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Functions and Change

Bruce Crauder 지음 | 2018

ISBN 9781337111348 (1337111341)
Author Bruce Crauder
Copyright 2018
Edition 6E
Page 576쪽
Size 8 x 10
책소개 목차 특징 강의자료
FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, Sixth Edition, is ideal for both non-traditional and terminal students taking college algebra, as well as those who may continue onto calculus. Graphing utilities, functions, modeling, real data, applications and projects develop students’ skills and give them the practice they need to not only master basic mathematics but apply it in future courses and careers. With a new, separate section on quadratic functions, additional emphasis on business applications, and new skill-building exercises and Excel activities, the sixth edition reinforces the authors' focus on connecting math in the real world, promotes mastery of the material, and fosters critical thinking.
Prologue: Calculator Arithmetic.
Summary. Chapter Review Exercises.
1. FUNCTIONS.
Functions Given by Formulas. Functions Given by Tables. Functions Given by Graphs. Functions Given by Words. Summary. Chapter Review Exercises. A Further Look: Average Rates of Change with Formulas. A Further Look: Areas Associated with Graphs.
A Further Look: Definition of a Function.
2. GRAPHICAL AND TABULAR ANALYSIS.
Table and Trends. Graphs. Solving Linear Equations. Solving Nonlinear Equations. Inequalities. Optimization. Summary. Chapter Review Exercises. A Further Look: Limits. A Further Look: Shifting and Stretching. A Further Look: Optimizing with Parabolas.
3. STRAIGHT LINES AND LINEAR FUNCTIONS.
The Geometry of Lines. Linear Functions. Modeling Data with Linear Functions. Linear Regression. Systems of Equations. Summary. Chapter Review Exercises. A Further Look: The Correlation Coefficient. A Further Look: Parallel and Perpendicular Lines. A Further Look: Secant Lines.
4. EXPONENTIAL FUNCTIONS.
Exponential Growth and Decay. Constant Percentage Change. Modeling Exponential Data. Modeling Nearly Exponential Data. Logarithmic Functions. Summary. Chapter Review Exercises. A Further Look: Solving Exponential Equations.
5. A SURVEY OF OTHER COMMON FUNCTIONS.
Logistic Functions. Power Functions. Modeling Data with Power Functions. Combining and Decomposing Functions. Quadratic Functions. Higher-Degree Polynomials and Rational Functions. Summary. Chapter Review Exercises. A Further Look: Fitting Logistic Data using Rates of Change. A Further Look: Factoring Polynomials, Behavior at Infinity.
6. RATES OF CHANGE.
Velocity. Rates of Change for Other Functions. Estimating Rates of Change. Equations of Change: Linear and Exponential Functions. Equations of Change: Graphical Solutions. Summary. Chapter Review Exercises.
APPENDIX A.
Order of Operations. Geometric Constructions. Inverse Function. Solving Equations by Factoring. Equations of Lines. Elementary Properties of Exponents. Quadratic Functions and Complex Numbers.
APPENDIX B.
Arithmetic Operations. Tables and Graphs. Discrete Data.
APPENDIX C.
Arithmetic Operations. Tables and Graphs. Discrete Data
BRIEF ANSWERS TO SELECTED EXERCISES.
INDEX.
A New, Separate Section On Quadratic Functions Provides Additional Exercises And A More Complete Treatment Of This Common Type Of Function.By Popular Request, An Increased Emphasis On Business Applications Is Sprinkled Throughout The Text And Is Included In New Exercises.Additional Skill Building Exercises Help Prepare Students For The Regular Exercise Sets.Several New Activities Are Available For Those Who Are Using The Text With Microsoft Excel.A New “A Further Look” Feature Examines Both Appropriate And Inappropriate Interpretations Of R-Values.The Treatment Of Rational Functions Has Been Updated And Strengthened With The Addition Of Interesting New Examples And Exercises.Webassign: Functions And Change: A Modeling Approach To College Algebra, Sixth Edition, Is Fully Supported By Webassign, The Powerful Online Homework And Course Management System That Engages Students In Learning The Math. Webassign Includes New End-Of-Chapter Exercises And Pre-Built Assignments Vetted By Trusted Subject Matter Experts Along With Robust Course, Section, Assignment, And Question Settings And Online Testing To Help Instructors Foster A Deeper Understanding Of Course Concepts.Integrated Graphing Calculator Technology Helps Students Understand Abstract Concepts As A Descriptive And Problem-Solving Tool.Test Your Understanding Feature Follows Examples In The Text And Challenges Students To Solve Similar Problems. Answers Are Provided To Reinforce Correct Work.The Solving Inequalities Section In Chapter 2 Expands Upon The Fundamental Ideas Of Solving Equations By The Method Of Crossing Graphs. This Avoids Common Errors And Is Applicable To Inequalities To Which Techniques Of Algebra Do Not Apply.
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