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Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text popular among students year after year. This latest edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains these features. The problems have been consistently praised for being at just the right level for precalculus students like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics.
Table of Contents
Topics From Algebra
Exponents and Radicals
Rectangular Coordinate Systems
Chapter 1 Review Exercises.
Chapter 1 Discussion Exercises
Definition of Function
Graphs of Functions
Operations on Functions
Chapter 2 Review Exercises.
Chapter 2 Discussion Exercises
Polynomial And Rational Functions
Polynomial Functions of Degree Greater than 2
Properties of Division
Zeros of Polynomials
Complex and Rational Zeros of Polynomials
Chapter 3 Review Exercises.
Chapter 3 Discussion Exercises
Exponential And Logarithmic Functions
The Natural Exponential Function
Properties of Logarithms
Exponential and Logarithmic Equations.
Chapter 4 Review Exercises.
Chapter 4 Discussion Exercises
The Trigonometric Functions
Trigonometric Functions of Angles
Trigonometric Functions of Real Numbers
Values of the Trigonometric Functions
Additional Trigonometric Graphs
Chapter 5 Review Exercises.
Chapter 5 Discussion Exercises
Verifying Trigonometric Identities
The Addition and Subtraction Formulas
Product-to-Sum and Sum-to-Product Formulas
The Inverse Trigonometric Functions.
Chapter 6 Review Exercises.
Chapter 6 Discussion Exercises
Applications Of Trigonometry
The Law of Sines
The Law of Cosines
Trigonometric Form for Complex Numbers
DeMoivre's Theorem and nth Roots of Complex Numbers
The Dot Product.
Chapter 7 Review Exercises.
Chapter 7 Discussion Exercises
Systems Of Equations And Inequalities
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Linear Equations in More than Two Variables
Systems of Inequalities
The Algebra of Matrices
The Inverse of a Matrix
Properties of Determinants.
Chapter 8 Review Exercises.
Chapter 8 Discussion Exercises
Sequences, Series, and Probability
Infinite Sequences and Summation Notation
The Binomial Theorem
Distinguishable Permutations and Combinations
Chapter 9 Review Exercises.
Chapter 9 Discussion Exercises
Topics From Analytic Geometry
Plane Curves and Parametric Equations
Polar Equations of Conics.
Chapter 10 Review Exercises.
Chapter 10 Discussion Exercises
Using a TI-82/83 Graphing Calculator
Common Graphs and Their Equations
A Summary of Graph Transformations
Graphs of the Trigonometric Functions and Their Inverses
Answers to Selected Exercises
Index of Applications
Table of Contents provided by Publisher. All Rights Reserved.