
Functions Modeling Change
A Preparation for Calculus
- 660 pages
- English
- PDF
- Available on iOS & Android
Functions Modeling Change
A Preparation for Calculus
About this book
An accessible Precalculus text with concepts, examples, and problems
The sixth edition of Functions Modeling Change: A Preparation for Calculus helps students establish a foundation for studying Calculus. The text covers key Precalculus topics, examples, and problems. Chapters examine linear, quadratic, logarithmic, exponential, polynomial, and rational functions. They also explore trigonometry and trigonometric Identities, plus vectors and matrices. The end of each chapter offers details on how students can strengthen their knowledge about the topics covered.
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Key takeaways
Analyze and interpret the behavior of linear, quadratic, exponential, logarithmic, polynomial, and rational functions, including their rates of change, domains, and ranges. Apply these function types to model real-world phenomena and fit data.
Manipulate functions through transformations such as shifts, reflections, and stretches, and determine the effects on their graphs. Construct and analyze composite and inverse functions to solve mathematical problems.
Utilize trigonometric functions, identities, and inverse functions to solve problems involving periodic phenomena and geometric relationships. Apply concepts of vectors, matrices, sequences, series, and parametric equations as foundational tools for advanced mathematical study.
Information
Table of contents
- FUNCTIONS MODELING CHANGE: A Preparation for Calculus
- Preface
- Table of Contents
- Chapter 1 LINEAR FUNCTIONS AND CHANGE
- Chapter 2 FUNCTIONS
- Chapter 3 QUADRATIC FUNCTIONS
- Chapter 4 EXPONENTIAL FUNCTIONS
- Chapter 5 LOGARITHMIC FUNCTIONS
- Chapter 6 TRANSFORMATIONS OF FUNCTIONS AND THEIR GRAPHS
- Chapter 7 TRIGONOMETRY STARTINGWITH CIRCLES
- Chapter 8 TRIGONOMETRY STARTING WITH TRIANGLES
- Chapter 9 TRIGONOMETRIC IDENTITIES, POLAR COORDINATES, AND COMPLEX NUMBERS
- Chapter 9 SUPPLEMENT: TRIGONOMETRIC IDENTITIES, POLAR COORDINATES, AND COMPLEX NUMBERS
- Chapter 10 COMPOSITIONS, INVERSES, AND COMBINATIONS OF FUNCTIONS
- Chapter 11 POLYNOMIAL AND RATIONAL FUNCTIONS
- Chapter 12 VECTORS AND MATRICES
- Chapter 13 SEQUENCES AND SERIES
- Chapter 14 PARAMETRIC EQUATIONS AND CONIC SECTIONS
- APPENDICES
- ANSWERS TO ODD NUMBERED PROBLEMS
- INDEX
- Endpaper
- EULA
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