THE CONCEPT OF FUNCTION: A FUNDAMENTAL BUILDING BLOCK IN MATHEMATICS

Authors

  • Toshboyeva Feruza Atamjanovna Teacher of mathematics at Academic Lyceum No. 1 of Tashkent State University of Economics

Keywords:

Function, domain, codomain, injectivity, surjectivity, bijectivity, continuity, linear functions, polynomial functions, exponential functions, trigonometric functions, mathematical modelling, calculus, applications of functions.

Abstract

This article delves into the concept of a function, which is a fundamental element in mathematics used to describe relationships between variables. It defines a function as a mapping from a set of inputs (domain) to a set of outputs (codomain), with each input associated with exactly one output. The article discusses key properties of functions, such as injectivity, surjectivity, bijectivity, and continuity, and explores various types of functions including linear, quadratic, polynomial, exponential, and trigonometric functions. Additionally, the article highlights the wide-ranging applications of functions in fields such as calculus, physics, economics, and computer science, emphasizing their importance in both theoretical mathematics and practical problem-solving.

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Published

2024-08-31

Issue

Vol. 31 (2024)

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

THE CONCEPT OF FUNCTION: A FUNDAMENTAL BUILDING BLOCK IN MATHEMATICS. (2024). Uzbek Scholar Journal, 31, 27-30. https://uzbekscholar.com/index.php/uzs/article/view/981

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