John Coburn and J.D. (John) Herdlick
College Algebra: Graphs & Models
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College Algebra: Graphs & Models
1st Edition
By John Coburn and J.D. (John) Herdlick
Copyright: 2012
Copyright: 2012
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In the Graphs and Models texts, the authors combine a graphical approach to problem solving with algebraic methods, students learn how to relate their mathematical knowledge to the outside world. The authors use technology to solve the more true-to life equations, to engage more applications, and to explore the more substantial questions involving graphical behavior.
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Program Details
College Algebra: Graphs & Models
Chapter R: A Review of Basic Concepts and Skills
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.7: Exponential, Logarithmic, and Logistic Equation Models
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.5: Matrix Applications and Technology Use
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.7: The Binomial Theorem
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
College Algebra: Graphs & Models
Chapter R: A Review of Basic Concepts and Skills
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
R.1: Algebraic Expressions and the Properties of Real Numbers
R.2: Exponents, Scientific Notation, and a Review of Polynomials
R.3: Solving Linear Equations and Inequalities
R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring
R.5: Rational Expressions and Equations
R.6: Radicals, Rational Exponents, and Radical Equations
Chapter 1: Functions and Graphs
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
Chapter 2: Relations, More on Functions
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
1.1: Rectangular Coordinates, Graphing Circles and Other Relations
1.2: Functions, Function Notation, and the Graph of a Function
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.3: Linear Equations and Rates of Change
1.4: Linear Functions, Special Forms, and More on Rates of Change
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving
1.6: Linear Models and Real Data
2.1: Analyzing the Graph of a Function
2.2: The Toolbox Functions and Transformations
2.3: Absolute Value Functions, Equations, and Inequalities
2.4: Rational and Radical Functions; More on the Domain
2.5: Piecewise-Defined Functions
2.6: Variation: The Toolbox Functions in Action
Chapter 3: Quadratic Functions and Operations on Functions
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
Chapter 4: Polynomial and Rational Functions
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
3.1: Complex Numbers
3.2: Solving Quadratic Equations and Inequalities
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.3: Quadratic Functions and Applications
3.4: Quadratic Models; More on Rates of Change
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
3.5: The Algebra of Functions
3.6: Composition of Functions and the Difference Quotient
4.1: Synthetic Division; the Remainder and Factor Theorems
4.2: The Zeros of Polynomial Functions
4.3: Graphing Polynomial Functions
4.4: Graphing Rational Functions
4.5: Additional Insights into Rational Functions
Chapter 5: Exponential and Logarithmic Functions
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
Chapter 6: Systems of Equations and Inequalities
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
5.1: One-to-One and Inverse Functions
5.2: Exponential Functions
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.3: Logarithms and Logarithmic Functions
5.4: Properties of Logarithms
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.5: Solving Exponential/Logarithmic Equations
5.6: Applications from Business, Finance, and Science
5.7: Exponential, Logarithmic, and Logistic Equation Models
5.7: Exponential, Logarithmic, and Logistic Equation Models
6.1: Linear Systems in Two Variables with Applications
6.2: Linear Systems in Three Variables with Applications
6.3: Nonlinear Systems of Equations and Inequalities
6.4: Systems of Inequalities and Linear Programming
Chapter 7: Matrices and Matrix Applications
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
Chapter 8: Analytic Geometry and the Conic Sections
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
7.1: Solving Linear Systems Using Matrices and Row Operations
7.2: The Algebra of Matrices
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.3: Solving Linear Systems Using Matrix Equations
7.4: Applications of Matrices and Determinants: Cramer’s rule, Partial Fractions, and More
7.5: Matrix Applications and Technology Use
7.5: Matrix Applications and Technology Use
8.1: A Brief Introduction to Analytic Geometry
8.2: The Circle and the Ellipse
8.3: The Hyperbola
8.4: The Analytic Parabola: More on Nonlinear Systems
Chapter 9: Additional Topics in Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
Appendices
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
9.1: Sequences and Series
9.2: Arithmetic Sequences
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.3: Geometric Sequences
9.4: Mathematical Induction
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.5: Counting Techniques
9.6: Introduction to Probability
9.7: The Binomial Theorem
9.7: The Binomial Theorem
The Language, Notation, and Numbers of Mathematics
Geometry Review with Unit Conversions
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive - A Selection of Proofs from College Algebra
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