Video: Koj qhia li cas yog tias daim duab yog qhov muaj nuj nqis tiag tiag?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
A rational muaj nuj nqi yuav yog xoom ntawm tus nqi tshwj xeeb ntawm x nkaus xwb yog tus lej yog xoom ntawm uas x thiab tus denominator tsis yog xoom ntawm uas x. Hauv lwm lo lus, rau txiav txim yog tias ib rational muaj nuj nqi puas yog xoom tag nrho uas peb yuav tau ua yog teem tus zauv sib npaug zos rau xoom thiab daws.
Ntawm no, dab tsi yog daim duab ntawm rational function?
rational functions yog ntawm daim ntawv y = f(x), qhov twg f(x) yog a kev xav kev qhia. Ua sketch a daim duab ntawm a rational muaj nuj nqi , koj tuaj yeem pib los ntawm kev nrhiav cov asymptotes thiab cuam tshuam. Cov kauj ruam koom nrog graphing rational functions : Nrhiav cov asymptotes ntawm lub rational muaj nuj nqi , yog muaj. Kos cov asymptotes li dotted kab.
Ib sab saum toj no, koj yuav ua li cas daws qhov teeb meem rational? Txheej txheem rau graphing a Rational Function
- Nrhiav cov kev cuam tshuam, yog tias muaj.
- Nrhiav cov asymptotes ntsug los ntawm kev teeb tsa tus denominator sib npaug rau xoom thiab daws.
- Nrhiav cov kab rov tav asymptote, yog tias muaj, siv qhov tseeb saum toj no.
- Cov asymptotes ntsug yuav faib cov lej kab rau hauv cheeb tsam.
- Sketch daim duab.
Tsuas yog li ntawd, qhov piv txwv muaj nuj nqi yog dab tsi?
Nco qab tias a rational muaj nuj nqi txhais tau tias yog qhov piv ntawm ob lub polynomials tiag tiag nrog cov xwm txheej uas cov polynomial hauv tus lej tsis yog xoom polynomial. f(x)=P(x)Q(x) f(x)=P(x)Q(x), where Q(x)≠0. Ib piv txwv ntawm a rational muaj nuj nqi es: f(x)=x+12x2−x−1.
Dab tsi ua rau muaj nuj nqis muaj nuj nqis?
Hauv lej, a rational muaj nuj nqi yog ib qho muaj nuj nqi uas tuaj yeem txhais los ntawm a kev xav feem, piv txwv li ib feem ntawm algebraic xws li tias ob qho tib si tus lej thiab tus lej yog polynomials. Cov coefficients ntawm cov polynomials yuav tsum tsis yog kev xav tus lej; lawv tuaj yeem raug coj mus rau hauv txhua qhov chaw K.
Pom zoo:
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
Koj qhia li cas yog tias muaj kev txwv nyob rau ntawm daim duab?
Thawj, uas qhia tau hais tias qhov txwv tsis pub muaj, yog tias daim duab muaj qhov nyob hauv kab, nrog rau qhov taw tes rau tus nqi ntawm x ntawm tus nqi sib txawv ntawm y. Yog tias qhov no tshwm sim, ces qhov kev txwv muaj, txawm hais tias nws muaj qhov sib txawv rau qhov muaj nuj nqi tshaj li tus nqi rau qhov txwv
Yuav ua li cas koj qhia yog hais tias muaj nuj nqi converges los yog diverges?
Yog hais tias koj tau txais ib tug series uas me dua ib tug convergent benchmark series, ces koj series yuav tsum converge. Yog hais tias lub benchmark converges, koj series converges; thiab yog hais tias tus benchmark diverges, koj series diverges. Thiab yog tias koj cov koob muaj ntau dua li qhov sib txawv ntawm qhov sib txawv, ces koj cov koob yuav tsum sib txawv
Yuav ua li cas koj qhia yog hais tias ib tug piecewise graph yog ib tug muaj nuj nqi?
Yuav Qhia Li Cas Yog Piecewise Function yog Nruam lossis Tsis Txuas Ntxiv. Txhawm rau qhia yog tias daim duab sib txuas tsis tu ncua lossis tsis txuas ntxiv, koj tuaj yeem saib cov ntsiab lus ciam teb thiab pom tias y point yog tib yam ntawm lawv txhua tus.(Yog tias y's txawv, yuav muaj "dhia" hauv daim duab !)
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 .