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Precalculus : Functions and Graphs,9780534396435
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Precalculus : Functions and Graphs

by
Edition:
1st
ISBN13:

9780534396435

ISBN10:
0534396437
Format:
Paperback
Pub. Date:
11/29/2001
Publisher(s):
Brooks Cole

Questions About This Book?

What version or edition is this?
This is the 1st edition with a publication date of 11/29/2001.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.

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Summary

Provides detailed solutions for odd-numbered exercises.

Table of Contents

List of Graphing Calculator Topics
vii
Preface ix
Topics from Algebra
1(134)
Real Numbers
2(17)
Exponents and Radicals
19(12)
Algebraic Expressions
31(16)
Equations
47(19)
Complex Numbers
66(7)
Inequalities
73(13)
Rectangular Coordinate Systems
86(23)
Lines
109(26)
Review Exercises
128(4)
Discussion Exercises
132(3)
Functions
135(84)
Definition of Function
136(17)
Graphs of Functions
153(16)
Quadratic Functions
169(15)
Operations on Functions
184(11)
Inverse Functions
195(10)
Variation
205(14)
Review Exercises
212(5)
Discussion Exercises
217(2)
Polynomial and Rational Functions
219(64)
Polynomial Functions of Degree Greater Than 2
220(11)
Properties of Division
231(8)
Zeros of Polynomials
239(14)
Complex and Rational Zeros of Polynomials
253(8)
Rational Functions
261(22)
Review Exercises
279(2)
Discussion Exercises
281(2)
Exponential and Logarithmic Functions
283(66)
Exponential Functions
284(12)
The Natural Exponential Function
296(10)
Logarithmic Functions
306(16)
Properties of Logarithms
322(8)
Exponential and Logarithmic Equations
330(19)
Review Exercises
343(3)
Discussion Exercises
346(3)
The Trigonometric Functions
349(102)
Angles
350(11)
Trigonometric Functions of Angles
361(18)
Trigonometric Functions of Real Numbers
379(19)
Values of the Trigonometric Functions
398(8)
Trigonometric Graphs
406(15)
Additional Trigonometric Graphs
421(8)
Applied Problems
429(22)
Review Exercises
442(7)
Discussion Exercises
449(2)
Analytic Trigonometry
451(68)
Verifying Trigonometric Identities
452(6)
Trigonometric Equations
458(15)
The Addition and Subtraction Formulas
473(11)
Multiple-Angle Formulas
484(10)
Product-to-Sum and Sum-to-Product Formulas
494(5)
The Inverse Trigonometric Functions
499(20)
Review Exercises
515(3)
Discussion Exercises
518(1)
Applications of Trigonometry
519(64)
The Law of Sines
520(10)
The Law of Cosines
530(9)
Vectors
539(15)
The Dot Product
554(11)
Trigonometric Form for Complex Numbers
565(7)
De Moivre's Theorem and nth Roots of Complex Numbers
572(11)
Review Exercises
578(4)
Discussion Exercises
582(1)
Systems of Equations and Inequalities
583(96)
Systems of Equations
584(9)
Systems of Linear Equations in Two Variables
593(9)
Systems of Inequalities
602(9)
Linear Programming
611(9)
Systems of Linear Equations in More Than Two Variables
620(15)
The Algebra of Matrices
635(10)
The Inverse of a Matrix
645(7)
Determinants
652(7)
Properties of Determinants
659(8)
Partial Fractions
667(12)
Review Exercises
673(3)
Discussion Exercises
676(3)
Sequences, Series, and Probability
679(84)
Infinite Sequences and Summation Notation
680(16)
Arithmetic Sequences
696(7)
Geometric Sequences
703(9)
Mathematical Induction
712(7)
The Binomial Theorem
719(9)
Permutations
728(7)
Distinguishable Permutations and Combinations
735(9)
Probability
744(19)
Review Exercises
757(3)
Discussion Exercises
760(3)
Topics from Analytic Geometry
763(78)
Parabolas
764(10)
Ellipses
774(14)
Hyperbolas
788(12)
Plane Curves and Parametric Equations
800(15)
Polar Coordinates
815(16)
Polar Equations of Conics
831(10)
Review Exercises
837(2)
Discussion Exercises
839(2)
Appendixes 841
I Common Graphs and Their Equations
842
II A Summary of Graph Transformations
844
III Graphs of Trigonometric Functions and Their Inverses
846
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle
848
Answers to Selected Exercises A1
Index of Applications A83
Index A87


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