Asymptotes of rational functions | Polynomial and rational functions | Algebra II | Khan Academy

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  • เผยแพร่เมื่อ 14 ธ.ค. 2024

ความคิดเห็น • 103

  • @Smael64
    @Smael64 11 ปีที่แล้ว +59

    that calculator is frighteningly realistic

  • @noobz1992
    @noobz1992 10 ปีที่แล้ว +76

    Every video of yours i watch gives me more confident of what we are actually doing in math! Thank god you exist on youtube! God bless you!

  • @thomashopkins9346
    @thomashopkins9346 5 ปีที่แล้ว +15

    Honestly, schools should just play khan academy videos full time.

  • @biggiebill1
    @biggiebill1 13 ปีที่แล้ว +5

    Man, you explain so well. I understand better watching your lessons for 15 minutes than an hour and a half in class. Thank you so much!!

  • @kounelakie
    @kounelakie 7 ปีที่แล้ว +24

    i donated 100 dollars to you man thank you.. my mom says thank you from india !

  • @die4pie
    @die4pie 12 ปีที่แล้ว +31

    MC Asymptote: Can't touch this.

  • @standardkeyboard
    @standardkeyboard 14 ปีที่แล้ว +32

    dear sal,
    can you post a tutorial on how to steal your brain?
    love,
    me

  • @justinkim__7
    @justinkim__7 4 ปีที่แล้ว +13

    Ad: Are those videos from 2010 realllyyy helping?
    Me: Uhhh... YES

    • @jialiliang8608
      @jialiliang8608 4 ปีที่แล้ว +1

      Period lmao

    • @jkook_x97
      @jkook_x97 4 ปีที่แล้ว +2

      well math is math lol

  • @sheikh03
    @sheikh03 14 ปีที่แล้ว +3

    This is amazing, thank you Khan..I hope that your organization will continue to expand in the future

  • @alkalait
    @alkalait 14 ปีที่แล้ว +1

    a = never
    sy = with
    mptote = falling
    these Greek words make perfect sense, if you know Greek that is.

  • @MrDanTheMathMan
    @MrDanTheMathMan 11 ปีที่แล้ว

    Think of it this way: add in the term of the same degree to the numerator with a coefficient of 0. So for example, (x+1) / (x^2) would become (0x^2 + x + 1) / (x^2). Horizontal asymptote is the coefficients of the highest degree terms, (numerator / denominator). 0 divided by any # is 0. So in the example, (0x^2) / (x^2) is 0/1 which is 0. So the horizontal asymptote is y=0.

  • @Actraiser1
    @Actraiser1 10 ปีที่แล้ว +10

    I think I'm beginning to understand it, but I might need to watch this a couple more times..

  • @bobsters34
    @bobsters34 9 ปีที่แล้ว +5

    Thank you! Khan academy is helping me identify and fix all the holes left from my high school algebra career (they are many) and for the first time I'm really understanding the theory behind it! Understanding it is really making me enjoy math and giving me confidence that I'll be able to handle more advanced courses c:

  • @NavjotGraphicDesign
    @NavjotGraphicDesign 13 ปีที่แล้ว

    I can count on you when nothing else works. You always come through. Thanks so much Mr. Khan.

  • @shockwave2477
    @shockwave2477 4 ปีที่แล้ว +3

    9:17

    • @a1chrisryan1a
      @a1chrisryan1a 4 ปีที่แล้ว

      Bro I laughed so hard at that part

  • @TheMarkoPoloProgram
    @TheMarkoPoloProgram 11 ปีที่แล้ว

    I learn more from your videos than my prof. I can barely even understand a word he says. I don't go to his lectures anymore instead I skip and watch your videos. Thank you.

  • @storypedia
    @storypedia 10 ปีที่แล้ว +16

    this is so hard oh my god

  • @LunaTuonante
    @LunaTuonante 12 ปีที่แล้ว +8

    "this part of the graph is gonna look like something like THAAAAAAAAAAAAAT" lol

  • @Oranji_Juice
    @Oranji_Juice 7 ปีที่แล้ว

    These videos literally prepare me for tests more than the actual in-class lessons do. God bless you, Khan Academy. I literally can't thank you enough.

  • @Cosmicdoughtnut
    @Cosmicdoughtnut 7 ปีที่แล้ว +1

    These videos are a better study tool than my entire class, thank you so much

  • @444zane3
    @444zane3 13 ปีที่แล้ว

    it amazes me how u cover every topic in algebra

  • @jvaniee
    @jvaniee 11 ปีที่แล้ว

    Thank you so much!! I watched videos showing me how to algebraically find asymptotes but none ever showed me what they really look like & their true meaning!!!!

  • @valentinacalivano8436
    @valentinacalivano8436 12 ปีที่แล้ว

    Finding khan's video's is such a relief ...

  • @laurencrom
    @laurencrom 12 ปีที่แล้ว

    Kahn, can you please make a video on solving for the imaginary and real roots of a cubic function? That would help out a TON!!
    Thanks!

  • @white_shadow_123
    @white_shadow_123 11 ปีที่แล้ว +2

    Because teachers start with definitions and generalized examples and you just get bored, so you probably start playing games on your phone or something like that. I know i do. If every new lecture would start with easy example so we know what is going on, everyone would listen and understand it..I have an exam tomorrow, and sadly, that's why I'm here..

  • @luketechco
    @luketechco 13 ปีที่แล้ว

    @Muusicca you do know that nothing is misspelled right? "proofing" and "proving" are different things, both are mechanically and grammatically correct and "proofing" was correct in this context.

  • @hannahcaplan9261
    @hannahcaplan9261 11 ปีที่แล้ว

    you are my favorite teacher that i've ever had

  • @lillyochoa1268
    @lillyochoa1268 3 ปีที่แล้ว

    Love Khan academy my favorite channel, I don't think I would be able to do my math without it.

  • @hitaro47
    @hitaro47 13 ปีที่แล้ว +1

    lol i love it how you pulled out an actual graphics calculator

  • @WooHoo507
    @WooHoo507 12 ปีที่แล้ว +1

    This helped sooo much. Just wish it wasn't twenty minutes :P

  • @narek_babajanyan
    @narek_babajanyan 11 ปีที่แล้ว

    Love you man, you got us, students covered ;) Thanks for the video, very useful before a test

  • @paulkonerko6055
    @paulkonerko6055 12 ปีที่แล้ว

    thank God for Khan Academy

  • @santimdq93
    @santimdq93 12 ปีที่แล้ว

    there is some video about slant asymptotes? those are always very difficult for me

  • @CherrylovesDTI
    @CherrylovesDTI 13 ปีที่แล้ว

    Just threw my book through the window... so helpfull

  • @Plantsandtoyhorses
    @Plantsandtoyhorses 12 ปีที่แล้ว +1

    "really really bigness..." ;) hah nice! I love how Sal sneaks in the humor in his videos.

  • @luketechco
    @luketechco 13 ปีที่แล้ว

    @Muusicca what are you talking about? what is misspelled?

  • @KingdomofGeorgia1
    @KingdomofGeorgia1 10 ปีที่แล้ว +4

    This is better than examples in my textbook.

  • @lexinaut
    @lexinaut 14 ปีที่แล้ว +1

    higher than any fireworks display, longer than any empire
    is the pure flight of the curve seeking infinity.
    (A little philosophical poetry about this topic) Why the heck not?

  • @ChukGreenChileGuy
    @ChukGreenChileGuy 11 ปีที่แล้ว +1

    so why do you explain this better in 20 minutes than my math teacher does in 5 days?

  • @motobmurray
    @motobmurray 12 ปีที่แล้ว

    @khanacademy you need to do one that after the whole x squared dived by x squared minus 16 there is plus 3 or minus 12.

  • @dudeB15
    @dudeB15 13 ปีที่แล้ว

    if the denominator cant be factor in order to find the horizontal asymptote do i have to use the quadratic equation in order to find the zeros of the rational functions?

  • @mr.non-obvious7872
    @mr.non-obvious7872 8 ปีที่แล้ว

    Excellent job !

  • @alicevlogs
    @alicevlogs 13 ปีที่แล้ว

    Thank you SO MUCH!!!!

  • @missiongaming6691
    @missiongaming6691 11 ปีที่แล้ว

    u explane the math better than my math tacher does

  • @WIIID28
    @WIIID28 3 ปีที่แล้ว

    thank you , i understand

  • @holdingontowater
    @holdingontowater 13 ปีที่แล้ว

    good video... I liked it "really really bigness"

  • @liviaw2636
    @liviaw2636 11 ปีที่แล้ว

    Amazing, thank you

  • @AdamaseLoving
    @AdamaseLoving 12 ปีที่แล้ว

    How do you get the calculator on the screen?

  • @colewinter2041
    @colewinter2041 6 ปีที่แล้ว

    I need this guy to be my math teacher

  • @garretroberts2591
    @garretroberts2591 11 ปีที่แล้ว

    hi, i have a question. When the numerator is less than the denominator (the degrees) i know that it is "Bigger Bottom Zero" as my teacher taught it and the horizontal asymptote = zero. I want to know why that happens. Please respond when you can. Thanks Sal

  • @bb33nnii
    @bb33nnii 13 ปีที่แล้ว

    u teach algebra too?!! so now i can come to u for chem and math :D

  • @gur0004
    @gur0004 11 ปีที่แล้ว

    I tried watching both with split screen but my vertical asymptote got very large so i stopped porn and let my asymptote cool down and now i understand vertical asymptotes! coooooooool

  • @drewpasttenseofdraw
    @drewpasttenseofdraw 14 ปีที่แล้ว

    @alkalait Dictionaries with egyptologies are great, front on.

  • @miriamrockchick
    @miriamrockchick 11 ปีที่แล้ว

    thank you sal!

  • @chapin3206
    @chapin3206 5 ปีที่แล้ว

    We had a pop quiz today on graphing radical functions without a calculator. We had to know the domain, range, x-int, y-int, v adymptote, h asymptote, holes, whether it was cont., and if so, points of dcon. As well as graph using specific points. She gave us 10 min to do two probs. You can guess how that went.

  • @trinayanbhuyan3573
    @trinayanbhuyan3573 3 ปีที่แล้ว

    Hi from India

  • @esa9289
    @esa9289 2 ปีที่แล้ว

    Hi! Thank you for sharing your knowledge! Can we use this video for our research as one of our sources? Surely we will greatly appreciate your consent and we’ll make sure to cite your video properly. Thanks!

  • @akshinator417
    @akshinator417 10 ปีที่แล้ว

    thx

  • @ranafa7726
    @ranafa7726 9 ปีที่แล้ว

    you are AWSOME !!!!!!

  • @saritaniroula8774
    @saritaniroula8774 7 ปีที่แล้ว

    genius!

  • @carleybuetow67
    @carleybuetow67 12 ปีที่แล้ว

    thx, love ya

  • @luketechco
    @luketechco 14 ปีที่แล้ว

    just got 5 more points on my exam for proofing rational function graphs :D

  • @LaBam85
    @LaBam85 11 ปีที่แล้ว

    !!!!thank you

  • @mentalmistake5424
    @mentalmistake5424 7 ปีที่แล้ว +2

    My teacher always called them Asymtopes, I guess there's no difference but still.

  • @oxShirinuixo
    @oxShirinuixo 12 ปีที่แล้ว

    I love you.

  • @motobmurray
    @motobmurray 12 ปีที่แล้ว

    @Underdisc Fo yo info I got an a... Cause I liked it.

  • @Remascard
    @Remascard 11 ปีที่แล้ว

    Why are we doing this in Pre-Ap Algebra II ?!

  • @ks-qz6mc
    @ks-qz6mc 4 ปีที่แล้ว

    How made Korean sub... really appreciate

  • @PeerasutWongsuthipol
    @PeerasutWongsuthipol 11 ปีที่แล้ว

    What is the calculator program you used?

  • @chadley
    @chadley 7 ปีที่แล้ว

    What do I do when my coefficients are different?

  • @klooku
    @klooku 11 ปีที่แล้ว

    every time something simple is explained i go oooohhhhhhh, so that's how you get that lol

  • @babelKONI
    @babelKONI 9 ปีที่แล้ว

    Any practical applications?

    • @babelKONI
      @babelKONI 8 ปีที่แล้ว

      Lol, I barely remember commenting this.

    • @ekid9526
      @ekid9526 5 ปีที่แล้ว

      It’s math so ofc not

  • @emptyglo
    @emptyglo 11 ปีที่แล้ว

    Procastinating Algebra II Virtual School to look up Calculus/Pre-Calc... -_-

  • @Underdisc
    @Underdisc 13 ปีที่แล้ว

    The four people that disliked this got an F.

  • @oObadphishOo
    @oObadphishOo 11 ปีที่แล้ว

    my teacher spent 20 minutes on this topic, consider yourself lucky.

  • @charleswu830
    @charleswu830 11 ปีที่แล้ว

    ditto

  • @vonneltaft
    @vonneltaft 3 ปีที่แล้ว

    Ready kana hit quiz? Hahaha

  • @oiramormedeiros
    @oiramormedeiros 12 ปีที่แล้ว

    What is the problem?

  • @oliviaclark5479
    @oliviaclark5479 3 ปีที่แล้ว

    there is no way he said more than five different phrases throughout this video

  • @MrUnladenswallow
    @MrUnladenswallow 12 ปีที่แล้ว

    Domain: all real numbers except when x= gandalf
    YOU SHALL NOT PASS!!!!

  • @GreenEggism
    @GreenEggism 13 ปีที่แล้ว

    "this thing asymptotes away"

  • @fire9132
    @fire9132 14 ปีที่แล้ว

    @aRAUSEr7 He's using a tablet

  • @mazhar897
    @mazhar897 12 ปีที่แล้ว

    who would dislike this video.............people just love clicking the dislike button

  • @MsZsc
    @MsZsc 7 ปีที่แล้ว

    lol "asymptotes away"

  • @TheAInfinity
    @TheAInfinity 11 ปีที่แล้ว

    Students can't use a calculator on a test, so is there a way where one could visualize the answer without having to bunch in numbers?

  • @ROCK1337ful
    @ROCK1337ful 11 ปีที่แล้ว

    uploaded on 420

  • @brianacorrielus8890
    @brianacorrielus8890 7 ปีที่แล้ว

    isn't the va Y=0

    • @abraxamovic
      @abraxamovic 7 ปีที่แล้ว

      Briana Corrielus No, it’s 1. Just watch this 👉🏻 th-cam.com/video/0cPptjKTR7M/w-d-xo.html

  • @BrandonRauser
    @BrandonRauser 14 ปีที่แล้ว

    lol, writing with a mouse takes skills.

  • @amazingunseen681
    @amazingunseen681 5 ปีที่แล้ว

    This calculator is very irritating!