## Description

This market-leading text continues to provide and instructors with , consistently structured explanations of the mathematical concepts.

Designed for a two-term , the new Eighth Edition retains the features that have made and a complete for both students and instructors: interesting , cutting-edge , and innovative technology combined with an abundance of carefully written exercises.

## Table of Contents

Chapter 0: Prerequisites
0.1: Review of Real Numbers and Their Properties (99)
0.2: Exponents and Radicals (97)
0.3: Polynomials and Special Products (89)
0.4: Factoring Polynomials (111)
0.5: Rational Expressions (91)
0.6: The Rectangular Coordinate System and Graphs (57)

Chapter 1: Equations, Inequalities, and Mathematical Modeling
1.1: Graphs of Equations (52)
1.2: Linear Equations in One Variable (77)
1.3: Modeling with Linear Equations (83)
1.4: Quadratic Equations and Applications (103)
1.5: Complex Numbers (63)
1.6: Other Types of Equations (91)
1.7: Linear Inequalities in One Variable (103)
1.8: Other Types of Inequalities (56)

Chapter 2: Functions and Their Graphs
2.1: Linear Equations in Two Variables (106)
2.2: Functions (79)
2.3: Analyzing Graphs of Functions (86)
2.4: A Library of Functions (41)
2.5: Shifting, Reflecting, and Stretching Graphs (51)
2.6: Combinations of Functions (56)
2.7: Inverse Functions (69)

Chapter 3: Polynomial Functions
3.1: Quadratic Functions and Models (62)
3.2: Polynomial Functions of Higher Degree (66)
3.3: Polynomial and Synthetic Division (56)
3.4: Zeros of Polynomial Functions (87)
3.5: Mathematical Modeling (72)

Chapter 4: Rational Functions and Conics
4.1: Rational Functions and Asymptotes (33)
4.2: Graphs of Rational Functions (57)
4.3: Conics (65)
4.4: Translations of Conics (57)

Chapter 5: Exponential and Logarithmic Functions
5.1: Exponential Functions and Their Graphs (57)
5.2: Logarithmic Functions and Their Graphs (62)
5.3: Properties of Logarithms (65)
5.4: Exponential and Logarithmic Equations (87)
5.5: Exponential and Logarithmic Models (65)

Chapter 6: Trigonometry
6.1: Angles and Their Measure (83)
6.2: Right Triangle Trigonometry (52)
6.3: Trigonometric Functions of Any Angle (68)
6.4: Graphs of Sine and Cosine Functions (60)
6.5: Graphs of Other Trigonometric Functions (59)
6.6: Inverse Trigonometric Functions (77)
6.7: Applications and Models (60)

Chapter 7: Analytic Trigonometry
7.1: Using Fundamental Identities (79)
7.2: Verifying Trigonometric Identities (46)
7.3: Solving Trigonometric Equations (65)
7.4: Sum and Difference Formulas (63)
7.5: Multiple-Angle and Product-to-Sum Formulas (89)

Chapter 8: Additional Topics in Trigonometry
8.1: Law of Sines (43)
8.2: Law of Cosines (53)
8.3: Vectors in the Plane (78)
8.4: Vectors and Dot Products (59)
8.5: Trigonometric Form of a Complex Number (64)

Chapter 9: Systems of Equations and Inequalities
9.1: Linear and Nonlinear Systems of Equations (64)
9.2: Two-Variable Linear Systems (50)
9.3: Multivariable Linear Systems (71)
9.4: Partial Fractions (44)
9.5: Systems of Inequalities (59)
9.6: Linear Programming (36)

Chapter 10: Matrices and Determinants
10.1: Matrices and Systems of Equations (81)
10.2: Operations with Matrices (62)
10.3: The Inverse of a Square Matrix (56)
10.4: The Determinant of a Square Matrix (61)
10.5: Applications of Matrices and Determinants (48)

Chapter 11: Sequences, Series, and Probability
11.1: Sequences and Series (87)
11.2: Arithmetic Sequences and Partial Sums (72)
11.3: Geometric Sequences and Series (91)
11.4: Mathematical Induction (52)
11.5: The Binomial Theorem (63)
11.6: Counting Principles (72)
11.7: Probability (70)
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