Precalculus

by Faires, J. Douglas; DeFranza, James

• ISBN13: 9780534371159
• ISBN10: 0534371159
• Format: Hardcover
• Copyright: 1999-08-27
• Publisher: Brooks Cole

Summary

Besides providing complete solutions to selected exercises in the text, this guide includes additional material for students who want a more intensive review of algebra and trigonometry. Also included in the guide are two copies of an examination - one copy to be taken at the beginning of the course to test their readiness for precalculus and a second copy to be used at the end of the course so students can assess their improvement and readiness for calculus.

Table of Contents

CHAPTER 1 FUNCTIONS	1	(119)
1.1 Introduction	2	(1)
1.2 The Real Line	3	(10)
1.3 The Coordinate Plane	13	(8)
1.4 Equations and Graphs	21	(6)
1.5 Using Technology to Graph Equations	27	(9)
1.6 Functions	36	(16)
1.7 Linear Functions	52	(9)
1.8 Quadratic Functions	61	(13)
1.9 Other Common Functions	74	(8)
1.10 Arithmetic Combinations of Functions	82	(8)
1.11 Composition of Functions	90	(9)
1.12 Inverse Functions	99	(12)
Review Exercises	111	(6)
Exercises for Calculus	117	(3)
CHAPTER 2 ALGEBRAIC FUNCTIONS	120	(67)
2.1 Introduction	121	(1)
2.2 Polynomial Functions	122	(15)
2.3 Finding Factors and Zeros of Polynomials	137	(12)
2.4 Rational Functions	149	(17)
2.5 Other Algebraic Functions	166	(7)
2.6 Complex Roots of Polynomials	173	(7)
Review Exercises	180	(5)
Exercises for Calculus	185	(2)
CHAPTER 3 TRIGONOMETRIC FUNCTIONS	187	(89)
3.1 Introduction	188	(4)
3.2 The Sine and Cosine Functions	192	(11)
3.3 Graphs of the Sine and Cosine Functions	203	(12)
3.4 Other Trigonometric Functions	215	(8)
3.5 Trigonometric Identities	223	(11)
3.6 Right-Triangle Trigonometry	234	(10)
3.7 Inverse Trigonometric Functions	244	(11)
3.8 Applications of Trigonometric Functions	255	(15)
Review Exercises	270	(3)
Exercises for Calculus	273	(3)
CHAPTER 4 EXPONENTIAL AND LOGARITHM FUNCTIONS	276	(36)
4.1 Introduction	277	(2)
4.2 The Natural Exponential Function	279	(12)
4.3 Logarithm Functions	291	(10)
4.4 Exponential Growth and Decay	301	(7)
Review Exercises	308	(2)
Exercises for Calculus	310	(2)
CHAPTER 5 CONIC SECTIONS, POLAR COORDINATES, AND PARAMETRIC EQUATIONS	312	(55)
5.1 Introduction	314	(2)
5.2 Parabolas	316	(7)
5.3 Ellipses	323	(9)
5.4 Hyperbolas	332	(8)
5.5 Polar Coordinates	340	(11)
5.6 Conic Sections in Polar Coordinates	351	(6)
5.7 Parametric Equations	357	(5)
Review Exercises	362	(2)
Exercises for Calculus	364	(3)
ANSWERS TO SELECTED EXERCISES	367	(60)
INDEX	427