 # Larson Precalculus with Limits: A Graphing Approach ... Larson Precalculus with Limits: A Graphing ...

ISBN: 9780618851522 / 0618851526 ### Chapter 1

Functions And Their Graphs: Introduction To Library ...

 1.1 Lines in the Planes Lines in the Plane p.11 1.2 Functions Functions p.24 1.3 Graphs of the Functions Graphs of Functions p.38 1.4 Shifting, Reflecting, and Stretching Graphs Shifting, Reflecting, and Stretching Graphs p.48 1.5 Combination of Functions Combinations of Functions p.58 1.6 Inverse Functions Inverse Functions p.69 1.7 Linear Models and Scatter Plots Linear Models and Scatter Plots p.78 Review Exercises Chapter 1 p.83 Chapter 1 Test p.88

### Chapter 2

Polynomial And Rational Functions

 2.1 Quadratic Functions Quadratic Functions p.99 2.2 Polynomial Functions of Higher Degree Polynomial Functions of Higher Degree p.112 2.3 Real Zeros of Polynomial Functions Exercises p.127 2.4 Complex Numbers Complex Numbers p.137 2.5 The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra p.144 2.6 Rational Functions and Asymptotes Rational Functions and Asymptotes p.152 2.7 Graphs of Rational Functions Graphs of Rational Functions p.161 2.8 Quadratic Models Quadratic Models p.169 Review Exercises Chapter 2 p.173 Chapter 2 Test p.179

### Chapter 3

Exponential And Logarithmic Functions

 3.1 Exponential Functions and Their Graphs Exponential Functions and Their Graphs p.193 3.2 Logarithmic Functions and Their Graphs Logarithmic Functions and Their Graphs p.203 3.3 Properties of Logarithms Properties of Logarithms p.211 3.4 Solving Exponential and Logarithmic Equations Solving Exponential and Logarithmic Functions p.221 3.5 Exponential and Logarithmic Models Exponential and Logarithmic Models p.232 3.6 Nonlinear Models Nonlinear Models p.242 Chapter 3 Review Exercises p.247 Chapter 3 Test p.252 Chapter 1-3 Cumulative Test p.253

### Chapter 4

Trigonometric Functions

 4.1 Radian and Degree Measure Radian and Degree Measure p.265 4.2 Trigonometric Functions: The Unit Circle Trigonometric Functions: The Unit Circle p.274 4.3 Right Triangle Trigonometry Right Triangle Trigonometry p.284 4.4 Trigonometric Functions of Any Angle Trigonometric Functions of Any Angle p.294 4.5 Graphs of Sine and Cosine Functions Graphs of Sine and Cosine Functions p.304 4.6 Graphs of Other Trigonometric Functions Graphs of Other Trigonometric Functions p.316 4.7 Inverse Trigonometric Functions Inverse Trigonometric Functions p.327 4.8 Applications and Models Applications and Models p.337 Chapter 4 Review Exercises p.344 Chapter 4 Test p.349

### Chapter 5

Analytic Trigonometry

 5.1 Using Fundamental Identities Vocabulary Check p.357 Using Fundamental Identities p.357 5.2 Verifying Trigonometric Identities Vocabulary Check p.365 Verifying Trigonmetric Identities p.365 5.3 Solving Trigonometric Equations Vocabulary Check p.376 Solving Trigonometric Equations p.376 5.4 Sum and Difference Formulas Vocabulary Check p.384 Sum and Difference Formulas p.384 5.5 Multiple-Angle and Product-to-Sum Formulas Vocabulary Check p.394 Multiple-Angle and Product-to-Sum Formulas p.394 Chapter 5 Review Exercises p.400 Chapter 5 Test p.403

### Chapter 6

 6.1 Law of Sines Law of Sines p.414 6.2 Law of Cosines Law of Cosines p.421 6.3 Vectors in the Plane Vectors in the Plane p.433 6.4 Vectors and Dot Products Vectors and Dot Products p.445 6.5 Trigonometric Form of a Complex Number Trigonometric Form of a Complex Number p.456 Chapter 6 Review Exercises p.461 Chapter 6 Test p.465 4-6 Cumulative Test p.466

### Chapter 7

Linear System And Matrices

 7.1 Solving Systems of Equations Exercises p.481 7.2 Systems of Linear Equations in Two Variables Exercises p.491 7.3 Multivariable Linear Systems Exercises p.505 7.4 Matrices and Systems of Equations Exercises p.521 7.5 Operations with Matrices Exercises p.536 7.6 The Inverse of a Square Matrix Exercises p.547 7.7 The Determinant of a Square Matrix Exercises p.556 7.8 Application of Matrices and Determinants Exercises p.567 Review Exercises p.570 Chapter Test p.576

### Chapter 8

Sequences, Series, And Probability

 8.1 Sequences and Series Exercises p.587 8.2 Arithmetric Sequences and Partial Sums Exercises p.598 8.3 Geometric Sequences and Series Exercises p.607 8.4 Mathematical Induction Exercises p.617 8.5 The Binomial Theorem Exercises p.624 8.6 Counting Principles Exercises p.634 8.7 Probability Exercises p.645 Review Exercises p.651 Chapter Test p.655

### Chapter 9

Topics In Analytic Geometry

 9.1 Circles and Parabolas Exercises p.667 9.2 Ellipses Exercises p.677 9.3 Hyperbolas Exercises p.687 9.4 Rotation and Systems of Quadratic Equations Exercises p.697 9.5 Parametric Equations Exercises p.704 9.6 Polar Coordinates Exercises p.711 9.7 Graphs of Polar Equations Exercises p.720 9.8 Polar Equations of Conics Exercises p.726 Review Exercises p.730 Chapter Test p.734 Chapter 7-9 Cumulative Test p.735

### Chapter 10

Analytic Geometry In Three Dimensions

 10.1 The Three-Dimensional Coordinate System Exercises p.747 10.2 Vectors in Space Exercises p.755 10.3 The Cross Product of Two Vectors Exercises p.762 10.4 Lines and Planes in Space Exercises p.771 Review Exercises p.774 Chapter Test p.776

### Chapter 11

Limits And An Introduction To Calculus

 11.1 Introduction to Limits Exercises p.788 11.2 Techniques for Evaluating Limits Exercises p.798 11.3 The Tangent Line Problem Exercises p.808 11.4 Limits at Infinity and Limits of Sequences Exercises p.817 11.5 The Area Problem Exercises p.826 Review Exercises p.829 Chapter Test p.832 Chapter 10-11 Cumulative Review p.833
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