Bibliographic Details
| Title: |
Atvirkštinės funkcijos. |
| Alternate Title: |
Inverse functions. |
| Authors: |
Kudžma, Ričardas Juozas1 ricardas.kudzma@mif.vu.lt |
| Source: |
Lietuvos Matematikos Rinkinys. 2025, Vol. 66 Issue Series B, p81-90. 10p. |
| Subject Terms: |
*Mathematics education (Secondary), Inverse functions, Coordinate axes (Mathematics), Mathematical functions |
| Abstract (English): |
23 years ago, R. Kudžma in the journal Alfa plius omega [7] argued that the TEV textbook [14] presents the inverse function and its graph incorrectly. The head of the textbook's author group, V. Stakėnas [15], replied that this was not incorrect, but a traditional approach. The discussion did not develop. The separation of the function f: x n- f (x) and the equation y = f (x) notations proposed in this article may help resolve the seemingly irreconcilable views on the inverse function and its graph. The idea is also developed that the graph of the function f in the original coordinate system Oxy is also the graph of the inverse function in Oyx coordinate system. [ABSTRACT FROM AUTHOR] |
| Abstract (Lithuanian): |
Prieš 23 metus žurnale Alfa plius omega [7] tvirtinau, kad atvirkštinės funkcijos dėstymas ir grafiko braižymas naujame TEV leidyklos vadovėlyje [14] yra klaidingas. Vadovėlio autorių grupės vadovas V. Stakėnas atsakė, kad tai ne klaidingas, bet tradicinis požiūris [15]. Diskusija neišsivystė. Šiame straipsnyje siūlau atskirti funkcijos ir lygties žymenis - funkcija f: x f (x), o y = f (x) - tik lygtis. Tai gali padėti išspręsti, atrodo, nesutaikomus požiūrius į atvirkštinę funkciją ir jos grafiką. Taip pat vystau idėją, kad funkcijos f grafikas yra ir atvirkštinės funkcijos g grafikas kitoje koordinačių sistemoje. [ABSTRACT FROM AUTHOR] |
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| Database: |
Education Research Complete |
