College algebra : graphs and models / Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen.

Contents;

1 Functions, Graphs, and Models
1.1 Using Graphing Utilities
1.2 Functions
1.3 Functions: Graphs and Properties
1.4 Functions: Graphs and Transformations
1.5 Operations on Functions; Composition
1.6 Inverse Functions

2 Modeling with Linear and Quadratic Functions
2.1 Linear Functions
2.2 Linear Equations and Models
2.3 Quadratic Functions
2.4 Complex Numbers
2.5 Quadratic Equations and Models
2.6 Additional Equation-Solving Techniques
2.7 Solving Inequalities

3 Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Real Zeros and Polynomial Inequalities
3.3 Complex Zeros and Rational Zeros of Polynomials
3.4 Rational Functions and Inequalities

4 Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Exponential Models
4.3 Logarithmic Functions
4.4 Logarithmic Models
4.5 Exponential and Logarithmic Equations

5 Modeling with Linear Systems
5.1 Systems of Linear Equations in Two Variables
5.2 Systems of Linear Equations and Augmented Matrices
5.3 Gauss-Jordan Elimination
5.4 Systems of Linear Inequalities
5.5 Linear Programming

6 Matrices and Determinants
6.1 Matrix Operations
6.2 Inverse of a Square Matrix
6.3 Matrix Equations and Systems of Linear Equations
6.4 Determinants
6.5 Properties of Determinants
6.6 Determinants and Cramer's Rule

7 Sequences, Induction, and Probability
7.1 Sequences and Series
7.2 Mathematical Induction
7.3 Arithmetic and Geometric Sequences
7.4 Multiplication Princple, Permutations, and Combinations
7.5 Sample Spaces and Probability
7.6 Binomial Formula

8 Additional Topics in Analytic Geometry
8.1 Conic Sections; Parabola
8.2 Ellipse
8.3 Hyperbola
8.4 Translation of Axes
8.5 Nonlinear Systems

Includes indexes.