Vim li cas cov haujlwm muaj nuj nqis muaj kev txwv?
Vim li cas cov haujlwm muaj nuj nqis muaj kev txwv?

Video: Vim li cas cov haujlwm muaj nuj nqis muaj kev txwv?

Video: Vim li cas cov haujlwm muaj nuj nqis muaj kev txwv?
Video: Vim li cas koj lub neej thiaj li tsis txawj muaj nyiaj yog ua cas? ( How to Change your life) 2024, Kaum ib hlis
Anonim

Domain txwv ntawm a rational muaj nuj nqi tuaj yeem txiav txim siab los ntawm kev teeb tsa tus denominator sib npaug rau xoom thiab kev daws teeb meem. Cov x -values uas tus denominator sib npaug zero yog hu ua singularities thiab yog tsis nyob rau hauv lub domain muaj nuj nqi.

Ib yam li ntawd, vim li cas cov haujlwm muaj nuj nqis tseem ceeb?

Qhov tseem ceeb. " Kev xav muaj nuj nqi "yog lub npe muab rau a muaj nuj nqi uas tuaj yeem sawv cev raws li quotient ntawm polynomials, ib yam li a kev xav tus lej yog tus lej uas tuaj yeem qhia tau ua tus lej ntawm tag nrho cov lej. rational functions muab tseem ceeb piv txwv thiab tshwm sim nyob rau hauv ntau lub ntsiab lus.

Ib yam li ntawd, puas muaj nuj nqis muaj nuj nqis muaj kev hloov pauv? 4 Cov ntsiab lus. Ib tug polynomial ntawm degree n muaj feem ntau n tiag zeros thiab n−1 cov ntsiab lus tig . A rational muaj nuj nqi yog a muaj nuj nqi of the form f(x)=P(x)Q(x), f(x)=P(x)Q(x), where P(x) and Q(x) yog ob leeg polynomials.

Tsis tas li lo lus nug yog, qhov piv txwv muaj nuj nqi yog dab tsi?

Piv txwv ntawm Muaj nuj nqi Cov muaj nuj nqi R(x) = (x^2 + 4x - 1) / (x^2 - 9x + 2) rational muaj nuj nqi vim tus zauv, x^2 + 4x - 1, yog ib tug polynomial thiab tus denominator, 3x^2 - 9x + 2 kuj yog ib tug polynomial.

Dab tsi yog cov yam ntxwv ntawm rational functions?

Ob qho tseem ceeb nta ntawm tej rational muaj nuj nqi r(x) = p(x)q(x) r(x) = p(x) q(x) yog cov zeros thiab ntsug asymptotes muaj nuj nqi tej zaum muaj. Cov yam ntxwv ntawm a rational muaj nuj nqi txuas nrog rau qhov twg tus lej thiab tus lej, feem, yog xoom.

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