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Basic Methods for Finding the Range of a Function

Authors

Shahin Mutarif ogli Aghazade, Bakhadur Omar ogli Takhirov

Rubric:Mathematics
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A function, as a mathematical model of many real-world situations, allows for describing and studying various dependencies between quantities, thereby facilitating an understanding of the surrounding world. Teaching mathematics is a crucial component of secondary general education and aims to develop logical thinking and mathematical intuition in students, ensuring they acquire skills in solving various practical and interdisciplinary tasks [5].

Tasks involving finding the range of a function pose significant difficulties for students. Such tasks are consistently included in prestigious mathematical competitions and various Olympiads.

This work is dedicated to the methodology of teaching students to find the range of various functions.

 

Keywords

continuous function
differentiable function
function
minimum value of a function
mathematics
inverse function
maximum value of a function
graph of a function
domain of a function
range of a function

Authors

Shahin Mutarif ogli Aghazade, Bakhadur Omar ogli Takhirov

References:

  1. Silvestrov V.V. Set of function values. Study guide. Cheboksary: ​​Publisher: Chuv.GU, 2004, 64 p.
  2. Shabunin M.I. Study guide for applicants to universities. Moscow: Laboratory of knowledge, 2016, p.742.
  3. Aliyev S.J.,Takhirov B.O., Hashimova T.A. Varlafive problems in fecchind matematics // European Journal of Pure and Applied Matematics, 2022, v.15, №3, p.1015-1022. https://www.researchgate.net/publication/362382640_Variative_Problems_in_Teaching_Mathematics
  4. Takhirov B.O., Namazov F.M. The role of tasks in the de­velopment of ref­lexive abili­ties in students in the process of learning mathematics // The Europen Journal of Education and Applied Psychology, 2024, Vienna, №1, p.37-39. https://doi.orq/10.29013/EJEAP-24-1-37-39
  5. Tahirov, B.O., Aghazade, S.M. Methods of using historical and scientific materials in mathematics education. // Vectors of Social Sciences, -2024. 8, -p.54-64. ISSN 2667-9906; E-ISSN 2960-9542. https://vectors.ge/en/vss-2024-n8-en/

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