Finding the Slant Asymptote

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  • Опубліковано 2 лис 2011
  • 👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the slant asymptote of a rational function, we divide the numerator by the denominator using either long division or synthetic division. The quotient obtained when the numerator is divided by the denominator is the slant asymptote of the function.
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    ✅ Find the Asymptotes of a Rational Function with Trig
    • Find the Asymptotes of...
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КОМЕНТАРІ • 122

  • @huzaifavirk7035
    @huzaifavirk7035 4 роки тому +528

    Like all bald characters, this dude is also overpowered.

  • @ballisticfn8586
    @ballisticfn8586 3 роки тому +312

    this 5 min vid is better for me than my whole hr long classes 😭

  • @AusumnVid
    @AusumnVid 4 роки тому +233

    8 years later, wonder if he's still looking good.

  • @Lordox102
    @Lordox102 5 років тому +146

    turn on subtitles at 1:37

    • @muiz4444
      @muiz4444 5 років тому +4

      lol

    • @henrg
      @henrg 5 років тому +6

      I mean thats what it sounds like he said so

    • @aebious8886
      @aebious8886 4 роки тому +35

      "those are two assholes that my crap is never going to touch" - Brian McLogan 2011

    • @addir9502
      @addir9502 4 роки тому +1

      Thank you for this 😂😂

    • @user-ki4jc7il1n
      @user-ki4jc7il1n 3 роки тому

      😂😂😂😂😂😂

  • @michaelmcdonald3427
    @michaelmcdonald3427 3 роки тому +50

    I would not understand half of what I do now without people like you who make videos like this. Thank you

  • @ketofitforlife2917
    @ketofitforlife2917 3 роки тому +44

    Hi Brian, almost 100k views on this one! Just shared it with a student of mine! You have videos on almost everything I've taught for the last 2 years! Thanks bud!

    • @brianmclogan
      @brianmclogan  3 роки тому +14

      Absolutely! What you teaching these days

  • @potatoxd9797
    @potatoxd9797 3 роки тому +34

    This really helps in quarantine times. Thank you!

  • @Jay-tk2lw
    @Jay-tk2lw 2 роки тому +2

    Thank you! the only person who I could find who explained this in a way I really could understand🙏🏽

  • @aren8662
    @aren8662 4 роки тому +29

    Man I remember you saving my ass back in highschool.

    • @justinstratford
      @justinstratford 2 роки тому

      saved me during highscool, and still saving me in college

  • @_quixote
    @_quixote Рік тому

    Most underrated teacher on youtube. I never thought I'd have to do long division again my whole life though haha. Guess I was wrong about that. Its back

  • @bbbhova3269
    @bbbhova3269 Рік тому +2

    Gosh why can't all teachers explain it like this? Thank you 🙏

  • @NUKINATOR44
    @NUKINATOR44 5 років тому +13

    Thank you! I have this problem for calc hw tonight, thank you for clarification! Love the vids

  • @cati896
    @cati896 3 роки тому +8

    Jesus i must be extra stupid if I cant even understand with you explaining like this 😔 rewatched it 3 times and that long division part still took me out

    • @thatfamily2917
      @thatfamily2917 3 роки тому +2

      try finding his long division videos. I had to go back and practice long division too.

  • @asirzaki9522
    @asirzaki9522 4 роки тому +8

    3:55 got me a stroke

  • @evilsniper5897
    @evilsniper5897 Рік тому +3

    I got mathematics board exam tomorrow and I found this video to be very helpful for curve sketching. Thank You Sir ❤❤

  • @TillerTwo
    @TillerTwo 2 роки тому +16

    I’m studying for a test I have tomorrow, and this really helped me. Your awesome!

  • @khufra-7924
    @khufra-7924 Рік тому +3

    I love this channel, I got a test tomorrow and this is very useful because I missed one day that went over this.

    • @brianmclogan
      @brianmclogan  Рік тому +1

      So happy to help you out!!0

    • @skty1
      @skty1 9 місяців тому

      me too!

  • @poopremoval
    @poopremoval Рік тому

    thank you Mr. Mclogan

  • @VishweshC
    @VishweshC 2 місяці тому

    This is so helpful.

  • @BoTheJo
    @BoTheJo 4 роки тому +2

    Thank you for the help.

  • @kenthsalivio176
    @kenthsalivio176 3 роки тому +11

    9 years later, wondering if he's still looking good.

  • @Vativ
    @Vativ 2 роки тому +3

    Good refresher for what I have forgotten, thank you!

  • @oumaima5838
    @oumaima5838 4 роки тому +4

    I understand everything that you say thank you very much you are the best teacher in the world 💙💙💙💙

  • @luhonglin1430
    @luhonglin1430 4 роки тому +2

    Thank you soooo much, ur videos help me alottt

  • @pillowyflunky9931
    @pillowyflunky9931 Рік тому

    thank you sir

  • @beastmode2673
    @beastmode2673 7 місяців тому

    Watching this 15 mins before my pre cal test

  • @GMacYT
    @GMacYT Рік тому

    1:51
    Mr. McLogan: "I'll try to say them as slowly as possible"
    Me watching on 1.5x speed:

  • @RealSHOOTA_G.A.M
    @RealSHOOTA_G.A.M Рік тому

    Wow great video

  • @drwafflesyrup8546
    @drwafflesyrup8546 3 роки тому +1

    Why did he add the 0 on top of the -1x during the Long division part

    • @thatfamily2917
      @thatfamily2917 3 роки тому

      its because there was nothing but x cubed at the top, so (if you'll imagine a number line, that might help) when the x cubed was subtracted from the x cubed, you got 0. However, you still had the -1x, so it was effectively 0 - (-1x).

  • @michaelmendez4563
    @michaelmendez4563 4 роки тому +1

    So the slant is x?

  • @itssheeza2324
    @itssheeza2324 4 роки тому +1

    I did the limit method of f(x) - x and f(x) /x I got the wrong answer why?

  • @NurenKhoslaTrumpet
    @NurenKhoslaTrumpet 3 роки тому

    bro i love you

  • @gman8138
    @gman8138 Рік тому

    bro the Johnny sins of math

  • @CluelessHadi
    @CluelessHadi 4 місяці тому

    Thank you Mr brian sir, teaching me my stuff better than my teachers 🫡

  • @rahulmitra50
    @rahulmitra50 3 роки тому +2

    f(x) = a(b)^x + c....... Horizontal asymptote is y=4........ 2 points of the function are(1, 0) and (2, -12)..... The function is decaying.... Find a, b and c
    Pls help with this one sir

  • @kyramiranda280
    @kyramiranda280 3 роки тому +1

    you literally are our school saviour

  • @daniellerodriguez3212
    @daniellerodriguez3212 2 роки тому +2

    Hi there, I am hoping that someone will read this and help me!! lol ... I am taking the math cset next week and there is a practice problem that states which of the following is an equation for the slant asymptote of f(x)= x^3 -1 /(divided by) x^2 and the answer is y=x BUT I CANNOT FIGURE OUT WHY!!!! HEEEEEELP

    • @emmawright9987
      @emmawright9987 Рік тому +2

      do long division with the given rational function. You will get the answer x+1/x^2. As he said in the video, don't worry about the remainder just the divisor without it, which is x. Therefore the answer is y=x

  • @almoraldeme8664
    @almoraldeme8664 4 роки тому +3

    0 minus negative 1 is positive x???

    • @_akanak
      @_akanak 4 роки тому +2

      subtracting a negative creates a positive

    • @almoraldeme8664
      @almoraldeme8664 4 роки тому

      AJ Kanakry yes!! haha, man thats basic division. this is why i got F in this lesson

  • @Lily-nx5yd
    @Lily-nx5yd 8 місяців тому

    You draw impressively straight line

  • @brooksmatetich6830
    @brooksmatetich6830 4 роки тому +6

    Thanks but that horizontal line was something else

  • @-smp-scientificmethodpersp838
    @-smp-scientificmethodpersp838 4 роки тому +8

    @3:25 I got cleared up some confusion that I got from the channel named: "The Organic Chemistry Tutor" I'm very impressed that you did this better than he did. This is exactly what I was hoping for, and why I'm here. 👍👍

  • @rivers3408
    @rivers3408 Рік тому

    My teacher barley explained this and expected us to know

  • @OG_Ricky_C
    @OG_Ricky_C 4 роки тому +3

    You’re a saint, thank you :)

  • @AJ-rm7jp
    @AJ-rm7jp 3 роки тому +2

    1:35 empty garbage task done

  • @sciso5480
    @sciso5480 2 роки тому

    Beautiful ❤️

  • @geektoys370
    @geektoys370 Рік тому

    How is a slant asymptote possible

  • @nicklatino7157
    @nicklatino7157 5 років тому +9

    You are very helpful, but dude, you must make your videos louder. I often times have to raise my computer volume all the way up just for your videos

  • @noahsenz854
    @noahsenz854 2 роки тому

    Watching this exactly a decade later.

  • @Noeddddd
    @Noeddddd Рік тому

    Ignacio Varga?

  • @netalisingh5079
    @netalisingh5079 5 років тому +1

    What if degree difference is 2....?

    • @luisorozco5418
      @luisorozco5418 5 років тому +1

      I'm pretty sure you still do the same thing

    • @danielbrown5504
      @danielbrown5504 4 роки тому +4

      There won't be an asymptote.

    • @abbeycollings7795
      @abbeycollings7795 4 роки тому

      There’s probably a hole

    • @seanm2818
      @seanm2818 4 роки тому

      There's no asymptote because an asymptote must be linear by definition. But, the graph will always approach the function that is the quotient of the two polynomials (without the remainder). So, if the quotient is x^2, then the graph will approach the parabola x^2, but again, it's not an asymptote, because it's not linear.

  • @abrahandelabastida843
    @abrahandelabastida843 3 роки тому

    This guy is doing our teacher's job for free

  • @notmehtacos3991
    @notmehtacos3991 2 роки тому

    10 years later me struggling in pre calculus hmmm help?

  • @PEARformance
    @PEARformance 9 місяців тому

    This video is 12 years old today

  • @hidden_fear4166
    @hidden_fear4166 3 роки тому +1

    I don't understand the slant at all. You should do more examples instead of one.

  • @TobySullivan
    @TobySullivan 4 роки тому +1

    so like math

  • @isaacma48
    @isaacma48 2 роки тому

    Thank you Tyson Fury

  • @lifescoolwhenyoudontlose9891
    @lifescoolwhenyoudontlose9891 2 роки тому

    Lol forgot how to do long division 😂

  • @daenbermudez3740
    @daenbermudez3740 4 роки тому

    Why is the residual not important?

  • @fr0g061
    @fr0g061 2 роки тому

    hi thank you so much i understood but i have realized something weird like Americans and europeans have very strange last name i mean what is McLogan oh my god

  • @heatherwilliams3987
    @heatherwilliams3987 2 роки тому +1

    this make no sense the stutter is real

  • @dianeweiss4562
    @dianeweiss4562 2 роки тому

    Why don’t you use standard terminology for numerator, denominator, dividend, etc.? I find that using standard terminology and pronunciation increases student understanding?

  • @WhatAMessJada
    @WhatAMessJada 4 роки тому

    I thought that it was 1x and not 0x I’ve never seen 0x Oml I’m terrible at math

  • @shanjohn970
    @shanjohn970 3 роки тому

    my prof took 4 hours to explain thing topic

  • @kl06m.
    @kl06m. 5 місяців тому

    does anyone else hear him say asympTOPE instead of asympTOTE

    • @brianmclogan
      @brianmclogan  5 місяців тому

      Brain playing tricks on you! 🤣

  • @BaseballsGoneYard
    @BaseballsGoneYard Рік тому +1

    IF YOU ARE READING THIS, YOUR ATTENTION SPAN IS WAYYY TOO SHORT. GO BACK TO WATCHING MR. MCLOGAN 😀

  • @balloony9497
    @balloony9497 3 роки тому

    who else is here cuz they cant do their history homework?

  • @paulmachiav
    @paulmachiav 3 роки тому +1

    10 years later, wonder if he's still looking good.