Keywords
function properties
graphical analysis
GeoGebra
mathematical software
mathematics education
How to Cite
Abstract
This study examines the concept of functions, their fundamental properties, and methods of graphical analysis using modern mathematical software. The research focuses on integrating traditional analytical approaches with interactive digital visualization to improve the understanding of functional relationships. GeoGebra was used to construct and analyze graphs, investigate parameter changes, and examine important characteristics such as domain, range, zeros, extrema, monotonicity, and symmetry. The methodology combined algebraic expressions, numerical tables, graphical representations, and analytical verification. The results were evaluated through a comparison of pre-test and post-test performance between experimental and control groups. The experimental group demonstrated an increase in average performance from 55 to 82 points, while the control group increased from 54 to 60 points. These findings indicate that interactive graphical environments can support students in connecting symbolic and visual representations of functions. The study concludes that modern mathematical software can complement conventional teaching methods by providing dynamic visualization, facilitating mathematical exploration, and promoting a deeper conceptual understanding of functions and their graphical properties.
References
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This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright (c) 2026 Olimova, S.Z. (Author)