# Precalculus: Graphs & Models

1^{st}Edition

ISBN10: 0073519537

ISBN13: 9780073519531

Copyright: 2012

Instructors: choose ebook for fast access or receive a print copy.

Still Have Questions? Contact your Rep s

With the McGraw-Hill eBook, students can access their digital textbook on the web or go offline via the ReadAnywhere app for phones or tablets.

McGraw-Hill eBook Courses Include:

- Offline reading – study anytime, anywhere
- One interface for all McGraw-Hill eBooks
- Highlighting and note-taking
- Syncs across platforms, always up-to-date
- Available for Android and iOS

#### Rent Monthly

## Purchase Options

Students, we’re committed to providing you with high-value course solutions backed by great service and a team that cares about your success. See tabs below to explore options and pricing. Don't forget, we accept financial aid and scholarship funds in the form of credit or debit cards.

### Loose-Leaf Purchase

- Purchase un-bound 3-ring binder ready textbook
- Flexibility and ease of selecting chapters to take where you want to go

ISBN10: 0077431189 | ISBN13: 9780077431181

Purchase

$196.00

### Hardcopy

Receive via shipping:

- Bound book containing the complete text
- Full color
- Hardcover or softcover

ISBN10: 0073519537 | ISBN13: 9780073519531

Purchase

$147.42

### Connect

- Personalize your learning, save time completing homework, and possibly earn a better grade
- Access to eBook, homework and adaptive assignments, videos, and study resources
- Download free ReadAnywhere App for offline access to eBook for anytime reading
- Connect may be assigned as part of your grade. Check with your instructor to see if Connect is used in your course.

ISBN10: 0077431715 | ISBN13: 9780077431716

180 Day

$104.00

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

# Precalculus: Graphs & Models

### Chapter 1: Functions and Graphs

###
#### 1.1, Rectangular Coordinates; Graphing Circles and Other Relations

#### 1.2, Linear Equations and Rates of Change

#### 1.3, Functions, Function Notation, and the Graph of a Function

#### 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 Function Models and Real Data

#### 1.1, Rectangular Coordinates; Graphing Circles and Other Relations

#### 1.2, Linear Equations and Rates of Change

#### 1.3, Functions, Function Notation, and the Graph of a Function

#### 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 Function 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

#### 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

#### 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

#### 4.6, Polynomial and Rational Inequalities

#### 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

#### 4.6, Polynomial and Rational Inequalities

### 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 and Logarithmic Equations

#### 5.6, Applications from Business, Finance, and Science

#### 5.7, Exponential, Logarithmic, and Logistic Equation Models

#### 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 and Logarithmic Equations

#### 5.6, Applications from Business, Finance, and Science

#### 5.7, Exponential, Logarithmic, and Logistic Equation Models

### Chapter 6: Introduction to Trigonometry
#### 6.1, Angle Measure, Special Triangles, and Special Angles

#### 6.2, Unit Circles and the Trigonometry of Real Numbers

#### 6.3, Graphs of Sine and Cosine Functions

#### 6.4, Graphs of the Cosecant, Secant, Tangent, and Cotangent Functions

#### 6.5, Transformations and Applications of Trigonometric Graphs

#### 6.6, The Trigonometry of Right Triangles

#### 6.7, Trigonometry and the Coordinate Plane

#### 6.8, Trigonometric Equation Models

#### 6.1, Angle Measure, Special Triangles, and Special Angles

#### 6.2, Unit Circles and the Trigonometry of Real Numbers

#### 6.3, Graphs of Sine and Cosine Functions

#### 6.4, Graphs of the Cosecant, Secant, Tangent, and Cotangent Functions

#### 6.5, Transformations and Applications of Trigonometric Graphs

#### 6.6, The Trigonometry of Right Triangles

#### 6.7, Trigonometry and the Coordinate Plane

#### 6.8, Trigonometric Equation Models

### Chapter 7: Trigonometric Identities, Inverses, and Equations
#### 7.1, Fundamental Identities and Families of Identities

#### 7.2, More on Verifying Identities

#### 7.3, The Sum and Difference Identities

#### 7.4, The Double-Angle, Half-Angle and Product-to-Sum Identities

#### 7.5, The Inverse Trigonometric Functions and their Applications

#### 7.6, Solving Basic Trig Equations

#### 7.7, General Trig Equations and Applications

#### 7.1, Fundamental Identities and Families of Identities

#### 7.2, More on Verifying Identities

#### 7.3, The Sum and Difference Identities

#### 7.4, The Double-Angle, Half-Angle and Product-to-Sum Identities

#### 7.5, The Inverse Trigonometric Functions and their Applications

#### 7.6, Solving Basic Trig Equations

#### 7.7, General Trig Equations and Applications

### Chapter 8: Applications of Trigonometry
#### 8.1, Oblique Triangles and the Law of Sines

#### 8.2, The Law of Cosines; the Area of a Triangle

#### 8.3, Vectors and Vector Diagrams

#### 8.4, Vector Applications and the Dot Product

#### 8.5, Complex Numbers in Trigonometric Form

#### 8.6, De Moivre’s Theorem and the Theorem on nth Roots

#### 8.1, Oblique Triangles and the Law of Sines

#### 8.2, The Law of Cosines; the Area of a Triangle

#### 8.3, Vectors and Vector Diagrams

#### 8.4, Vector Applications and the Dot Product

#### 8.5, Complex Numbers in Trigonometric Form

#### 8.6, De Moivre’s Theorem and the Theorem on nth Roots

### Chapter 9: Systems of Equations ad Inequalities; Matrices
#### 9.1, Linear Systems in Two Variables with Applications

#### 9.2, Linear Systems in Three Variables with Applications

#### 9.3, Systems of Inequalities and Linear Programming

#### 9.4, Partial Fraction Decomposition

#### 9.5, Solving Linear Systems Using Matrices and Row Operations

#### 9.6, The Algebra of Matrices

#### 9.7, Solving Linear Systems Using Matrix Equations

#### 9.8, Applications of Matrices and Determinants: Cramer’s Rule, Geometry, and More

#### 9.1, Linear Systems in Two Variables with Applications

#### 9.2, Linear Systems in Three Variables with Applications

#### 9.3, Systems of Inequalities and Linear Programming

#### 9.4, Partial Fraction Decomposition

#### 9.5, Solving Linear Systems Using Matrices and Row Operations

#### 9.6, The Algebra of Matrices

#### 9.7, Solving Linear Systems Using Matrix Equations

#### 9.8, Applications of Matrices and Determinants: Cramer’s Rule, Geometry, and More

### Chapter 10: Analytical Geometry and the Conic Sections
#### 10.1, A Brief Introduction to Analytic Geometry

#### 10.2, The Circle and the Ellipse

#### 10.3, The Hyperbola

#### 10.4, The Analytic Parabola

#### 10.5, Nonlinear Systems of Equations and Inequalities

#### 10.6, Polar Coordinates, Equations, and Graphs

#### 10.7, More on the Conic Sections: Rotation of Axes and Polar Form

#### 10.8, Parametric Equations and Graphs

#### 10.1, A Brief Introduction to Analytic Geometry

#### 10.2, The Circle and the Ellipse

#### 10.3, The Hyperbola

#### 10.4, The Analytic Parabola

#### 10.5, Nonlinear Systems of Equations and Inequalities

#### 10.6, Polar Coordinates, Equations, and Graphs

#### 10.7, More on the Conic Sections: Rotation of Axes and Polar Form

#### 10.8, Parametric Equations and Graphs

### Chapter 11: Additional Topics in Algebra #### 11.1, Sequences and Series

#### 11.2, Arithmetic Sequences

#### 11.3, Geometric Sequences

#### 11.4, Mathematical Induction

#### 11.5, Counting Techniques

#### 11.6, Introduction to Probability

#### 11.7, The Binomial Theorem

#### 11.1, Sequences and Series

#### 11.2, Arithmetic Sequences

#### 11.3, Geometric Sequences

#### 11.4, Mathematical Induction

#### 11.5, Counting Techniques

#### 11.6, Introduction to Probability

#### 11.7, The Binomial Theorem

### Chapter 12: Bridges to Calculus – An Introduction to Limits
#### 12.1, An Introduction to Limits Using Tables and Graphs

#### 12.2, The Properties of Limits

#### 12.3, Continuity and More on Limits

#### 12.4, Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve

#### 12.1, An Introduction to Limits Using Tables and Graphs

#### 12.2, The Properties of Limits

#### 12.3, Continuity and More on Limits

#### 12.4, Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve

### Appendix A: A Review of Basic Concepts and Skills
#### A.1, Algebraic Expressions and the Properties of Real Numbers

#### A.2, Exponents, Scientific Notation, and a Review of Polynomials

#### A.3, Solving Linear Equations and Inequalities

#### A.4, Factoring Polynomials and Solving Equations by Factoring

#### A.5, Rational Expressions and Equations

#### A.6, Radicals, Rational Exponents, and Radical Equations

#### A.1, Algebraic Expressions and the Properties of Real Numbers

#### A.2, Exponents, Scientific Notation, and a Review of Polynomials

#### A.3, Solving Linear Equations and Inequalities

#### A.4, Factoring Polynomials and Solving Equations by Factoring

#### A.5, Rational Expressions and Equations

#### A.6, Radicals, Rational Exponents, and Radical Equations

### Appendix B: Proof Positive - A Selection of Proofs from Precalculus

### Appendix C: More on Synthetic Division

### Appendix D: Reduced Row-Echelon Form and More on Matrices

### Appendix E: The Equation of a Conic

### Appendix F: Families of Polar Curves

### Online Appendices
#### AO.1, The Language, Notation, and Numbers of Mathematics

#### AO.2, Geometry Review with Unit Conversions

#### AO.1, The Language, Notation, and Numbers of Mathematics

#### AO.2, Geometry Review with Unit Conversions

# Precalculus: Graphs & Models

### Chapter 1: Functions and Graphs

###
#### 1.1, Rectangular Coordinates; Graphing Circles and Other Relations

#### 1.2, Linear Equations and Rates of Change

#### 1.3, Functions, Function Notation, and the Graph of a Function

#### 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 Function Models and Real Data

#### 1.1, Rectangular Coordinates; Graphing Circles and Other Relations

#### 1.2, Linear Equations and Rates of Change

#### 1.3, Functions, Function Notation, and the Graph of a Function

#### 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 Function 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

#### 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

#### 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

#### 4.6, Polynomial and Rational Inequalities

#### 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

#### 4.6, Polynomial and Rational Inequalities

### 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 and Logarithmic Equations

#### 5.6, Applications from Business, Finance, and Science

#### 5.7, Exponential, Logarithmic, and Logistic Equation Models

#### 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 and Logarithmic Equations

#### 5.6, Applications from Business, Finance, and Science

#### 5.7, Exponential, Logarithmic, and Logistic Equation Models

### Chapter 6: Introduction to Trigonometry
#### 6.1, Angle Measure, Special Triangles, and Special Angles

#### 6.2, Unit Circles and the Trigonometry of Real Numbers

#### 6.3, Graphs of Sine and Cosine Functions

#### 6.4, Graphs of the Cosecant, Secant, Tangent, and Cotangent Functions

#### 6.5, Transformations and Applications of Trigonometric Graphs

#### 6.6, The Trigonometry of Right Triangles

#### 6.7, Trigonometry and the Coordinate Plane

#### 6.8, Trigonometric Equation Models

#### 6.1, Angle Measure, Special Triangles, and Special Angles

#### 6.2, Unit Circles and the Trigonometry of Real Numbers

#### 6.3, Graphs of Sine and Cosine Functions

#### 6.4, Graphs of the Cosecant, Secant, Tangent, and Cotangent Functions

#### 6.5, Transformations and Applications of Trigonometric Graphs

#### 6.6, The Trigonometry of Right Triangles

#### 6.7, Trigonometry and the Coordinate Plane

#### 6.8, Trigonometric Equation Models

### Chapter 7: Trigonometric Identities, Inverses, and Equations
#### 7.1, Fundamental Identities and Families of Identities

#### 7.2, More on Verifying Identities

#### 7.3, The Sum and Difference Identities

#### 7.4, The Double-Angle, Half-Angle and Product-to-Sum Identities

#### 7.5, The Inverse Trigonometric Functions and their Applications

#### 7.6, Solving Basic Trig Equations

#### 7.7, General Trig Equations and Applications

#### 7.1, Fundamental Identities and Families of Identities

#### 7.2, More on Verifying Identities

#### 7.3, The Sum and Difference Identities

#### 7.4, The Double-Angle, Half-Angle and Product-to-Sum Identities

#### 7.5, The Inverse Trigonometric Functions and their Applications

#### 7.6, Solving Basic Trig Equations

#### 7.7, General Trig Equations and Applications

### Chapter 8: Applications of Trigonometry
#### 8.1, Oblique Triangles and the Law of Sines

#### 8.2, The Law of Cosines; the Area of a Triangle

#### 8.3, Vectors and Vector Diagrams

#### 8.4, Vector Applications and the Dot Product

#### 8.5, Complex Numbers in Trigonometric Form

#### 8.6, De Moivre’s Theorem and the Theorem on nth Roots

#### 8.1, Oblique Triangles and the Law of Sines

#### 8.2, The Law of Cosines; the Area of a Triangle

#### 8.3, Vectors and Vector Diagrams

#### 8.4, Vector Applications and the Dot Product

#### 8.5, Complex Numbers in Trigonometric Form

#### 8.6, De Moivre’s Theorem and the Theorem on nth Roots

### Chapter 9: Systems of Equations ad Inequalities; Matrices
#### 9.1, Linear Systems in Two Variables with Applications

#### 9.2, Linear Systems in Three Variables with Applications

#### 9.3, Systems of Inequalities and Linear Programming

#### 9.4, Partial Fraction Decomposition

#### 9.5, Solving Linear Systems Using Matrices and Row Operations

#### 9.6, The Algebra of Matrices

#### 9.7, Solving Linear Systems Using Matrix Equations

#### 9.8, Applications of Matrices and Determinants: Cramer’s Rule, Geometry, and More

#### 9.1, Linear Systems in Two Variables with Applications

#### 9.2, Linear Systems in Three Variables with Applications

#### 9.3, Systems of Inequalities and Linear Programming

#### 9.4, Partial Fraction Decomposition

#### 9.5, Solving Linear Systems Using Matrices and Row Operations

#### 9.6, The Algebra of Matrices

#### 9.7, Solving Linear Systems Using Matrix Equations

#### 9.8, Applications of Matrices and Determinants: Cramer’s Rule, Geometry, and More

### Chapter 10: Analytical Geometry and the Conic Sections
#### 10.1, A Brief Introduction to Analytic Geometry

#### 10.2, The Circle and the Ellipse

#### 10.3, The Hyperbola

#### 10.4, The Analytic Parabola

#### 10.5, Nonlinear Systems of Equations and Inequalities

#### 10.6, Polar Coordinates, Equations, and Graphs

#### 10.7, More on the Conic Sections: Rotation of Axes and Polar Form

#### 10.8, Parametric Equations and Graphs

#### 10.1, A Brief Introduction to Analytic Geometry

#### 10.2, The Circle and the Ellipse

#### 10.3, The Hyperbola

#### 10.4, The Analytic Parabola

#### 10.5, Nonlinear Systems of Equations and Inequalities

#### 10.6, Polar Coordinates, Equations, and Graphs

#### 10.7, More on the Conic Sections: Rotation of Axes and Polar Form

#### 10.8, Parametric Equations and Graphs

### Chapter 11: Additional Topics in Algebra #### 11.1, Sequences and Series

#### 11.2, Arithmetic Sequences

#### 11.3, Geometric Sequences

#### 11.4, Mathematical Induction

#### 11.5, Counting Techniques

#### 11.6, Introduction to Probability

#### 11.7, The Binomial Theorem

#### 11.1, Sequences and Series

#### 11.2, Arithmetic Sequences

#### 11.3, Geometric Sequences

#### 11.4, Mathematical Induction

#### 11.5, Counting Techniques

#### 11.6, Introduction to Probability

#### 11.7, The Binomial Theorem

### Chapter 12: Bridges to Calculus – An Introduction to Limits
#### 12.1, An Introduction to Limits Using Tables and Graphs

#### 12.2, The Properties of Limits

#### 12.3, Continuity and More on Limits

#### 12.4, Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve

#### 12.1, An Introduction to Limits Using Tables and Graphs

#### 12.2, The Properties of Limits

#### 12.3, Continuity and More on Limits

#### 12.4, Applications of Limits: Instantaneous Rates of Change and the Area Under a Curve

### Appendix A: A Review of Basic Concepts and Skills
#### A.1, Algebraic Expressions and the Properties of Real Numbers

#### A.2, Exponents, Scientific Notation, and a Review of Polynomials

#### A.3, Solving Linear Equations and Inequalities

#### A.4, Factoring Polynomials and Solving Equations by Factoring

#### A.5, Rational Expressions and Equations

#### A.6, Radicals, Rational Exponents, and Radical Equations

#### A.1, Algebraic Expressions and the Properties of Real Numbers

#### A.2, Exponents, Scientific Notation, and a Review of Polynomials

#### A.3, Solving Linear Equations and Inequalities

#### A.4, Factoring Polynomials and Solving Equations by Factoring

#### A.5, Rational Expressions and Equations

#### A.6, Radicals, Rational Exponents, and Radical Equations

### Appendix B: Proof Positive - A Selection of Proofs from Precalculus

### Appendix C: More on Synthetic Division

### Appendix D: Reduced Row-Echelon Form and More on Matrices

### Appendix E: The Equation of a Conic

### Appendix F: Families of Polar Curves

### Online Appendices
#### AO.1, The Language, Notation, and Numbers of Mathematics

#### AO.2, Geometry Review with Unit Conversions

#### AO.1, The Language, Notation, and Numbers of Mathematics

#### AO.2, Geometry Review with Unit Conversions

#### Shipping Options

- Standard
- Next day air
- 2nd day air
- 3rd day air

#### Rent Now

You will be taken to our partner Chegg.com to complete your transaction.

After completing your transaction, you can access your course using the section url supplied by your instructor.