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The authors help students ''see the math'' through their focus on functions; visual emphasis; side-by-side algebraic and graphical solutions; real-data applications; and examples and exercises. By remaining focused on today's students and their needs, the authors lead students to mathematical understanding and, ultimately, success in class.
Chapter 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
Chapter 1 Graphs, Functions, and Inequalities
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Models
1.6 Solving Linear Inequalities
Chapter 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
2.5 Variation and Applications
Chapter 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
3.4 Solving Rational and Radical Equations
3.5 Solving Absolute Value Equations and Inequalities
Chapter 4 Polynomial And Rational Functions
4.1 Polynomial Functions and Modeling
4.2 Graphing Polynomial Functions
4.3 Polynomial Division; The Remainder and Factor Theorems
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
4.6 Polynomial and Rational Inequalities
Chapter 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 and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Chapter 6 Systems of Equations and Matrices
6.1 Systems of Equations in Two Variables
6.2 Systems of Equations in Three Variables
6.3 Matrices and Systems of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer's Rule
6.7 Systems of Inequalities and Linear Programming
6.8 Partial Fractions
Chapter 7 Conic Sections
The authors help students ''see the math'' through their focus on functions; visual emphasis; side-by-side algebraic and graphical solutions; real-data applications; and examples and exercises. By remaining focused on today's students and their needs, the authors lead students to mathematical understanding and, ultimately, success in class.
Table of Contents
Chapter 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
Chapter 1 Graphs, Functions, and Inequalities
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Models
1.6 Solving Linear Inequalities
Chapter 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
2.5 Variation and Applications
Chapter 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
3.4 Solving Rational and Radical Equations
3.5 Solving Absolute Value Equations and Inequalities
Chapter 4 Polynomial And Rational Functions
4.1 Polynomial Functions and Modeling
4.2 Graphing Polynomial Functions
4.3 Polynomial Division; The Remainder and Factor Theorems
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
4.6 Polynomial and Rational Inequalities
Chapter 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 and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Chapter 6 Systems of Equations and Matrices
6.1 Systems of Equations in Two Variables
6.2 Systems of Equations in Three Variables
6.3 Matrices and Systems of Equations
6.4 Matrix Operations
6.5 Inverses of Matrices
6.6 Determinants and Cramer's Rule
6.7 Systems of Inequalities and Linear Programming
6.8 Partial Fractions
Chapter 7 Conic Sections