Menene iyakar aiki

A cikin wannan ɗaba'ar, za mu yi la'akari da mene ne iyakar aiki, yadda aka keɓe shi da ƙayyadaddun shi. Mun kuma lissafta waɗannan wuraren don fitattun siffofi.

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Ma'anar iyaka

domain saitin dabi'u ne x, wanda aka ayyana aikin, watau akwai y. Wani lokaci ana kiransa yankin aiki.

  • x - m m (hujja);
  • y – dogara m (aiki).

Alamar al'ada ta aiki: y=f(x).

aiki dangantaka ce tsakanin masu canji guda biyu (sets). A lokaci guda, kowane x yayi daidai da takamaiman ƙima ɗaya kawai y.

Fassarar geometric na yankin ma'anar aiki shine tsinkayar jadawali da yayi daidai da shi akan axis abscissa (0x).

Saitin ƙimar ayyuka - duk dabi'u yyarda da aikin akan yankin sa. Daga ra'ayi na lissafi, wannan shine tsinkayar jadawali akan y-axis (0y).

Yankin ma'anar ana nuna shi azaman D (f). A maimakon haka f, bi da bi, ana nuna takamaiman aiki, misali: D (x2), D(cos x) da dai sauransu.

Sa'an nan kuma yawanci ana sanya alamar daidai kuma ana rubuta takamaiman dabi'u:

  1. Ta hanyar semicolon, muna nuna iyakokin hagu da dama na tazara daidai da ƙimar akan axis. 0x (tsare a cikin wannan tsari).
  2. Idan iyakar tana cikin ma'anar ma'anar, sanya madaurin murabba'i kusa da shi, in ba haka ba, shingen zagaye.
  3. Idan babu iyakar hagu, mun saka a maimakon haka "- ∞", dama - "" (karanta a matsayin "minus/plus infinity").
  4. Idan ya cancanta, idan kuna son haɗa jeri da yawa, ana yin wannan ta amfani da wata alama ta musamman "∪".

Misali:

  • [3; 10] shine saitin dukkan dabi'u daga uku zuwa goma hade;
  • [4; 12) - daga hudu hade zuwa goma sha biyu na musamman;
  • (-2; 7) – daga rabe biyu keɓaɓɓen zuwa da bakwai hadawa.
  • [-10; -4) ∪ (2, 8) – daga debe goma hadawa zuwa ragi hudu na musamman kuma daga biyu zuwa takwas na musamman.

lura:

  • Ana rubuta duk lambobin da suka fi sifili kamar haka: (0; ∞);
  • Duk mara kyau: (-∞; 0);
  • Duk ainihin lambobi: (-∞; ∞) ko kawai R.

Yankunan ayyuka daban-daban

» odar data =»Menene iyakar aiki«>Menene iyakar aikiMenene iyakar aiki
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