The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature step-by-step diagrams for the complete construction of each graph. The first part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The second half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions.
Sprache
Verlagsort
ISBN-13
978-0-486-31713-7 (9780486317137)
Schweitzer Klassifikation
Foreword
Introduction
CHAPTER 1
Examples
CHAPTER 2
The Linear Function
CHAPTER 3
The Function y = x
CHAPTER 4
The Quadratic Trinomial
CHAPTER 5
The Linear Fractional Function
CHAPTER 6
Power Functions
CHAPTER 7
Rational Functions
Problems for Independent Solution
Answers and Hints to Problems and Exercises
Marked by the Sign
