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Functions and Graphs

 EPUB
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ISBN-13:
9780486317137
Einband:
EPUB
Seiten:
112
Autor:
I. M. Gelfand
Serie:
Dover Publications
eBook Typ:
Adobe Digital Editions
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:

ForewordIntroductionCHAPTER 1 ExamplesCHAPTER 2 The Linear FunctionCHAPTER 3 The Function y = xCHAPTER 4 The Quadratic TrinomialCHAPTER 5 The Linear Fractional FunctionCHAPTER 6 Power FunctionsCHAPTER 7 Rational FunctionsProblems for Independent SolutionAnswers and Hints to Problems and ExercisesMarked by the Sign
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.