LINEAR FUNCTION AND ITS PROPERTIES

Abstract

Mathematics plays an important role in forming the logical foundations of human thinking, modeling and analyzing phenomena occurring in the environment. In particular, the theory of functions is considered one of the pillars of mathematical knowledge, and it is widely used to express the relationships between real processes. One of the simplest, but most important types of this theory is a linear function, which is inextricably linked with mathematical analysis, algebra, geometry, and applied sciences. The study of a linear function and its properties creates a foundation for developing functional thinking in students, forming the skills of working with graphs, and mastering complex mathematical concepts. The concept of a linear function allows us to mathematically express many processes encountered in everyday life. For example, the relationship between time and distance, directly proportional quantities, changes in costs and income, and indicators such as speed and efficiency in technical processes are expressed precisely through linear relationships. Therefore, the study of this topic is not only theoretical, but also practical, and develops students' ability to mathematically model real-life problems.[5]