Fungsi (matematika)

Fungsi è ḍâlem artè matematika panèka pâmèta'an ḍâri bhân-sabbhân anggohuta himpunan (sè èsebbhut dḍomain otabâ variabel inḍepènḍen) ḍâ' anggohuta himpunan laèn (èsebbhut koḍomain otabâ variabel ḍepènḍen) sè bisa ènyata'aghi kalabân simbol $y=f(x)$ , otabâ bisa aghâḍhui simbol $g(x)$ , $P(x)$ . ^[1] ^[2] Istila panèka aghâḍhui artè dâri oca' sè paḍâ sè èghuna'aghi è ḍâlem ka'oḍi'ân sabbhân arè, akaḍhi "bhârâng panèka fungsina bhâgus." Konsep fungsi panèka sala sèttong konsep ḍhâsar matematika bân saḍhâjâ èlmo kuantitatif. Istilah "fungsi", "pemetaan", "peta", "transformasi", bân "operator" biyasana èghuna'aghi secara paḍâ. ^[3]

Angghuta himpunan sè èpèta'aghi bisa aropa'aghi ponapa bisaos (oca', orèng, otabâ bhârâng laènna), namong biyasana sè èbhâhas panèka jumla matematika akaḍhi bilangan nyatah. ^[4] Contona panèka fungsi kalabân ḍomain bân koḍomain himpunan bilangan nyatah panèka $y=f(2x)$ , sè aghâḍhui hubungan bilangan nyatah ḍâ' bilangan nyatah laènna sè ḍukale lebbi bhâghus. è ḍâlem hal panèka bisa ènolès $f(5)=10$ .

Notasi

Ka'angghuy nerrangngaghi fungsi, notasi è bâbâ panèka bisa èghun'aghi.

$f:A\rightarrow B$

Sa'ampona majhârbhâ'aghi fungsi f sè èpeta'aghi sabbhân èlemèn himpunan A ka B è yattas. Notasi panèka coma ngoca'aghi jhâ' bâḍâ fungsi f sè èpeta'aghi ḍuwâ' himpunan, A ka B. Namong, sifat sè teppa' ḍâri pameta'an panèka ta' ènyata'aghi kalabân beccè'. Mèlana abâ' ḍhibi' bisa aghâḍhui notasi sè laèn.

$x\in A$

$f:x\rightarrow x^{2}$

otabâ

$f(x)=\,x^{2}$ ^[5]

Sombher

↑ "function | Definition, Types, Examples, & Facts". Encyclopedia Britannica (in Inggris). Archived from the original on 2023-05-13. Retrieved 2020-08-20.
↑ Weisstein, Eric W. "Function". mathworld.wolfram.com (in Inggris). Archived from the original on 2023-07-13. Retrieved 2020-08-20.
↑ Weisstein, Eric W. "Map". mathworld.wolfram.com (in Inggris). Archived from the original on 2023-06-04. Retrieved 2020-08-20.
↑ "The Definitive Glossary of Higher Mathematical Jargon". Math Vault (in American English). 2019-08-01. Archived from the original on 2020-02-28. Retrieved 2020-08-20.
↑ "What is a Function" www.mathsisfun.com. È arsip ḍâri sè asli anggâl 2023-06-09. Èaksès 2026-01-02.

[1] "function | Definition, Types, Examples, & Facts". Encyclopedia Britannica (in Inggris). Archived from the original on 2023-05-13. Retrieved 2020-08-20.

[2] Weisstein, Eric W. "Function". mathworld.wolfram.com (in Inggris). Archived from the original on 2023-07-13. Retrieved 2020-08-20.

[3] Weisstein, Eric W. "Map". mathworld.wolfram.com (in Inggris). Archived from the original on 2023-06-04. Retrieved 2020-08-20.

[:0-4] "The Definitive Glossary of Higher Mathematical Jargon". Math Vault (in American English). 2019-08-01. Archived from the original on 2020-02-28. Retrieved 2020-08-20.

[5] "What is a Function" www.mathsisfun.com. È arsip ḍâri sè asli anggâl 2023-06-09. Èaksès 2026-01-02.

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