Graphing Rational Functions and Their Asymptotes

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You might think we are all set with graphs, but you're wrong! We will learn about many other types of functions as well as how to graph them. First up is rational functions, which are quotients of polynomials. How can we graph these? We have to find their asymptotes. What's that? Sounds sexy. Well, it is, kind of.
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Опубликовано:

21 ноя 2017

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Комментарии : 142

@Nram10 6 месяцев назад

Bro why do teachers not teach like this. It actually pisses me off why they don’t teach so well and simple with patience. I’ve learned more in 7 minutes than my teacher did in a week

@user-mr7xw1mr9z 4 месяца назад

probably graphics teachers don't have access to and you listened and he doesn't have to classroom manage.

@basketguitar9768 2 месяца назад

Your teacher probably has poor public speaking skills, making it difficult to focus on what they're saying.

@leiwansue6024 3 года назад

Thanks math jesus❤️

@yeetdelete2816 2 года назад

He's the mathiah! lol

@abellevanceryans.6775 2 года назад

Our Lord and Solver

@supcutiewannaride 2 года назад

Lmfao

@cindychilufya9220 2 года назад

😂💀

@aramacabenlar4786 Год назад

No you did not 🤣🤣🤣

@rinofrancisxavier 3 года назад

a video with 7.24 duration taught me better than 2 hours of pre-recorded lecture by a lecturer

@jeremyfowler26 3 года назад

This was my first time watching one of your videos, and the into alone made me smile.

@omarifarrow7043 Год назад

Thank you! I am currently using Aleks for my Precalculus course and the instructions and explanations were very unclear but this video answered every question I had.

@festuslubinga6168 6 лет назад

Your lessons have helped me so much thanks once again

@justsomesaltyboi8716 5 месяцев назад

Im sick with covid and missing this portion of the class where my professor did not extend the time for homework for me to rest. Once more, she told me to reach out to tutoring to teach me this stuff when it is due tuesday and they are only open on the monday. You are a lifesaver, thank you so much! This video has cut through brain-fog more effectively than the textbook and exercises posed by my college algebra class.

@starangel951 Год назад

*just the word thank you cant express my feelings and i cant seem to express in words just how much your lessons means to me*

@tambuwalmathsclass 2 года назад

3:51 Great👍 There could be an asymptote if m>n by just 1. That's slanted asymptote

@RadoHudran 2 года назад

Yup On my exam they literally gave me such a problem where m>n and I couldn't do it. Lesson learned: Even if your source seems reliable, always check multiple sources to be sure

@HDrea 4 года назад

I remember "Our asymptotic love story" :'

@jazzphetmacahig4578 3 года назад

awts gege

@scarletblue8685 3 года назад

@@jazzphetmacahig4578 HAHAHAHAHAHAHA gege

@marufhossain6697 2 года назад

Thank you so much for this tutorial. I am learning things I've never known before because I realize that there are so many things in life that I don't know about. The truth is, I'm learning Further Maths due to having some interest in mathematics and I wanted to know my true capabilities by learning things beyond what I'm supposed to cover because I'm only in year 9. I've done the same thing in some Oxford university maths lectures. I want to finish watching the ones on complex numbers and dynamics.

@SamLuv07 Год назад

*immaculate precise explanation* 💕

@lushgreendesert3523 3 года назад

Amazing ! Wonderful ! You cleared so many things in so efficiently!

@Hadeeth_ 18 дней назад

I always get so excited watching his videos that I even start dancing when the iconic into starts 😂

@chrisc708 8 месяцев назад

Really nice job explaining this!

@CJ-cy3mm 4 года назад

this is amazing thank you

@mtycoder 6 лет назад

amazing stuff thanks

@geolescano4695 3 года назад

Correction sir on 3:49 you thought that when n > m then y = 0? and when m > n then y = NHA? But according to the books and some references it is not. The correct is: If n > m , then y = 0 If n < m or m > n then y = No Horizontal Asymptote..

@ashauna3916 3 года назад

you said the same thing twice....

@denissemedina4619 3 года назад

You make math seem so easy 😌

@lynx3953 Год назад

@elishagunasekara4038 3 года назад

This helped me a lot! Thanks!

@__ICT__1288 9 месяцев назад

Thanks a lot professor Dave!

@Faisalmussa0 3 года назад

I swear you are making me love maths

@mickodonnell890 4 года назад

Great video and put me right on a few things there, thank you Professor Dave :-)

@lio9575 7 месяцев назад

Thanks man ,I have an exam tomorrow and this really helped out

@spacecadet3779 2 года назад

Thank you good sir

@MuhammadRafi-yh4xo Год назад

Thanks a lot sir❤

@manpierre571 2 года назад

these stuffs are gold

@marcui_louie Год назад

Thank you very much!

@girummogos 9 месяцев назад

Thank you every much!

@jenanali5919 3 года назад

Thank you so much

@s.m.h.m8804 Год назад

I'm watching many of your series. Fantastic teaching. I Always stop your videos at any important hint and look for it on other videos or search google bard etc to complete my tutorial. Thank you

@Bixcei 5 лет назад

I still don't get this 😂

@ErinRaciell 4 года назад

Its because instead of making a multistep process so its easy to digest he go straight to the the no intuitive part of the rational function.

@YLprime 4 года назад

maybe your are just not at that level yet to be able to understand it. I find it very easy to understand

@etzjunior_ 3 года назад

@@YLprime i don't understand the graph. He was saying, "as we plug in numbers, we get closer and closer to 0", but as he was saying that, the dots that were appearing were moving away from 0. Tf

@jokersjoke1204 3 года назад

@@etzjunior_ lol bro I feel the same way tf

@makgabomashala4859 3 года назад

You are not alone I'm also lost in the asymptote😢

@sorryihaverehearsal5764 3 года назад

Thank you!

@jmarvinarnigo4w 3 года назад

N>m is y=0, but the other teach as n

@katiew912 Год назад

3:24 Does that mean there can never be more than one horizontal asymptote in ANY function? or just in the given function

@plm.agsikapin2025 3 года назад

on 4:18, it should be n

@ProfessorDaveExplains 3 года назад

n refers to the denominator

@plm.agsikapin2025 3 года назад

@@ProfessorDaveExplains oh sorry in our school n refers to the numerator, but nevertheless thanks for helping me out prof dave! 🥰

@wingsoffreedom7138 2 года назад

I thought so WHEN N LESS THAN M IT SHOULD 0

@lynjunemorbos6677 4 года назад

what is the video app change background the background? thank you

@umibrahimkebir4159 10 месяцев назад

A real hero 👏

@kholoudmohmed4083 3 года назад

many thanks

@HellooDae 5 месяцев назад

I have been watching this series since December. Now I can solve math equations I never thought I was ever able to even comprehend. I am forever grateful

@jamikemichelohia2615 3 года назад

I always had time but you explained it explicitlu

@sawankumar1450 Год назад

Thanks sir

@jmslr 3 года назад

Thank you po

@Bandicoot1982z 2 месяца назад

Thanks!

@user-xd1sc5ti4o 8 месяцев назад

Why is he talking like he's at a gunpoint?

@Chakamatics 4 месяца назад

Faxxx😂

@upholdjustice372 Год назад

Thank You Professor Dave, but you did not talk about Curvilinear Asymptotes.

@dellisandwich Месяц назад

how do we interpret the results gathered when testing selective x values? how do we know where the points are specifically?

@ayushsingh5517 3 месяца назад

is there any way to use transformations directly, like derive the graph of these polynomial functions directly from its parent function?

@lpsrosekitty2114 Год назад

Your saving my math grade

@Arushaaaa 3 года назад

Really good please guide if the numerator leading degree power is higher than denominator leading degree power

@carultch 6 месяцев назад

If the denominator has a higher degree, it will have vertical asymptotes at each pole, and horizontal asymptotes at y=0. If the two degrees are equal, it will also have a vertical asymptote at each pole, but its horizontal asymptotes will be shifted to a different vertical position. If the numerator is of a higher degree than the denominator, it will have oblique asymptotes instead of horizontal asymptotes. The vertical asymptotes will still oxxur at the poles.

@wintanahabtu7259 3 года назад

My problem is that i cant just came up with random numbers strategically for drawing z graph

@a.henderson22 4 года назад

thanks

@ahmedbaashi8872 4 года назад

Thnks prof but we need more examples in order to understand thnksr again and again

@alexiadd636 4 года назад

thank you! my professor doesn't teach these things...

@YLprime 4 года назад

u should have learnt these in high school

@alexiadd636 4 года назад

@@YLprime "learned " and no unfortunately not i was a slacker and only took up to algebra 2 in highschool then accounting

@Juuqe 3 года назад

@@alexiadd636 learnt* Americanised English only makes up a small percentage of all english speech, grammar and spelling. To correct someones spelling when they are a part of a larger, more popular group is probably incorrect. Know your place woman.

@xtremesssss 4 года назад

i love your intro

@marykinfe6127 2 года назад

Add more explanation professor Dave

@erikahazy6369 4 года назад

your mother must be very proud of you. :)

@dildobaggins2759 4 года назад

the plotting the points on the asympotes is too hard there must be an easier way...

@nandini2040 4 года назад

there is! for the horizontal asymptote, our teacher told us to calculate the value of the limit of x approaching infinity for the function. if you've done limits, it's pretty easy to get it right. for the vertical one, check for points where the denominator is zero. this is because the vertical asymptote is defined as the finite value of x where y approaches + or - infinity. hope that helps!

@radia4752 3 года назад

@@nandini2040 what? I dont fucking understand anything, goddayumn

@Trynnagetmydegree__ 3 года назад

@@radia4752 lol, man I hate calc....I wish I had this guy as my teacher

@michaelhawkingphd 5 месяцев назад

we stan professor dave

@mirahamdan7369 4 года назад

ur amazingggg

@ashauna3916 3 года назад

at 0:41 seconds you mentioned the denominator cant be 0 but during checking comprehension answers your denominator came out to be 0.

@scarletblue8685 3 года назад

Thankyouu

@jennifer_3683 Год назад

Thanks for the video

@ridmicmeena4123 Год назад

hi it looks like you get everything in this video I have a doubt plz help me so in the first and last Q of Checking comprehension the y = 2 and y=3 so did we take 2/1 and just ignore the 1 and same in last one did we take 3/1 and ignored the 1 and wrote only 3 plz help me as soon as possible

@jennifer_3683 Год назад

@@ridmicmeena4123 hi there! It's been long since I watched this video... I will rewatch and revert u back soon!

@ridmicmeena4123 Год назад

@@jennifer_3683 thank you so much i really appreciate it 💜

@timber9440 9 месяцев назад

The solving of horizontal asymptote is wrong In the video its shown N>m means y=0 When in reality it means theres no horizontal asymptote

@inuwagaming 4 года назад

How do you pick the points tho

@twinkelry2410 3 года назад

Pretty sure you just pick some points on the graph to draw it, mostly the ‘x’es in which the graph would lie

@takki9238 4 года назад

😊intro

@frommytravels 3 месяца назад

Are you doing this in Powerpoint?

@RaffaelloLorenzusSayde 2 года назад

What about oblique asymptotes and holes?

@carultch 6 месяцев назад

Oblique asymptotes are asymptotes that aren't parallel to either of the two coordinate axes, but instead approach a diagonal line. You'll see this for rational functions, when the numerator has a higher degree than the denominator. As an example, y = x^2/(x + 4) has a behavior, where in the long run, it approaches the line y = x - 1. This occurs both as x approaches infinity, and as x approaches -infinity.

@navedabbasi163 6 лет назад

What if there is a mod

@thedestrolled 2 года назад

moist critical in a parallel universe

@jadeluigitaniii2416 2 года назад

Hello! What website was used in graphing the function?

@lapatria100 Год назад

4:24..."we can test select values of ...y?

@nailach2039 Год назад

Thanks

@ridmicmeena4123 Год назад

@club6525 Год назад

The definition for asymptotes is incorrect. Asymptotes are not lines since lines are real object. Rather, they are boundaries. Second, the function can touch and even cross asymptotes such as in the case of (x-1)/(x^2 - x - 6)

@Sir_Drakarius 2 года назад

Thank you math Jesus!

@thecosmos7671 3 года назад

Professor,why the coordinates of 2/(X-1) are (2,1) at 5:30 when it should be( 2,2) I may be wrong please explain me

@RafaelTNSG1245 9 месяцев назад

thank you math jesus

@soumapriyamondal3808 4 года назад

thank you professor...but can you pls tell me what kind of functions do have slant asymptotes...

@ProfessorDaveExplains 4 года назад

hmm, hyperbolas come to mind

@johnlark8995 7 месяцев назад

great video but its half knowledge , you didn't talk about x,y intercepts - those are key metrics for plotting,

@froopi2 5 месяцев назад

ohmygod thanks

@CardinalPopia 9 месяцев назад

Thank you Dave Grohl

@giovannasimon7083 Год назад

i love you

@buggsguide6978 3 года назад

THANX FOR MORE CONFUSION

@elainegracebanday9321 2 года назад

Wala akong naiintindihan lord

@hidden_fear4166 3 года назад

Doesn't show how to graph slants. Ugh

@sadbear01 2 года назад

Ty Jesus 🙏😀

@davidliketogame2120 2 года назад

Mind giving me a shoutout homie?

@mickstone7380 8 месяцев назад

The Freddie Mercury Rule: If a rational equation is bottom heavy, its horizontal asymptote will be equal o zero. This is because of the fact that Fat Bottomed girls make the rockin' world go round, Zeroes are round. QED