Finding the Slant Asymptote

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  • เผยแพร่เมื่อ 2 พ.ย. 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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ความคิดเห็น • 122

  • @huzaifavirk7035
    @huzaifavirk7035 4 ปีที่แล้ว +528

    Like all bald characters, this dude is also overpowered.

    • @aebious8886
      @aebious8886 4 ปีที่แล้ว +36

      thanos, one punch man, *Brian McLogan*

    • @SHHitsOVER254
      @SHHitsOVER254 3 ปีที่แล้ว +10

      😂 The internet remains undefeated...

    • @prosperofarrell7311
      @prosperofarrell7311 3 ปีที่แล้ว +2

      😂

    • @AwesomeSauce7176
      @AwesomeSauce7176 2 ปีที่แล้ว +1

      All Wraiths with the bald skin in Apex Legends.

    • @satrickptar6265
      @satrickptar6265 2 ปีที่แล้ว +1

      Don't forget Johnny Sins, a man of many talents.

  • @ballisticfn8586
    @ballisticfn8586 3 ปีที่แล้ว +311

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

    • @diegonunez3492
      @diegonunez3492 3 ปีที่แล้ว +14

      No disrespect to my teacher but this is factual

    • @BaseballsGoneYard
      @BaseballsGoneYard ปีที่แล้ว +1

      @@diegonunez3492 Real

    • @UntotenTheo
      @UntotenTheo 10 หลายเดือนก่อน +1

      @@BaseballsGoneYard REALLY real

  • @AusumnVid
    @AusumnVid 4 ปีที่แล้ว +233

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

    • @cerve6853
      @cerve6853 3 ปีที่แล้ว +3

      hopefully

    • @jetta.65
      @jetta.65 3 ปีที่แล้ว +13

      still makes videos!! lol

    • @h3x4ry55
      @h3x4ry55 3 ปีที่แล้ว +4

      its 9 now ➿

    • @michellewong3392
      @michellewong3392 2 ปีที่แล้ว +7

      @@h3x4ry55 10 now !

    • @thorodinson6649
      @thorodinson6649 2 ปีที่แล้ว +3

      @@michellewong3392 15 now!

  • @Lordox102
    @Lordox102 5 ปีที่แล้ว +146

    turn on subtitles at 1:37

    • @muiz4444
      @muiz4444 5 ปีที่แล้ว +4

      lol

    • @henrg
      @henrg 5 ปีที่แล้ว +6

      I mean thats what it sounds like he said so

    • @aebious8886
      @aebious8886 4 ปีที่แล้ว +35

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

    • @addir9502
      @addir9502 4 ปีที่แล้ว +1

      Thank you for this 😂😂

    • @user-ki4jc7il1n
      @user-ki4jc7il1n 3 ปีที่แล้ว

      😂😂😂😂😂😂

  • @michaelmcdonald3427
    @michaelmcdonald3427 3 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +14

      Absolutely! What you teaching these days

  • @Jay-tk2lw
    @Jay-tk2lw 2 ปีที่แล้ว +2

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

  • @potatoxd9797
    @potatoxd9797 3 ปีที่แล้ว +34

    This really helps in quarantine times. Thank you!

  • @aren8662
    @aren8662 3 ปีที่แล้ว +29

    Man I remember you saving my ass back in highschool.

    • @justinstratford
      @justinstratford 2 ปีที่แล้ว

      saved me during highscool, and still saving me in college

  • @NUKINATOR44
    @NUKINATOR44 5 ปีที่แล้ว +13

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

    • @misted3508
      @misted3508 2 ปีที่แล้ว

      Weird flex but ok

  • @_quixote
    @_quixote ปีที่แล้ว

    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

  • @cati896
    @cati896 3 ปีที่แล้ว +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 ปีที่แล้ว +2

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

  • @TillerTwo
    @TillerTwo 2 ปีที่แล้ว +16

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

  • @bbbhova3269
    @bbbhova3269 ปีที่แล้ว +2

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

  • @asirzaki9522
    @asirzaki9522 3 ปีที่แล้ว +8

    3:55 got me a stroke

  • @evilsniper5897
    @evilsniper5897 ปีที่แล้ว +3

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

  • @poopremoval
    @poopremoval ปีที่แล้ว

    thank you Mr. Mclogan

  • @khufra-7924
    @khufra-7924 ปีที่แล้ว +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  ปีที่แล้ว +1

      So happy to help you out!!0

    • @skty1
      @skty1 9 หลายเดือนก่อน

      me too!

  • @VishweshC
    @VishweshC 2 หลายเดือนก่อน

    This is so helpful.

  • @BoTheJo
    @BoTheJo 4 ปีที่แล้ว +2

    Thank you for the help.

  • @kenthsalivio176
    @kenthsalivio176 3 ปีที่แล้ว +11

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

  • @luhonglin1430
    @luhonglin1430 4 ปีที่แล้ว +2

    Thank you soooo much, ur videos help me alottt

  • @oumaima5838
    @oumaima5838 4 ปีที่แล้ว +4

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

  • @Vativ
    @Vativ 2 ปีที่แล้ว +3

    Good refresher for what I have forgotten, thank you!

  • @GMacYT
    @GMacYT 11 หลายเดือนก่อน

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

  • @michaelmendez4563
    @michaelmendez4563 4 ปีที่แล้ว +1

    So the slant is x?

  • @RealSHOOTA_G.A.M
    @RealSHOOTA_G.A.M ปีที่แล้ว

    Wow great video

  • @pillowyflunky9931
    @pillowyflunky9931 ปีที่แล้ว

    thank you sir

  • @itssheeza2324
    @itssheeza2324 4 ปีที่แล้ว +1

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

  • @drwafflesyrup8546
    @drwafflesyrup8546 3 ปีที่แล้ว +1

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

    • @thatfamily2917
      @thatfamily2917 3 ปีที่แล้ว

      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).

  • @NurenKhoslaTrumpet
    @NurenKhoslaTrumpet 3 ปีที่แล้ว

    bro i love you

  • @beastmode2673
    @beastmode2673 7 หลายเดือนก่อน

    Watching this 15 mins before my pre cal test

  • @rahulmitra50
    @rahulmitra50 3 ปีที่แล้ว +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

    • @kl6544
      @kl6544 3 ปีที่แล้ว

      No

  • @daniellerodriguez3212
    @daniellerodriguez3212 2 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +3

    0 minus negative 1 is positive x???

    • @_akanak
      @_akanak 4 ปีที่แล้ว +2

      subtracting a negative creates a positive

    • @almoraldeme8664
      @almoraldeme8664 4 ปีที่แล้ว

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

  • @nicklatino7157
    @nicklatino7157 5 ปีที่แล้ว +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

  • @geektoys370
    @geektoys370 ปีที่แล้ว

    How is a slant asymptote possible

  • @Lily-nx5yd
    @Lily-nx5yd 8 หลายเดือนก่อน

    You draw impressively straight line

  • @Noeddddd
    @Noeddddd ปีที่แล้ว

    Ignacio Varga?

  • @OG_Ricky_C
    @OG_Ricky_C 4 ปีที่แล้ว +3

    You’re a saint, thank you :)

  • @-smp-scientificmethodpersp838
    @-smp-scientificmethodpersp838 4 ปีที่แล้ว +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. 👍👍

  • @brooksmatetich6830
    @brooksmatetich6830 4 ปีที่แล้ว +6

    Thanks but that horizontal line was something else

  • @noahsenz854
    @noahsenz854 2 ปีที่แล้ว

    Watching this exactly a decade later.

  • @AJ-rm7jp
    @AJ-rm7jp 3 ปีที่แล้ว +2

    1:35 empty garbage task done

  • @gman8138
    @gman8138 ปีที่แล้ว

    bro the Johnny sins of math

  • @notmehtacos3991
    @notmehtacos3991 2 ปีที่แล้ว

    10 years later me struggling in pre calculus hmmm help?

  • @netalisingh5079
    @netalisingh5079 5 ปีที่แล้ว +1

    What if degree difference is 2....?

    • @luisorozco5418
      @luisorozco5418 5 ปีที่แล้ว +1

      I'm pretty sure you still do the same thing

    • @danielbrown5504
      @danielbrown5504 4 ปีที่แล้ว +4

      There won't be an asymptote.

    • @abbeycollings7795
      @abbeycollings7795 4 ปีที่แล้ว

      There’s probably a hole

    • @seanm2818
      @seanm2818 4 ปีที่แล้ว

      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.

  • @kyramiranda280
    @kyramiranda280 3 ปีที่แล้ว +1

    you literally are our school saviour

  • @rivers3408
    @rivers3408 ปีที่แล้ว

    My teacher barley explained this and expected us to know

  • @PEARformance
    @PEARformance 8 หลายเดือนก่อน

    This video is 12 years old today

  • @sciso5480
    @sciso5480 2 ปีที่แล้ว

    Beautiful ❤️

  • @TobySullivan
    @TobySullivan 4 ปีที่แล้ว +1

    so like math

  • @hidden_fear4166
    @hidden_fear4166 3 ปีที่แล้ว +1

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

  • @isaacma48
    @isaacma48 2 ปีที่แล้ว

    Thank you Tyson Fury

  • @daenbermudez3740
    @daenbermudez3740 4 ปีที่แล้ว

    Why is the residual not important?

  • @abrahandelabastida843
    @abrahandelabastida843 3 ปีที่แล้ว

    This guy is doing our teacher's job for free

  • @shanjohn970
    @shanjohn970 3 ปีที่แล้ว

    my prof took 4 hours to explain thing topic

  • @lifescoolwhenyoudontlose9891
    @lifescoolwhenyoudontlose9891 2 ปีที่แล้ว

    Lol forgot how to do long division 😂

  • @WhatAMessJada
    @WhatAMessJada 4 ปีที่แล้ว

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

  • @fr0g061
    @fr0g061 2 ปีที่แล้ว

    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

  • @BaseballsGoneYard
    @BaseballsGoneYard ปีที่แล้ว +1

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

  • @heatherwilliams3987
    @heatherwilliams3987 2 ปีที่แล้ว +1

    this make no sense the stutter is real

  • @dianeweiss4562
    @dianeweiss4562 2 ปีที่แล้ว

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

  • @kl06m.
    @kl06m. 5 หลายเดือนก่อน

    does anyone else hear him say asympTOPE instead of asympTOTE

    • @brianmclogan
      @brianmclogan  5 หลายเดือนก่อน

      Brain playing tricks on you! 🤣

  • @balloony9497
    @balloony9497 3 ปีที่แล้ว

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

  • @CluelessHadi
    @CluelessHadi 4 หลายเดือนก่อน

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

  • @paulmachiav
    @paulmachiav 3 ปีที่แล้ว +1

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