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Precalculus : A Graphing Approach,9780618394661
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Precalculus : A Graphing Approach

by
Edition:
4th
ISBN13:

9780618394661

ISBN10:
0618394664
Format:
Hardcover
Pub. Date:
1/15/2004
Publisher(s):
Brooks Cole

Questions About This Book?

What version or edition is this?
This is the 4th edition with a publication date of 1/15/2004.
What is included with this book?
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.

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Summary

As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Precalculus: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills. Enhanced accessibility to students is achieved through careful writing and design, including same-page examples and solutions, which maximize the readability of the text. Similarly, side-by-side solutions show algebraic, visual, and numeric representations of the mathematics to support students' various learning styles. New! The Library of Functions thread throughout the text provides a definition and list of characteristics for each elementary function and compares newly introduced functions to those already presented to increase students' understanding of these important concepts. A Library of Functions Summary also appears inside the front cover for quick reference. New! Technology Support notes provided at point-of-use throughout the text guide students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. These notes also direct students to the Graphing Technology Guide on the textbook web site for keystroke support. New! Technology Tips, also provided at point-of-use, call attention to the strengths and weaknesses of graphing technology. Some of these tips offer alternative methods for solving or checking a problem using technology. New! Because students are often misled by the jagged nature of graphs generated by graphing calculators, this text frequently highlights the path of a function in color on the calculator image. This unique design feature enables students to visualize the mathematical concepts clearly and accurately and avoid common misunderstandings. Study Tips at point-of-use throughout the text reinforce concepts and help students learn how to study mathematics. New! Checkpoint questions appear after each worked-out solution, directing students to work a similar exercise for further practice or concept reinforcement. These can be used by instructors in class to quickly check student understanding or by students to practice and study concepts. Chapter Review exercises, Chapter Tests, and periodic Cumulative Tests offer students frequent opportunities for self-assessment and help them to develop strong study- and test-taking skills. The Student Success Organizer is a valuable note-taking guide that helps students organize their class notes and create an effective study and review tool. New! Text-specific Tutorial Support is provided in numerous additional resources designed to help students succeed. These resources include live online tutoring, instructional DVDs and videos, and algorithmic tutorial support and self-assessment available on CD-ROM and the web. Explorations provided at point-of-use throughout the text can help instructors provide a quick introduction to concepts or reinforce student understanding. <

Table of Contents

A Word from the Authors (Preface) vi
Features Highlights x
Prerequisites
1(72)
Real Numbers
2(10)
Exponents and Radicals
12(12)
Polynomials and Factoring
24(13)
Rational Expressions
37(10)
The Cartesian Plane
47(11)
Exploring Data: Representing Data Graphically
58(15)
Chapter Summary
67(1)
Review Exercises
68(4)
Chapter Test
72(1)
Functions and Their Graphs
73(88)
Introduction to Library of Functions
74(1)
Graphs of Equations
75(11)
Lines in the Plane
86(13)
Functions
99(14)
Graphs of Functions
113(12)
Shifting, Reflecting, and Stretching Graphs
125(9)
Combinations of Functions
134(11)
Inverse Functions
145(16)
Chapter Summary
155(1)
Review Exercises
156(4)
Chapter Test
160(1)
Solving Equations and Inequalities
161(78)
Linear Equations and Problem Solving
162(10)
Solving Equations Graphically
172(11)
Complex Numbers
183(8)
Solving Equations Algebraically
191(19)
Solving Inequalities Algebraically and Graphically
210(12)
Exploring Data: Linear Models and Scatter Plots
222(17)
Chapter Summary
231(1)
Review Exercises
232(4)
Chapter Test
236(1)
Cumulative Test: Chapters P-2
237(2)
Polynomial and Rational Functions
239(80)
Quadratic Functions
240(11)
Polynomial Functions of Higher Degree
251(13)
Real Zeros of Polynomial Functions
264(15)
The Fundamental Theorem of Algebra
279(7)
Rational Functions and Asymptotes
286(10)
Graphs of Rational Functions
296(9)
Exploring Data: Quadratic Models
305(14)
Chapter Summary
312(1)
Review Exercises
313(5)
Chapter Test
318(1)
Exponential and Logarithmic Functions
319(72)
Exponential Functions and Their Graphs
320(12)
Logarithmic Functions and Their Graphs
332(11)
Properties of Logarithms
343(7)
Solving Exponential and Logarithmic Equations
350(11)
Exponential and Logarithmic Models
361(12)
Exploring Data: Nonlinear Models
373(18)
Chapter Summary
382(1)
Review Exercises
383(5)
Chapter Test
388(1)
Cumulative Test: Chapters 3-4
389(2)
Trigonometric Functions
391(88)
Angles and Their Measure
392(11)
Right Triangle Trigonometry
403(11)
Trigonometric Functions of Any Angle
414(13)
Graphs of Sine and Cosine Functions
427(11)
Graphs of Other Trigonometric Functions
438(11)
Inverse Trigonometric Functions
449(11)
Applications and Models
460(19)
Chapter Summary
472(1)
Review Exercises
473(5)
Chapter Test
478(1)
Analytic Trigonometry
479(52)
Using Fundamental Identities
480(8)
Verifying Trigonometric Identities
488(8)
Solving Trigonometric Equations
496(12)
Sum and Difference Formulas
508(7)
Multiple-Angle and Product-to-Sum Formulas
515(16)
Chapter Summary
526(1)
Review Exercises
527(3)
Chapter Test
530(1)
Additional Topics in Trigonometry
531(60)
Law of Sines
532(9)
Law of Cosines
541(7)
Vectors in the Plane
548(14)
Vectors and Dot Products
562(10)
Trigonometric Form of a Complex Number
572(19)
Chapter Summary
583(1)
Review Exercises
584(4)
Chapter Test
588(1)
Cumulative Test: Chapters 5-7
589(2)
Linear Systems and Matrices
591(104)
Solving Systems of Equations
592(11)
Systems of Linear Equations in Two Variables
603(10)
Multivariable Linear Systems
613(16)
Matrices and Systems of Equations
629(15)
Operations with Matrices
644(15)
The Inverse of a Square Matrix
659(9)
The Determinant of a Square Matrix
668(8)
Applications of Matrices and Determinants
676(19)
Chapter Summary
686(2)
Review Exercises
688(6)
Chapter Test
694(1)
Sequences, Series, and Probability
695(76)
Sequences and Series
696(11)
Arithmetic Sequences and Partial Sums
707(9)
Geometric Sequences and Series
716(10)
Mathematical Induction
726(8)
The Binomial Theorem
734(8)
Counting Principles
742(10)
Probability
752(19)
Chapter Summary
765(1)
Review Exercises
766(4)
Chapter Test
770(1)
Topics in Analytic Geometry
771
Conics
772(14)
Translations of Conics
786(9)
Parametric Equations
795(8)
Polar Coordinates
803(6)
Graphs of Polar Equations
809(9)
Polar Equations of Conics
818
Chapter Summary
825(1)
Review Exercises
826(4)
Chapter Test
830(1)
Cumulative Test: Chapters 8-10
831
Appendices
Appendix A Technology Support Guide
1(24)
Appendix B Proofs of Selected Theorems
25(13)
Appendix C Concepts in Statistics
38(11)
C.1 Measures of Central Tendency and Dispersion
38(47)
C.2 Least Squares Regression
47(49)
Appendix D Solving Linear Equations and Inequalities
49(3)
Appendix E Systems of Inequalities
52(19)
E.1 Solving Systems of Inequalities
52(10)
E.2 Linear Programming
62(71)
Answers to Odd-Numbered Exercises and Tests 71(140)
Index of Applications 211(4)
Index 215


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