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Atvirkštinės funkcijos.

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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]
Copyright of Lietuvos Matematikos Rinkinys is the property of Vilnius University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
FullText Text:
  Availability: 0
Header DbId: ehh
DbLabel: Education Research Complete
An: 191571118
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Atvirkštinės funkcijos.
– Name: TitleAlt
  Label: Alternate Title
  Group: TiAlt
  Data: Inverse functions.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Kudžma%2C+Ričardas+Juozas%22">Kudžma, Ričardas Juozas</searchLink><relatesTo>1</relatesTo><i> ricardas.kudzma@mif.vu.lt</i>
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  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Lietuvos+Matematikos+Rinkinys%22">Lietuvos Matematikos Rinkinys</searchLink>. 2025, Vol. 66 Issue Series B, p81-90. 10p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Mathematics+education+%28Secondary%29%22">Mathematics education (Secondary)</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+functions%22">Inverse functions</searchLink><br /><searchLink fieldCode="DE" term="%22Coordinate+axes+%28Mathematics%29%22">Coordinate axes (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: 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]
– Name: Abstract
  Label: Abstract (Lithuanian)
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Lietuvos Matematikos Rinkinys is the property of Vilnius University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=ehh&AN=191571118
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.15388/LMR.2025.44459
    Languages:
      – Code: lit
        Text: Lithuanian
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 81
    Subjects:
      – SubjectFull: Mathematics education (Secondary)
        Type: general
      – SubjectFull: Inverse functions
        Type: general
      – SubjectFull: Coordinate axes (Mathematics)
        Type: general
      – SubjectFull: Mathematical functions
        Type: general
    Titles:
      – TitleFull: Atvirkštinės funkcijos.
        Type: main
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          Name:
            NameFull: Kudžma, Ričardas Juozas
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          Dates:
            – D: 01
              M: 07
              Text: 2025
              Type: published
              Y: 2025
          Identifiers:
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              Value: 01322818
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              Value: 66
            – Type: issue
              Value: Series B
          Titles:
            – TitleFull: Lietuvos Matematikos Rinkinys
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