Partial Fractions
Study Guide
Review Exercises
Chapter Test
7. Conic Sections
7.1 The Parabola
7.2 The Circle and the Ellipse
Mid-Chapter Mixed Review
7.3 The Hyperbola
7.4 Nonlinear Systems of Equations and Inequalities
Visualizing the Graph
Study Guide
Review Exercises
Chapter Test
8. Sequences, Series, and Combinatorics
8.1 Sequences and Series
8.2 Arithmetic Sequences and Series
8.3 Geometric Sequences and Series
Visualizing the Graph
8.4 Mathematical Induction
Mid-Chapter Mixed Review
8.5 Combinatorics: Permutations
8.6 Combinatorics: Combinations
8.7 The Binomial Theorem
8.8 Probability
Study Guide
Review Exercises
Chapter Test
Photo Credits
Answers
Index
Index of Applications
Get College Algebra, 4th Edition by Judith A. Beecher, Indiana University Purdue University Indianapolis Judith A. Penna, Indiana University Purdue University Indianapolis Marvin L. Bittinger, Indiana University Purdue University Indianapolis
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