Index of Applications
CHAPTER R Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 integer Exponents and Scientific Notation
Section R.3 Rational Exponents and Radicals
Section R.4 Polynomials and Multiplication of Radicals
Problem Recognition Exercises: Simplifying Algebraic Expressions
Section R.S Factoring
Section R.6 Rational Expressions and More Operations on Radicals
Algebra for Calculus
Key Concepts
Review Exercises
Test
CHAPTER 1 Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications with Linear and Rational Equations
Section 1.3 Complex Numbers
Section 1.4 Quadratic Equations
Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations
Section 1.5 Applications of Quadratic Equations
Section 1.6 More Equations and Applications
Section 1.7 Linear, Compound, and Absolute Value Inequalities
Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities
Equations and Inequalities for Calculus
Key Concepts
Review Exercises
Test
Cumulative Review Exercises
CHAPTER 2 Functions and Relations
Section 2.1 The Rectangular Coordinate System and Graphing Utilities
Section 2.2 Circles
Section 2.3 Functions and Relations
Section 2.4 Linear Equations in Two Variables and Linear Functions
Section 2.5 Applications of Linear Equations and Modeling
Problem Recognition Exercises: Comparing Graphs of Equations
Section 2.6 Transformations of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2,8 Algebra of Functions and Function Composition
Key Concepts
Review Exercises
Test
CHAPTER 3 Cumulative Review Exercises
Polynomial and Rational Functions
Section 3.1 Quadratic Functions and Applications
Section 3.2 Introduction to Polynomial Functions
Section 3.3 Division of Polynomials and the Remainder and Factor Theorems
Section 3.4 Zeros of Polynomials
Section 3.5 Rational Functions
Problem Recognition Exercises: Polynomial and Rational Functions
Section 3.6 Polynomial and Rational Inequalities
