Finding the Slant Asymptote

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  • Опубликовано: 13 окт 2024
  • 👉 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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Комментарии • 124

  • @ballisticfn8586
    @ballisticfn8586 4 года назад +323

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

  • @huzaifavirk7035
    @huzaifavirk7035 4 года назад +544

    Like all bald characters, this dude is also overpowered.

  • @michaelmcdonald3427
    @michaelmcdonald3427 4 года назад +51

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

  • @Lordox102
    @Lordox102 5 лет назад +147

    turn on subtitles at 1:37

    • @muiz4444
      @muiz4444 5 лет назад +4

      lol

    • @henrg
      @henrg 5 лет назад +6

      I mean thats what it sounds like he said so

    • @aebious8886
      @aebious8886 4 года назад +35

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

    • @addir9502
      @addir9502 4 года назад +1

      Thank you for this 😂😂

    • @user-ki4jc7il1n
      @user-ki4jc7il1n 4 года назад

      😂😂😂😂😂😂

  • @AusumnVid
    @AusumnVid 4 года назад +237

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

  • @ketofitforlife2917
    @ketofitforlife2917 3 года назад +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 года назад +14

      Absolutely! What you teaching these days

  • @livotrac2145
    @livotrac2145 16 дней назад

    12 years later and his vid is still alive , i have a test in couple of days and i really appreciate his work as it helped so much .

  • @potatoxd9797
    @potatoxd9797 3 года назад +34

    This really helps in quarantine times. Thank you!

  • @Jay-tk2lw
    @Jay-tk2lw 2 года назад +3

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

  • @bbbhova3269
    @bbbhova3269 2 года назад +3

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

  • @aren8662
    @aren8662 4 года назад +30

    Man I remember you saving my ass back in highschool.

    • @justinstratford
      @justinstratford 2 года назад

      saved me during highscool, and still saving me in college

  • @evilsniper5897
    @evilsniper5897 Год назад +4

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

  • @TillerTwo
    @TillerTwo 2 года назад +16

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

  • @khufra-7924
    @khufra-7924 Год назад +3

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

  • @_quixote
    @_quixote Год назад

    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

  • @NUKINATOR44
    @NUKINATOR44 5 лет назад +13

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

  • @cati896
    @cati896 4 года назад +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 года назад +2

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

  • @GMacYT
    @GMacYT Год назад

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

  • @VishweshC
    @VishweshC 4 месяца назад

    This is so helpful.

  • @Vativ
    @Vativ 2 года назад +3

    Good refresher for what I have forgotten, thank you!

  • @-smp-scientificmethodpersp838
    @-smp-scientificmethodpersp838 4 года назад +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. 👍👍

  • @kenthsalivio176
    @kenthsalivio176 3 года назад +11

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

  • @asirzaki9522
    @asirzaki9522 4 года назад +8

    3:55 got me a stroke

  • @rahulmitra50
    @rahulmitra50 3 года назад +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

  • @oumaima5838
    @oumaima5838 4 года назад +4

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

  • @kyramiranda280
    @kyramiranda280 4 года назад +1

    you literally are our school saviour

  • @beastmode2673
    @beastmode2673 10 месяцев назад

    Watching this 15 mins before my pre cal test

  • @nicklatino7157
    @nicklatino7157 5 лет назад +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

  • @jasonengelage2907
    @jasonengelage2907 4 дня назад

    what irrational thing would happen if the graph touched the slant asymptote?

  • @pillowyflunky9931
    @pillowyflunky9931 Год назад

    thank you sir

  • @abrahandelabastida843
    @abrahandelabastida843 3 года назад

    This guy is doing our teacher's job for free

  • @St.leoMAGNVS
    @St.leoMAGNVS Год назад

    Wow great video

  • @Lily-nx5yd
    @Lily-nx5yd 11 месяцев назад

    You draw impressively straight line

  • @daniellerodriguez3212
    @daniellerodriguez3212 2 года назад +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 Год назад +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

  • @luhonglin1430
    @luhonglin1430 5 лет назад +2

    Thank you soooo much, ur videos help me alottt

  • @OG_Ricky_C
    @OG_Ricky_C 4 года назад +3

    You’re a saint, thank you :)

  • @gman8138
    @gman8138 Год назад

    bro the Johnny sins of math

  • @NurenKhoslaTrumpet
    @NurenKhoslaTrumpet 3 года назад

    bro i love you

  • @BoTheJo
    @BoTheJo 5 лет назад +2

    Thank you for the help.

  • @brooksmatetich6830
    @brooksmatetich6830 4 года назад +6

    Thanks but that horizontal line was something else

  • @rivers3408
    @rivers3408 Год назад

    My teacher barley explained this and expected us to know

  • @drwafflesyrup8546
    @drwafflesyrup8546 3 года назад +1

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

    • @thatfamily2917
      @thatfamily2917 3 года назад

      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).

  • @noahsenz854
    @noahsenz854 2 года назад

    Watching this exactly a decade later.

  • @almoraldeme8664
    @almoraldeme8664 4 года назад +3

    0 minus negative 1 is positive x???

    • @_akanak
      @_akanak 4 года назад +2

      subtracting a negative creates a positive

    • @almoraldeme8664
      @almoraldeme8664 4 года назад

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

  • @michaelmendez4563
    @michaelmendez4563 4 года назад +1

    So the slant is x?

  • @AJ-rm7jp
    @AJ-rm7jp 4 года назад +2

    1:35 empty garbage task done

  • @itssheeza2324
    @itssheeza2324 5 лет назад +1

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

  • @PEARformance
    @PEARformance 11 месяцев назад

    This video is 12 years old today

  • @geektoys370
    @geektoys370 Год назад

    How is a slant asymptote possible

  • @CluelessHadi
    @CluelessHadi 6 месяцев назад

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

  • @sciso5480
    @sciso5480 3 года назад

    Beautiful ❤️

  • @hidden_fear4166
    @hidden_fear4166 4 года назад +1

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

  • @BaseballsGoneYard
    @BaseballsGoneYard Год назад +2

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

  • @Noeddddd
    @Noeddddd Год назад

    Ignacio Varga?

  • @notmehtacos3991
    @notmehtacos3991 2 года назад

    10 years later me struggling in pre calculus hmmm help?

  • @TobySullivan
    @TobySullivan 4 года назад +1

    so like math

  • @isaacma48
    @isaacma48 2 года назад

    Thank you Tyson Fury

  • @dianeweiss4562
    @dianeweiss4562 3 года назад

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

  • @daenbermudez3740
    @daenbermudez3740 4 года назад

    Why is the residual not important?

  • @netalisingh5079
    @netalisingh5079 5 лет назад +1

    What if degree difference is 2....?

    • @luisorozco5418
      @luisorozco5418 5 лет назад +1

      I'm pretty sure you still do the same thing

    • @danielbrown5504
      @danielbrown5504 5 лет назад +4

      There won't be an asymptote.

    • @abbeycollings7795
      @abbeycollings7795 5 лет назад

      There’s probably a hole

    • @seanm2818
      @seanm2818 4 года назад

      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.

  • @lifescoolwhenyoudontlose9891
    @lifescoolwhenyoudontlose9891 2 года назад

    Lol forgot how to do long division 😂

  • @fr0g061
    @fr0g061 2 года назад

    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

  • @WhatAMessJada
    @WhatAMessJada 4 года назад

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

  • @kl06m.
    @kl06m. 7 месяцев назад

    does anyone else hear him say asympTOPE instead of asympTOTE

    • @brianmclogan
      @brianmclogan  7 месяцев назад

      Brain playing tricks on you! 🤣

  • @shanjohn970
    @shanjohn970 3 года назад

    my prof took 4 hours to explain thing topic

  • @balloony9497
    @balloony9497 3 года назад

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

  • @heatherwilliams3987
    @heatherwilliams3987 2 года назад +1

    this make no sense the stutter is real

  • @poopremoval
    @poopremoval Год назад

    thank you Mr. Mclogan

  • @paulmachiav
    @paulmachiav 3 года назад +1

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