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As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Precalculus Functions and Graphs: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.
1. Functions and Their Graphs
Introduction to Library of Functions
1.1 Lines in the Plane
1.2 Functions
1.3 Graphs of Functions
1.4 Shifting, Reflecting, and Stretching Graphs
1.5 Combinations of Functions
1.6 Inverse Functions
1.7 Exploring Data: Linear Models and Scatter Plots
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions of Higher Degree
2.3 Real Zeros of Polynomial Functions
2.4 Complex Numbers
2.5 The Fundamental Theorem of Algebra
2.6 Rational Functions and Asymptotes
2.7 Graphs of Rational Functions
2.8 Exploring Data: Quadratic Models
3. and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
3.6 Exploring Data: Nonlinear Models
Cumulative Test: Chapters 1-3
4. Trigonometric Functions
4.1 Radian and Degree Measure
4.2 Trigonmetric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications and Models
5. Analytic Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations
5.4 Sum and Difference Formulas
5.5 Multiple-Anlge and Product-to-Sum Formulas
6. Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Vectors in the Plane
6.4 Vectors and Dot Products
6.5 Trigonometric Form of a Complex Number
Cumulative Test: Chapters 4-6
7. Linear Systems and Matrices
7.1 Solving Systems of Equations
7.2 Systems of Linear Equations in Two Variables
7.3 Multivariable Linear Systems
7.4 Matrices and Systems of Equations
7.5 Operations with Matrices
7.6 The Inverse of a Square Matrix
7.7 The Determinant of a Square Matrix
7.8 Applications of Matrices and Determinants
8. Sequences, Series, and Probability
8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability
9. Topics in Analytic Geometry
9.1 Introduction to Conics: Parabolas
9.2 Ellipses
9.3 Hyperbolas
9.4 Rotation and Systems of Quadratic Equations
9.5 Parametric Equations
9.6 Polar Coordinates
9.7 Graphs of Polar Equations
9.8 Polar Equations of Conics
Cumulative Test: Chapters 7-9
Appendix A Technology Support
Appendix B Review of Graphs, Equations, and Inequalities
B.1 The Cartesian Plane
B.2 Graphs of Equations
B.3 Solving Equations Algebraically and Graphically
B.4 Solving Inequalities Algebraically and Graphically
B.5 Exploring Data: Representing Data Graphically
Appendix C Proofs of Selected Theorems
Appendix D Concepts in Statistics
D.1 Measures of Central Tendency and Dispersion
D.2 Least Squares Regression
Appendix E Solving Linear Equations and Inequalities
Appendix F Systems of Inequalities
F.1 Solving Systems of Inequalities
F.2 Linear Programming
Other Editions for Precalculus : Functions and Graphs
Ron Larson, Robert Hostetler and Bruce H. Edwards
ISBN13: 978-0618562619As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Precalculus Functions and Graphs: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.
Table of Contents
1. Functions and Their Graphs
Introduction to Library of Functions
1.1 Lines in the Plane
1.2 Functions
1.3 Graphs of Functions
1.4 Shifting, Reflecting, and Stretching Graphs
1.5 Combinations of Functions
1.6 Inverse Functions
1.7 Exploring Data: Linear Models and Scatter Plots
2. Polynomial and Rational Functions
2.1 Quadratic Functions
2.2 Polynomial Functions of Higher Degree
2.3 Real Zeros of Polynomial Functions
2.4 Complex Numbers
2.5 The Fundamental Theorem of Algebra
2.6 Rational Functions and Asymptotes
2.7 Graphs of Rational Functions
2.8 Exploring Data: Quadratic Models
3. and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
3.6 Exploring Data: Nonlinear Models
Cumulative Test: Chapters 1-3
4. Trigonometric Functions
4.1 Radian and Degree Measure
4.2 Trigonmetric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications and Models
5. Analytic Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations
5.4 Sum and Difference Formulas
5.5 Multiple-Anlge and Product-to-Sum Formulas
6. Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Vectors in the Plane
6.4 Vectors and Dot Products
6.5 Trigonometric Form of a Complex Number
Cumulative Test: Chapters 4-6
7. Linear Systems and Matrices
7.1 Solving Systems of Equations
7.2 Systems of Linear Equations in Two Variables
7.3 Multivariable Linear Systems
7.4 Matrices and Systems of Equations
7.5 Operations with Matrices
7.6 The Inverse of a Square Matrix
7.7 The Determinant of a Square Matrix
7.8 Applications of Matrices and Determinants
8. Sequences, Series, and Probability
8.1 Sequences and Series
8.2 Arithmetic Sequences and Partial Sums
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Counting Principles
8.7 Probability
9. Topics in Analytic Geometry
9.1 Introduction to Conics: Parabolas
9.2 Ellipses
9.3 Hyperbolas
9.4 Rotation and Systems of Quadratic Equations
9.5 Parametric Equations
9.6 Polar Coordinates
9.7 Graphs of Polar Equations
9.8 Polar Equations of Conics
Cumulative Test: Chapters 7-9
Appendix A Technology Support
Appendix B Review of Graphs, Equations, and Inequalities
B.1 The Cartesian Plane
B.2 Graphs of Equations
B.3 Solving Equations Algebraically and Graphically
B.4 Solving Inequalities Algebraically and Graphically
B.5 Exploring Data: Representing Data Graphically
Appendix C Proofs of Selected Theorems
Appendix D Concepts in Statistics
D.1 Measures of Central Tendency and Dispersion
D.2 Least Squares Regression
Appendix E Solving Linear Equations and Inequalities
Appendix F Systems of Inequalities
F.1 Solving Systems of Inequalities
F.2 Linear Programming
Other Editions for Precalculus : Functions and Graphs