Precalculus Functions and Graphs

by Swokowski, Earl; Cole, Jeffery

• ISBN13: 9780534377571
• ISBN10: 0534377572
• Additional ISBN(s): 9780534352639, 9780534435745
• Format: Hardcover
• Copyright: 2001-07-27
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

The Ninth Edition of Swokowski Cole's highly respected precalculus text retains the elements that have made it so popular with instructors and students alike; the time-tested exercise sets feature a variety of applications; its exposition is clear; its uncluttered layout is appealing; and the difficulty level of problems is appropriate and consistent. With these elements the authors succeed in preparing students for calculus. PRECALCULUS: FUNCTIONS AND GRAPHS, 9/e is mathematically sound and has excellent problem sets. In this edition, all of the chapters now include numerous technology inserts and examples with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a graphing calculator for the first time. The new design of the text makes the technology inserts easily identifiable, allowing professors to skip them if desired.

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