Precalculus with Limits A Graphing Approach

Precalculus with Limits A Graphing Approach Precalculus with Limits A Graphing Approach

ISBN: 9781111427641 / 111142764X

Table of Contents

Chapter 1

Functions And Their Graphs

1.1 Lines in the Plane Exercises p.11
1.2 Functions Exercises p.24
1.3 Graphs of Functions Exercises p.37
1.4 Shifting, Reflecting, and Stretching Graphs Exercises p.47
1.5 Combinations of Functions Exercises p.56
1.6 Inverse Functions Exercises p.67
1.7 Linear Models and Scatter Plots Exercises p.76
Review Exercises Chapter 1 p.82
Chapter 1 Test p.86

Chapter 2

Polynomial And Rational Functions

2.1 Quadratic Functions Exercises p.96
2.2 Polynomial Functions of Higher Degree Exercises p.109
2.3 Real Zeros of Polynomial Functions Exercises p.124
2.4 Complex Numbers Exercises p.133
2.5 The Fundamental Theorem of Algebra Exercises p.140
2.6 Rational Functions and Asymptotes Exercises p.147
2.7 Graphs of Rational Functions Exercises p.157
2.8 Quadratic Models Exercises p.165
Review Exercises Chapter 2 p.170
Chapter 2 Test p.175

Chapter 3

Exponential And Logarithmic Functions

3.1 Exponential Functions and Their Graphs Exercises p.189
3.2 Logarithmic Functions and Their Graphs Exercises p.199
3.3 Properties of Logarithms Exercises p.207
3.4 Solving Exponential and Logarithmic Models Exercises p.217
3.5 Exponential and Logarithmic Models Exercises p.228
3.6 Nonlinear Models Exercises p.238
Review Exercises Chapter 3 p.244
Chapter 3 Test p.248
Chapter 1-3 Cumulative Test p.249

Chapter 4

Trigonometric Functions

4.1 Radian and Degree Measure Exercises p.261
4.2 Trigonometric Functions: The Unit Circle Exercises p.270
4.3 Right Triangle Trigonometry Exercises p.280
4.4 Trigonometric Functions of Any Angle Exercises p.289
4.5 Graphs of Sine and Cosine Functions Exercises p.299
4.6 Graphs of Other Trigonometric Functions Exercises p.311
4.7 Inverse Trigonometric Functions Exercises p.322
4.8 Applications and Models Exercises p.332
Review Exercises Chapter 4 p.340
Chapter 4 Test p.345

Chapter 5

Analytic Trigonometry

5.1 Using Fundamental Identities Exercises p.354
5.2 Verifying Trigonometric Identities Exercises p.362
5.3 Solving Trigonometric Equations Exercises p.373
5.4 Sum and Difference Formulas Exercises p.381
5.5 Multiple-Angle and Product-to-Sum Formulas Exercises p.390
Review Exercises Chapter 5 p.396
Chapter 5 Test p.399

Chapter 6

Additional Topics In Trigonometry

6.1 Law of Sines Exercises p.410
6.2 Law of Cosines Exercises p.417
6.3 Vectors in the Plane Exercises p.429
6.4 Vectors and Dot Products Exercises p.440
6.5 Trigonometric Form of a Complex Number Exercises p.452
Review Exercises Chapter 6 p.458
Chapter 6 Test p.461
4-6 Cumulative Test p.462

Chapter 7

Linear Systems And Matrices

7.1 Solving Systems of Equations Exercises p.476
7.2 Systems of Linear Equations in Two Variables Exercises p.485
7.3 Multivariable Linear Systems Exercises p.499
7.4 Matrices and Systems of Equations Exercises p.513
7.5 Operations with Matrices Exercises p.527
7.6 The Inverse of a Square Matrix Exercises p.538
7.7 The Determinant of a Square Matrix Exercises p.545
7.8 Applications of Matrices and Determinants Exercises p.556
Review Exercises Chapter 7 p.560
Chapter Test p.566

Chapter 8

Sequences, Series, And Probability

8.1 Sequences and Series Exercises p.577
8.2 Arithmetic Sequences and Partial Sums Exercises p.586
8.3 Geometric Sequences and Series Exercises p.595
8.4 The Binomial Theorem Exercises p.604
8.5 Counting Principles Exercises p.613
8.6 Probability Exercises p.622
Review Exercises Chapter 8 p.628
Chapter Test p.631

Chapter 9

Topics In Analytic Geometry

9.1 Conics: Circles and Parabolas Exercises p.643
9.2 Ellipses Exercises p.653
9.3 Hyperbolas and Rotation of Conics Exercises p.665
9.4 Parametric Equations Exercises p.674
9.5 Polar Coordinates Exercises p.681
9.6 Graphs of Polar Equations Exercises p.689
9.7 Polar Equations of Conics Exercises p.695
Review Exercises Chapter 9 p.700
Chapter 9 Test p.704
Chapter 7-9 Cumulative Test p.705

Chapter 10

Analytic Geometry In Three Dimensions

10.1 The Three-Dimensional Coordinate System Exercises p.716
10.2 Vectors in Space Exercises p.724
10.3 The Cross Product of Two Vectors Exercises p.731
10.4 Line and Planes in Space Exercises p.740
Review Exercises Chapter 10 p.744
Chapter 10 Test p.746

Chapter 11

Limits And An Introduction To Calculus

11.1 Introduction to Limits Exercises p.757
11.2 Techniques for Evaluating Limits Exercises p.767
11.3 The Tangent Line Problem Exercises p.777
11.4 Limits at Infinity and Limits of Sequences Exercises p.786
11.5 The Area Problem Exercises p.794
Review Exercises Chapter 11 p.798
Chapter 11 Test p.801
Chapter 10-11 Cumulative Review p.802
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