Precalculus: Functions and Graphs, 4th edition
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Overview
Precalculus: Functions and Graphs provides the essential strategies for making the transition to calculus. This text emphasizes problem solving and critical thinking. You’ll find carefully placed learning aids and review tools to help you learn the math without getting distracted.
Published by Pearson (July 14th 2021)  Copyright © 2013
ISBN13: 9780137523191
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
Table of Contents
 Equations, Inequalities, and Modeling
 11 Equations in One Variable
 12 Constructing Models to Solve Problems
 13 Equations and Graphs in Two Variables
 14 Linear Equations in Two Variables
 15 Scatter Diagrams and Curve Fitting
 16 Complex Numbers
 17 Quadratic Equations
 18 Linear and Absolute Value Inequalities
 Chapter 1 Highlights
 Chapter 1 Review Exercises
 Chapter 1 Test
 Concepts of Calculus: Limits
 Functions and Graphs
 21 Functions
 22 Graphs of Relations and Functions
 23 Families of Functions, Transformations, and Symmetry
 24 Operations with Functions
 25 Inverse Functions
 26 Constructing Functions with Variation
 Chapter 2 Highlights
 Chapter 2 Review Exercises
 Chapter 2 Test
 Tying it all Together
 Concepts of Calculus: Instantaneous Rate of Change
 Polynomial and Rational Functions
 31 Quadratic Functions and Inequalities
 32 Zeroes of Polynomial Functions
 33 The Theory of Equations
 34 Miscellaneous Equations
 35 Graphs of Polynomial Functions
 36 Rational Functions and Inequalities
 Chapter 3 Highlights
 Chapter 3 Review Exercises
 Chapter 3 Test
 Tying it all Together
 Concepts of Calculus: Instantaneous Rate of Change of the Power Functions
 Exponential and Logarithmic Functions
 41 Exponential Functions and Their Applications
 42 Logarithmic Functions and Their Applications
 43 Rules of Logarithms
 44 More Equations and Applications
 Chapter 4 Highlights
 Chapter 4 Review Exercises
 Chapter 4 Test
 Tying it all Together
 Concepts of Calculus: The Instantaneous Rate of Change of f(x)= ex
 The Trigonometric Functions
 51 Angles and Their Measurements
 52 The Sine and Cosine Functions
 53 The Graphs of the Sine and Cosine Functions
 54 The Other Trigonometric Functions and Their Graphs
 55 The Inverse Trigonometric Functions
 56 Right Triangle Trigonometry
 Chapter 5 Highlights
 Chapter 5 Review Exercises
 Chapter 5 Test
 Tying it all Together
 Concepts of Calculus: Evaluating Transcendental Functions
 Trigonometric Identities and Conditional Equations
 61 Basic Identities
 62 Verifying Identities
 63 Sum and Difference Identities
 64 DoubleAngle and HalfAngle Identities
 65 Product and Sum Identities
 66 Conditional Trigonometric Functions
 Chapter 6 Highlights
 Chapter 6 Review Exercises
 Chapter 6 Test
 Tying it all Together
 Concepts of Calculus: Area of A Circle and n
 Applications of Trigonometry
 71 The Law of Sines
 72 The Law of Cosines
 73 Vectors
 74 Trigonometric Form of Complex Numbers
 75 Powers and Roots of Complex and Numbers
 76 Polar Equations
 Chapter 7 Highlights
 Chapter 7 Review Exercises
 Chapter 7 Test
 Tying it all Together
 Concepts of Calculus: Limits and Asymptotes
 Systems of Equations and Inequalities
 81 Systems of Linear Equations in Two Variables
 82 Systems of Linear Equations in Three Variables
 83 Nonlinear Systems of Inequalities
 84 Partial Fractions
 85 Inequalities and Systems of Inequalities in Two Variables
 86 The Linear Programming Model
 Chapter 8 Highlights
 Chapter 8 Review Exercises
 Chapter 8 Test
 Tying it all Together
 Concepts of Calculus: Instantaneous Rate of Change and Partial Fractions
 Matrices and Determinants
 91 Solving Linear Systems Using Matrices
 92 Operations with Matrices
 93 Multiplication of Matrices
 94 Inverses of Matrices
 95 Solution of Linear Systems in Two Variables Using Determinants
 96 Solution of Linear Systems in Three Variables Using Determinants
 Chapter 9 Highlights
 Chapter 9 Review Exercises
 Chapter 9 Test
 Tying it all Together
 The Conic Series
 101 The Parabola
 102 The Ellipse and the Circle
 103 The Hyperbola
 104 Rotation of Axes
 105 Polar Equations of the Conics
 Chapter 10 Highlights
 Chapter 10 Review Exercises
 Chapter 10 Test
 Tying it all Together
 Concepts of Calculus: The Reflection Property of a Parabola
 Sequences, Series, and Probability
 111 Sequences
 112 Series
 113 Geometric Sequences and Series
 114 Counting and Permutations
 115 Combinations, Labeling, and the Binomial Theorem
 116 Probability
 117 Mathematical Induction
 Chapter 11 Highlights
 Chapter 11 Review Exercises
 Chapter 11 Test
 Concepts of Calculus: Limits of Sequences
A. Appendix: Solutions to Try This Exercises
B. Appendix: Basic Algebra Review
 B1 Real Numbers and Their Properties
 B2 Exponents and Radicals
 B3 Polynomials
 B4 Factorials Polynomials
 B5 Rational Expressions
Credits
Answers to Selected Exercises
Index of Applications
Index
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