Video: Vim li cas cov haujlwm muaj nuj nqis muaj kev txwv?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
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.
Pom zoo:
Vim li cas peb thiaj li hais txog kev txwv tsis pub muaj kev hais tawm thiab thaum twg peb yuav hais cov kev txwv?
Peb hais txog kev txwv vim nws yuav ua rau qhov sib npaug tsis tau txhais hauv qee qhov txiaj ntsig ntawm x. Qhov kev txwv ntau tshaj plaws rau cov lus qhia muaj nuj nqis yog N / 0. Qhov no txhais tau tias txhua tus lej muab faib los ntawm xoom tsis tau txhais. Piv txwv li, rau txoj haujlwm f(x) = 6/x², thaum koj hloov x = 0, nws yuav ua rau 6/0 uas tsis tau txhais
Vim li cas cov nuj nqis tseem ceeb tseem ceeb thaum qhia txog kev ntsuas?
Cov duab tseem ceeb yog qhov tseem ceeb los qhia qhov tseeb ntawm koj cov lus teb. Qhov no yog qhov tseem ceeb hauv kev tshawb fawb thiab engineering vim tias tsis muaj cov cuab yeej ntsuas tuaj yeem ua qhov ntsuas nrog 100% precision. Siv cov nuj nqis tseem ceeb tso cai rau tus kws tshawb fawb paub tias cov lus teb meej npaum li cas, lossis qhov tsis paub meej npaum li cas
Cov nqe lus twg zoo tshaj plaws piav qhia txog qhov tseem ceeb ntawm cov lus qhia muaj nuj nqis?
Qhov tsis suav nrog tus nqi ntawm ib qho kev qhia rational yog qhov tseem ceeb uas tus denominator ntawm qhov kev qhia yog xoom. Tsis tas li ntawd, tus naj npawb ntawm zeros ntawm ib tug polynomial yeej ib txwm tsawg dua los yog sib npaug rau degree ntawm lub polynomial. Yog li ntawd, tus naj npawb ntawm cov txiaj ntsig tsis suav nrog cov lus qhia muaj txiaj ntsig tsis tuaj yeem tshaj li qib ntawm tus lej
Cov yam ntxwv ntawm cov ntaub ntawv twg yog qhov ntsuas ntawm tus nqi uas cov ntaub ntawv muaj nuj nqis heev?
Variation: Ib qho kev ntsuas ntawm tus nqi uas cov ntaub ntawv muaj nuj nqis sib txawv. ? Kev faib tawm: Cov xwm txheej lossis cov duab ntawm kev sib kis ntawm cov ntaub ntawv hla ntau qhov tseem ceeb (xws li tswb-puab). ? Outliers: Cov qauv piv txwv uas nyob deb heev ntawm feem ntau ntawm lwm cov qauv nqi
Yuav ua li cas koj thiaj paub tias muaj nuj nqi yog lub zog muaj nuj nqi?
VIDEO Ib yam li ntawd, tib neeg nug, dab tsi ua rau lub zog ua haujlwm? A lub zog ua haujlwm yog a muaj nuj nqi qhov twg y = x ^n qhov twg n yog tus lej tiag tiag. Ntau tus niam txiv muaj nuj nqi xws li linear muaj nuj nqi thiab quadratic muaj nuj nqi yog qhov tseeb lub zog ua haujlwm .