# Alignment: Precalculus with Limits • Ron Larson • A Graphing Approach • Texas Edition • Sixth Edition

Use Nagwa in conjunction with your preferred textbook. The recommended lessons from Nagwa for each section of this textbook are provided below. This alignment is not affiliated with, sponsored by, or endorsed by the publisher of the referenced textbook. Nagwa is a registered trademark of Nagwa Limited. All other trademarks and registered trademarks are the property of their respective owners.

• Chapter 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 Linear Models and Scatter Plots
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• Chapter 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 Quadratic Models
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• Progressive Summary (Chapters 1 and 2)
• Chapter 3 Exponential 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
• Extension: Modeling with Transformations
• 3.6 Nonlinear Models
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test: Chapters 1–3
• Proofs in Mathematics
• Progressive Summary (Chapters 1–3)
• Chapter 4 Trigonometric Functions
• 4.1 Radian and Degree Measure
• 4.2 Trigonometric 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
• Chapter Summary
• Review Exercises
• Chapter Test
• Library of Parent Functions Review
• Proofs in Mathematics
• Chapter 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-Angle and Product-To-Sum Formulas
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• Chapter 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
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test: Chapters 4–6
• Proofs in Mathematics
• Progressive Summary (Chapters 1–6)
• Chapter 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
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• Chapter 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 The Binomial Theorem
• 8.5 Counting Principles
• 8.6 Probability
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• Chapter 9 Topics in Analytic Geometry
• 9.1 Conics: Circles and Parabolas
• 9.2 Ellipses
• 9.3 Hyperbolas and Rotation of Conics
• 9.4 Parametric Equations
• 9.5 Polar Coordinates
• 9.6 Graphs of Polar Equations
• 9.7 Polar Equations of Conics
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test: Chapters 7–9
• Proofs in Mathematics
• Progressive Summary (Chapters 3–9)
• Chapter 10 Analytic Geometry in Three Dimensions
• 10.1 The Three-Dimensional Coordinate System
• 10.2 Vectors in Space
• 10.3 The Cross Product of Two Vectors
• 10.4 Lines and Planes in Space
• Chapter Summary
• Review Exercises
• Chapter Test
• Proofs in Mathematics
• Chapter 11 Limits and an Introduction to Calculus
• 11.1 Introduction to Limits
• 11.2 Techniques for Evaluating Limits
• 11.3 The Tangent Line Problem
• 11.4 Limits at Infinity and Limits of Sequences
• Extension: Describing End Behavior of Functions
• 11.5 The Area Problem
• Chapter Summary
• Review Exercises
• Chapter Test
• Cumulative Test: Chapters 10–11
• Proofs in Mathematics
• Progressive Summary (Chapters 3–11)
• Appendix A Technology Support Guide
• Appendix B Concepts in Statistics
• B.1 Representing Data Graphically
• B.2 Measures of Central Tendency and Dispersion
• B.3 Least Squares Regression
• Appendix C Review of Graphs, Equations, and Inequalities
• C.1 The Cartesian Plane
• C.2 Graphs of Equations
• C.3 Solving Equations Algebraically and Graphically
• C.4 Solving Inequalities Algebraically and Graphically
• Extension: Solving Real-Life Rational Inequalities
• Appendix D Variation
• Appendix E Solving Linear Equations and Inequalities
• Appendix F Systems of Inequalities
• F.1 Solving Systems of Inequalities
• F.2 Linear Programming
• Appendix G Mathematical Induction
• Answers to Odd-Numbered Exercises and Tests
• Index of Selected Applications
• Index