Precalculus with Limits : A Graphing Approach

by Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

• ISBN13: 9780618394784
• ISBN10: 0618394788
• Additional ISBN(s): 9780618052912, 9780618851522
• Edition: 4th
• Format: Hardcover
• Copyright: 2004-02-05
• Publisher: Cengage Learning
• More Book Details

Summary

For a full description, see Larson et al., College Algebra: A Graphing Approach, 3/e.

Table of Contents

A Word from the Authors (Preface)	viii
Features Highlights	xii
Functions and Their Graphs	1	(86)
Introduction to Library of Functions	2	(1)
Lines in the Plane	3	(13)
Functions	16	(14)
Graphs of Functions	30	(12)
Shifting, Reflecting, and Stretching Graphs	42	(9)
Combinations of Functions	51	(11)
Inverse Functions	62	(10)
Exploring Data: Linear Models and Scatter Plots	72	(15)
Chapter Summary	81	(1)
Review Exercises	82	(4)
Chapter Test	86	(1)
Polynomial and Rational Functions	87	(88)
Quadratic Functions	88	(11)
Polynomial Functions of Higher Degree	99	(13)
Real Zeros of Polynomial Functions	112	(15)
Complex Numbers	127	(8)
The Fundamental Theorem of Algebra	135	(7)
Rational Functions and Asymptotes	142	(10)
Graphs of Rational Functions	152	(9)
Exploring Data: Quadratic Models	161	(14)
Chapter Summary	168	(1)
Review Exercises	169	(5)
Chapter Test	174	(1)
Exponential and Logarithmic Functions	175	(72)
Exponential Functions and Their Graphs	176	(12)
Logarithmic Functions and Their Graphs	188	(11)
Properties of Logarithms	199	(7)
Solving Exponential and Logarithmic Equations	206	(11)
Exponential and Logarithmic Models	217	(12)
Exploring Data: Nonlinear Models	229	(18)
Chapter Summary	238	(1)
Review Exercises	239	(5)
Chapter Test	244	(1)
Cumulative Test: Chapters 1--3	245	(2)
Trigonometric Functions	247	(92)
Radian and Degree Measure	248	(11)
Trigonometric Functions: The Unit Circle	259	(8)
Right Triangle Trigonometry	267	(11)
Trigonometric Functions of Any Angle	278	(9)
Graphs of Sine and Cosine Functions	287	(11)
Graphs of Other Trigonometric Functions	298	(11)
Inverse Trigonometric Functions	309	(11)
Applications and Models	320	(19)
Chapter Summary	332	(1)
Review Exercises	333	(5)
Chapter Test	338	(1)
Analytic Trigonometry	339	(52)
Using Fundamental Identities	340	(8)
Verifying Trigonometric Identities	348	(8)
Solving Trigonometric Equations	356	(12)
Sum and Difference Formulas	368	(7)
Multiple-Angle and Product-to-Sum Formulas	375	(16)
Chapter Summary	386	(1)
Review Exercises	387	(3)
Chapter Test	390	(1)
Additional Topics in Trigonometry	391	(60)
Law of Sines	392	(9)
Law of Cosines	401	(7)
Vectors in the Plane	408	(14)
Vectors and Dot Products	422	(10)
Trigonometric Form of a Complex Number	432	(19)
Chapter Summary	443	(1)
Review Exercises	444	(4)
Chapter Test	448	(1)
Cumulative Test: Chapters 4--6	449	(2)
Linear Systems and Matrices	451	(104)
Solving Systems of Equations	452	(11)
Systems of Linear Equations in Two Variables	463	(10)
Multivariable Linear Systems	473	(16)
Matrices and Systems of Equations	489	(15)
Operations with Matrices	504	(15)
The Inverse of a Square Matrix	519	(9)
The Determinant of a Square Matrix	528	(8)
Applications of Matrices and Determinants	536	(19)
Chapter Summary	546	(2)
Review Exercises	548	(6)
Chapter Test	554	(1)
Sequences, Series, and Probability	555	(76)
Sequences and Series	556	(11)
Arithmetic Sequences and Partial Sums	567	(9)
Geometric Sequences and Series	576	(10)
Mathematical Induction	586	(8)
The Binomial Theorem	594	(8)
Counting Principles	602	(10)
Probability	612	(19)
Chapter Summary	625	(1)
Review Exercises	626	(4)
Chapter Test	630	(1)
Topics in Analytic Geometry	631	(74)
Introduction to Conics: Parabolas	632	(8)
Ellipses	640	(9)
Hyperbolas	649	(10)
Rotation and Systems of Quadratic Equations	659	(9)
Parametric Equations	668	(8)
Polar Coordinates	676	(6)
Graphs of Polar Equations	682	(9)
Polar Equations of Conics	691	(14)
Chapter Summary	698	(1)
Review Exercises	699	(4)
Chapter Test	703	(1)
Cumulative Test: Chapters 7--9	704	(1)
Analytic Geometry in Three Dimensions	705	(36)
The Three-Dimensional Coordinate System	706	(8)
Vectors in Space	714	(7)
The Cross Product of Two Vectors	721	(7)
Lines and Planes in Space	728	(13)
Chapter Summary	737	(1)
Review Exercises	738	(2)
Chapter Test	740	(1)
Limits and an Introduction to Calculus	741
Introduction to Limits	742	(11)
Techniques for Evaluating Limits	753	(10)
The Tangent Line Problem	763	(10)
Limits at Infinity and Limits of Sequences	773	(9)
The Area Problem	782
Chapter Summary	790	(1)
Review Exercises	791	(3)
Chapter Test	794	(1)
Cumulative Test: Chapters 10--11	795
Appendices
Appendix A Technology Support Guide	1	(24)
Appendix B Review of Graphs, Equations, and Inequalities	25	(59)
The Cartesian Plane	25	(11)
Graphs of Equations	36	(11)
Solving Equations Algebraically and Graphically	47	(16)
Solving Inequalities Algebraically and Graphically	63	(12)
Exploring Data: Representing Data Graphically	75	(9)
Appendix C Proofs of Selected Theorems	84	(14)
Appendix D Concepts in Statistics	98	(11)
Measures of Central Tendency and Dispersion	98	(9)
Least Squares Regression	107	(2)
Appendix E Solving Linear Equations and Inequalities	109	(3)
Appendix F Systems of Inequalities	112	(19)
Solving Systems of Inequalities	112	(10)
Linear Programming	122	(9)
Answers to Odd-Numbered Exercises and Tests	131	(142)
Index of Applications	273	(4)
Index	277