Precalculus Functions and Graphs

by Swokowski, Earl W.; Cole, Jeffrey A.

• ISBN13: 9780534937027
• ISBN10: 0534937020
• Format: Hardcover
• Copyright: 1993-12-01
• Publisher: Brooks Cole

Summary

Provides detailed solutions for odd-numbered exercises.

Table of Contents

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