Precalculus: A Graphing Approach

by LARSON

• ISBN13: 9780669418125
• ISBN10: 0669418129
• Edition: 2nd
• Format: Paperback
• Copyright: 1996-11-12
• Publisher: Brooks Cole

Table of Contents

P Prerequisites	1	(195)
Real Numbers	2	(11)
Exponents and Radicals	13	(13)
Polynomials and Factoring	26	(13)
Fractional Expressions	39	(10)
The Cartesian Plane	49	(10)
Exploring Data: Representing Data Graphically	59	(16)
Focus on Concepts	68	(1)
Review Exercises	69	(3)
Chapter Project: Modeling the Volume of a Box	72	(1)
Chapter Test	73	(1)
Library of Functions	74	(1)
Functions and Their Graphs	75	(92)
Graphs and Graphing Utilities	76	(12)
Lines in the Plane	88	(15)
Functions	103	(13)
Graphs of Functions	116	(12)
Shifting, Reflecting, and Stretching Graphs	128	(10)
Combinations of Functions	138	(12)
Inverse Functions	150	(17)
Focus on Concepts	161	(1)
Review Exercises	162	(3)
Chapter Project: Modeling the Area of a Plot	165	(1)
Chapter Test	166	(1)
Intercepts, Zeros, and Solutions	167	(76)
Linear Equations and Modeling	168	(12)
Solving Equations Graphically	180	(11)
Complex Numbers	191	(9)
Solving Equations Algebraically	200	(16)
Solving Inequalities Algebraically and Graphically	216	(12)
Exploring Data: Linear Models and Scatter Plots	228	(15)
Focus on Concepts	237	(1)
Review Exercises	238	(3)
Chapter Project: Mozart and the Golden Ratio	241	(1)
Cumulative Test for Chapters P-2	242	(1)
Polynomial and Rational Functions	243	(72)
Quadratic Functions	244	(11)
Polynomial Functions of Higher Degree	255	(12)
Real Zeros of Polynomial Functions	267	(14)
The Fundamental Theorem of Algebra	281	(8)
Rational Functions and Asymptotes	289	(10)
Graphs of Rational Functions	299	(16)
Focus on Concepts	308	(1)
Review Exercises	309	(4)
Chapter Project: Graphs of Polynomial and Rational Functions	313	(1)
Chapter Test	314	(1)
Exponential and Logarithmic Functions	315	(72)
Exponential Functions and Their Graphs	316	(14)
Logarithmic Functions and Their Graphs	330	(11)
Properties of Logarithms	341	(7)
Solving Exponential and Logarithmic Equations	348	(11)
Exponential and Logarithmic Models	359	(13)
Exploring Data: Nonlinear Models	372	(15)
Focus on Concepts	380	(1)
Review Exercises	381	(4)
Chapter Project: A Graphical Approach to Compound Interest	385	(1)
Cumulative Test for Chapters 3-4	386	(1)
Trigonometric Functions	387	(92)
Angles and Their Measure	388	(12)
Right Triangle Trigonometry	400	(12)
Trigonometric Functions of Any Angle	412	(13)
Graphs of Sine and Cosine Functions	425	(12)
Graphs of Other Trigonometric Functions	437	(12)
Inverse Trigonometric Functions	449	(11)
Applications and Models	460	(19)
Focus on Concepts	472	(1)
Review Exercises	473	(4)
Chapter Project: Fitting a Model to Data	477	(1)
Chapter Test	478	(1)
Analytic Trigonometry	479	(52)
Using Fundamental Identities	480	(8)
Verifying Trigonometric Identities	488	(7)
Solving Trigonometric Equations	495	(12)
Sum and Difference Formulas	507	(8)
Multiple-Angle and Product-Sum Formulas	515	(16)
Focus on Concepts	526	(1)
Review Exercises	527	(2)
Chapter Project: Projectile Motion	529	(1)
Chapter Test	530	(1)
Additional Topics in Trigonometry	531	(60)
Law of Sines	532	(9)
Law of Cosines	541	(8)
Vectors in the Plane	549	(14)
Vectors and Dot Products	563	(10)
DeMoivre's Theorem	573	(18)
Focus on Concepts	584	(1)
Review Exercises	585	(4)
Chapter Project: Adding Vectors Graphically	589	(1)
Cumulative Test for Chapters 5-7	590	(1)
Systems of Equations and Inequalities	591	(70)
Solving Systems of Equations	592	(11)
Systems of Linear Equations in Two Variables	603	(12)
Multivariable Linear Systems	615	(12)
Partial Fractions	627	(7)
Systems of Inequalities	634	(10)
Linear Programming	644	(17)
Focus on Concepts	655	(1)
Review Exercises	656	(3)
Chapter Project: Fitting Models to Data	659	(1)
Chapter Test	660	(1)
Matrices and Determinants	661	(66)
Matrices and Systems of Equations	662	(15)
Operations with Matrices	677	(14)
The Inverse of a Square Matrix	691	(9)
The Determinant of a Square Matrix	700	(9)
Applications of Matrices and Determinants	709	(18)
Focus on Concepts	720	(1)
Review Exercises	721	(4)
Chapter Project: Row Operations and Graphing	725	(1)
Chapter Test	726	(1)
Sequences and Probability	727	(80)
Sequences and Summation Notation	728	(11)
Arithmetic Sequences	739	(9)
Geometric Sequences	748	(10)
Mathematical Induction	758	(11)
The Binomial Theorem	769	(8)
Counting Principles	777	(10)
Probability	787	(20)
Focus on Concepts	801	(1)
Review Exercises	802	(3)
Chapter Project: Exploring Difference Quotients	805	(1)
Chapter Test	806	(1)
Topics in Analytic Geometry	807	(1)
Conics	808	(14)
Translations of Conics	822	(9)
Parametric Equations	831	(9)
Polar Coordinates	840	(7)
Graphs of Polar Equations	847	(9)
Polar Equations of Conics	856	(8)
Focus on Concepts	864	(1)
Review Exercises	865	(2)
Chapter Project: Polar, Rectangular, and Parametric Forms	867	(1)
Cumulative Test for Chapters 8-11	868
Appendices
Appendix A Think About the Proof	A1
Appendix B Programs	A11
Answers
Answers to Odd-Numbered Exercises, Focus on Concepts, and Tests	A57
Indices
Index of Applications	A189
Index	A195