INVERSE OF A FUNCTION – MATHEMATICAL AND ICT TOOL APPROACH
Keywords:
inverse of a function, GeoGebra.DOI:
https://doi.org/10.17654/0973563122008Abstract
The notion of a function is primordial in teaching mathematics. The inverse of a function has a well-known mathematical definition. In case of real functions, there is a symmetry relation between the graphs of the function and its inverse, even this relation can be visualised using CAS tools like GeoGebra. However, it is useful to clarify what are the discrepancies between mathematical definition of inverse function, the commands like Invert and NInvert when using GeoGebra as function graphing tool, and the symmetry commands of the software. Some examples to be presented are aimed to underline the right use of ICT and CAS, as very efficient tools in education, the same time to attract the attention on the possible limits, failures in applying them. It is a need for advanced critical thinking both for teachers and students, when applying these tools.
Received: June 4, 2022
Accepted: July 9, 2022
References
B. Buchberger, Computer algebra: the end of mathematics? ACM SIGSAM Bulletin 36(1) (2002), 3-9. DOI: 10.1145/565145.565147.
B. Tamam and D. Dasari, J. Phys.: Conf. Ser. 1882 (2021), 012042.
https://iopscience.iop.org/article/10.1088/1742-6596/1882/1/012042.
Inverse function on GeoGebra tube: https://www.geogebra.org/m/ysxxunry.
Inverse function on GeoGebra tube: https://www.geogebra.org/m/jxujefse.
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