Horizontal Asymptotes and Slant Asymptotes of Rational Functions

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  • Опубликовано: 1 янв 2025

Комментарии • 271

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +25

    Algebra - Free Formula Sheets: bit.ly/3CBeZMY
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  • @Kaininjagofan
    @Kaininjagofan 4 года назад +860

    Why does this guy make things look so much more easier than my teacher does, your actually going to help me pass my precalculas class

    • @nightandday7704
      @nightandday7704 2 года назад +10

      My teacher is doing this in algebra 2 😸

    • @leviloverweirdo7713
      @leviloverweirdo7713 2 года назад +28

      @@nightandday7704 the go over it in pre-calc too

    • @brianjohnson7513
      @brianjohnson7513 2 года назад +8

      When you have a gift it can seem wild to those who don’t share the same gift, he probably understands saying or teaching something that may seem complex to many that the best way is to try to make it sound as simple as possible and it seems that he loves teaching.

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      @im_diabetic2112 2 года назад +1

      I’m in the same exact situation lmao

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      @lindszzzz64839 2 года назад +1

      literally i’m in this exact position

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    @ConservativeHippie001 3 года назад +215

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    @Gregory-the-small 4 года назад +2056

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    @xenonmanaay1150 3 года назад +30

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  • @danishmobeen7396
    @danishmobeen7396 4 года назад +125

    I wish every teacher in the world would teach like you do.

  • @pigsonwings
    @pigsonwings 3 года назад +44

    was gonna say i didn’t understand the long division part then i watched his video explaining how to do them and now this video is so easy to understand. guy’s a genius

    • @whipzy4301
      @whipzy4301 10 месяцев назад +2

      very late reply but there is a quicker way called synthetic division, when you're dividing by those trinomials with a binomial it makes it so much easier.

  • @metiguda473
    @metiguda473 4 года назад +16

    I have a national exam in 2 months and you've relieved a lot of stress for me. Thank you so much. God bless you!!!

  • @georgesadler7830
    @georgesadler7830 3 года назад +23

    MR. Organic Chemistry tutor ,thank you for a well explained and solid analysis of Horizontal and Slant Asymptotes in precalculus.

  • @fridamoreno9689
    @fridamoreno9689 3 года назад +5

    You explained what my teacher couldn’t answer in less than 5 seconds. I love you

  • @KassandraTovar
    @KassandraTovar 3 года назад +14

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  • @daughtersofsparda
    @daughtersofsparda 5 лет назад +11

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    @anthonydominguez6556 Год назад +1

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  • @yiktingcheuk9986
    @yiktingcheuk9986 3 года назад +1

    By a student from hk: your video is really useful that you make a student from the other side of the world to understand, thanks a lot

  • @marrymemyeonginlee3117
    @marrymemyeonginlee3117 3 года назад +1

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  • @nejcocepek8357
    @nejcocepek8357 10 месяцев назад +8

    in the first case of slant asymptote the asymptote does not exist since the remainder of long division is zero and if we cancel out the terms we see that we get linear function with equation y = x + 2 with a missing point at x = -3 which lies on the asymptote and that contradicts with the definition of an asymptote

    • @ad-np8ko
      @ad-np8ko 6 месяцев назад

      exactly i was confused on why he said it was slant

  • @mantuli_ka1
    @mantuli_ka1 Год назад +7

    I'm writing my second Calculus test on Thursday, and I'm confident I'm also gonna pass it. Thank you for your existence❤️

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    @ninyqin7086 3 года назад +2

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    @qazwad2772 10 месяцев назад +2

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  • @janiegonzalez6316
    @janiegonzalez6316 Месяц назад

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  • @dakshitakothari6835
    @dakshitakothari6835 3 года назад +4

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  • @EstherAhiableEyram
    @EstherAhiableEyram 7 месяцев назад

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  • @EliteBarbarian5
    @EliteBarbarian5 16 дней назад

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    @nirvanakitty1007 4 года назад +3

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    @mccadewaite6057 Год назад

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    @aoconnor2933 3 года назад +1

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    @JulianaOkuk 2 месяца назад +1

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    @waelnagy9330 6 лет назад +12

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    @jameserayburn 5 лет назад +2

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  • @tmthyaj
    @tmthyaj 5 лет назад +22

    10:01 lmao i thought it was (7x-y) + y but the y was actually 4 😂 anyways great video man!

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    @abdullahalajeel4801 Год назад

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  • @brakk7117
    @brakk7117 2 года назад

    its amazing how you didnt stretch this into an 80 minute lesson for absolutely no reason!

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    @heleenghafour7847 2 года назад

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  • @fundamentalsofphysicsnmath4306
    @fundamentalsofphysicsnmath4306 2 года назад

    Thanks for such a nice explanation. Love you from India......

  • @tanujakumar3411
    @tanujakumar3411 Год назад

    I hv exam of calculus on 21 dec, well this sir is gonna help me so much, u teach so well , i only have watched 2videos of yours and i feel like i will pass onlye because of you sir ,thank you 🤞✨

  • @the_br0wnie294
    @the_br0wnie294 5 месяцев назад

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  • @brandenvlogs101
    @brandenvlogs101 Год назад

    Thank you so much I have an exam coming up for pre calc and this low key confused me until u explained

  • @mlh6997
    @mlh6997 3 года назад

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    @Sarah-ih1pj 4 года назад +9

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    @lenoribahi 3 месяца назад

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  • @syntax1971
    @syntax1971 Год назад

    Ingl you are saving my life every single day i have precalc class

  • @Sapjor17
    @Sapjor17 2 месяца назад

    I will send this video to my teacher so that he learns from you, you are a master at teaching, he tries to make it 10x harder than it is

  • @noeldiaz1354
    @noeldiaz1354 4 года назад +6

    its easy to remember if u think like this...
    Think the rational expression as a building
    if its top heavy just by one it will collapse but not desintagrate resulting in a oblique line
    if its top heavy by more than one it will collapse and desintagrate, theres no line!
    if its bottom heavy well the building its on the floor as it should be, y=0
    if top and bottom are equally heavy, then divide those bad boys

    • @urmom8565
      @urmom8565 4 года назад

      omg... this is genius thank you

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      @narphaloe6465 4 года назад

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    @sonoresmore 3 года назад

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  • @jaytzy9858
    @jaytzy9858 Год назад +1

    Straight to the point
    Btw thanks bro

  • @lackability6000
    @lackability6000 11 месяцев назад +1

    Absolute CHAD! TYSM!

  • @pankajamin242
    @pankajamin242 Год назад

    Bro thank you so much u saved my exam 💯

  • @jackwilson4324
    @jackwilson4324 5 лет назад +4

    I'm talking about: x^2+5x+6/X+3, but algebraic long division is probably something to get marks in the exam, rather than factoring, both ways are not that hard, after you explained them.

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    @EstherAhiableEyram 7 месяцев назад

    I really like watching math videos by this man

  • @jangy36
    @jangy36 Месяц назад +1

    8:28 but that one has an asymptote where it's a cubic function

  • @pompom2621
    @pompom2621 4 года назад +169

    Why do teachers get paid when I don’t even learn from them.

    • @_empty_4945
      @_empty_4945 4 года назад +9

      Question of the century

    • @The_jezeb3l
      @The_jezeb3l 3 года назад +6

      tenure this is when school sign contracts with teacher pretty much guarantees them a job for life no matter what. That's why when you get a bad teacher most of the time they get away with it. Even if they are so bad and the school decides to fire them the school has to go through a complicated process that can last at least a year or longer. Chances of a teacher getting fired is 1 in 2000 compared to a doctor which is 1 in 57. The American public school system sucks. We need more teachers like this dude.

    • @DanoshTech
      @DanoshTech 4 месяца назад +1

      I have a teacher for calculus 1 that hasn't taught for 14 years and came back and she is terrible at teaching she goes on the textbook says copy down this example (explains nothing) then says to do questions 1-4 without telling us how to do it so every class we have to learn it on our own

  • @taiedy
    @taiedy 4 года назад +9

    Sorry, how can there be a slant asymptote if the equation at 5:20 factors cleanly into [x+2] without a remainder? Shouldn't there be a slant asymptote only if it leaves a remainder?

    • @headyshotta5777
      @headyshotta5777 4 года назад

      yes i think youre right, he made a mistake

  • @honeymnkrl
    @honeymnkrl 3 года назад

    Dudeeeee this is so easy with youuu

  • @frankketzman7245
    @frankketzman7245 4 года назад +3

    Great lessons sir, I learn a lot of you ! Thank you very mutch

  • @silverdove9911
    @silverdove9911 4 года назад +2

    This man is saving me in precalc

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    @yvettehernandez9038 2 года назад

    Omg you helped me so much many blessings to you

  • @dr.jenkem7574
    @dr.jenkem7574 3 года назад

    Exactly what I was looking for!

  • @imcoupe
    @imcoupe 2 месяца назад

    this is driving me insane thank you bro

  • @barrym5310
    @barrym5310 2 года назад +10

    By the way, synthetic division can be used to find the asymptote, although it might be easier to use polynomial long division in certain situations.

    • @daniaalsadi7208
      @daniaalsadi7208 Год назад

      Is synthetic devision the same as long division?

    • @sauffle
      @sauffle Год назад

      @@daniaalsadi7208 you end up getting the same answer in both but the way you get that answer is little different.

    • @qarashuaq
      @qarashuaq Год назад

      imo synthetic division is more convenient to use

  • @TamandanPalapandu
    @TamandanPalapandu Год назад

    Favorite teacher

  • @kodiererg
    @kodiererg 2 года назад

    Wow the book made no sense, but you came in and saved the day.

  • @joaquinvargas9702
    @joaquinvargas9702 7 лет назад +7

    You came through brother! Thanks!

    • @mtycoder
      @mtycoder 6 лет назад

      he was sick or something?

  • @jamjam3448
    @jamjam3448 2 года назад +1

    You're a good man

  • @danichang2700
    @danichang2700 4 года назад +3

    THANK YOU 💚👀✨ I didn't understand how to find Slant asymptote, but I'll understand
    I watched this video twice, and now I better understand how to find slant asymptote :з)

  • @parvirpanwar4573
    @parvirpanwar4573 4 года назад +1

    Thank you so much for all your amazing videos . Please keep making much more such good videos.... 😊😊

  • @joe.7295
    @joe.7295 Год назад

    Yes the videos from 2006 are really helping

  • @MaherMimo-t7u
    @MaherMimo-t7u 2 года назад

    Thanks a lot bro. Your videos helping so well 👍🏻

  • @mirzafarhan9932
    @mirzafarhan9932 3 года назад

    Broooo he made it look so easy

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    @KampambaEdwin 22 дня назад

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  • @jinnjinn5567
    @jinnjinn5567 2 года назад +2

    4:00 - isn't this just equivalent to x+2, a linear function with no asymptotes?

    • @9BallNoel
      @9BallNoel 2 года назад

      OMG! I thought I was the only one losing my mind over here. I'm *fairly* certain, this would be a line with a hole. This dude now has me scouring the internet in search of my sanity.

  • @yonathanabuhay197
    @yonathanabuhay197 Год назад

    thank you may God bless you more

  • @AceOfHearts001
    @AceOfHearts001 Год назад +1

    Really useful, thank you so much!

  • @noahmiller794
    @noahmiller794 2 года назад

    you have taught me more math in 6 minutes than my entire last semester of school

  • @The_jezeb3l
    @The_jezeb3l 3 года назад +1

    *Why do bad teachers get paid?:* tenure this is when school sign contracts with teacher pretty much guarantees them a job for life no matter what. That's why when you get a bad teacher most of the time they get away with it. Even if they are so bad and the school decides to fire them the school has to go through a complicated process that can last at least a year or longer. Chances of a teacher getting fired is 1 in 2000 compared to a doctor which is 1 in 57. The American public school system sucks. We need more teachers like this dude.

    • @The_jezeb3l
      @The_jezeb3l 3 года назад

      I recommend watching waiting for superman if any of you are interested on this topic. It's currently on Netflix. Or just look up the facts

  • @villanueva778
    @villanueva778 4 года назад +1

    I wish we learnED this!

  • @aneutralopinion1712
    @aneutralopinion1712 7 месяцев назад

    Organic chemistry teacher my beloved

  • @ikyrie
    @ikyrie 8 месяцев назад

    At the class you think it is rocket science , but after watching this video it’s nothing. Thanks for your videos 🙏🏼🤍

  • @hanifqureshi823
    @hanifqureshi823 4 года назад

    Very good explanation.

  • @SarwatSherazi
    @SarwatSherazi Год назад

    Amazing sir❤

  • @mickanton7285
    @mickanton7285 3 года назад

    come and teach our university professors please, they definitely need you

  • @Life_forms
    @Life_forms Год назад

    My appreciation sir❤

  • @xoreh1537
    @xoreh1537 3 года назад

    I really fucking love man, you have no idea how much help and hope you give people like me!

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    @emmanuelagwu6730 5 месяцев назад

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  • @coreyhaimeditz9597
    @coreyhaimeditz9597 5 лет назад +1

    You teach this way better than my math teacher😂

  • @keylajimenez4271
    @keylajimenez4271 3 года назад +1

    Bro you rock!Jesus bless you!

  • @fernandocevallos2389
    @fernandocevallos2389 2 года назад

    you deserve a cookie

  • @rafiulislamatanu147
    @rafiulislamatanu147 2 года назад

    Amazing explain...

  • @joseflores289
    @joseflores289 4 года назад

    The best right here for a fact

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    @fruitsofthewound8599 2 года назад

    i’m literally in love with you

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    @rohanmarde9303 4 года назад

    thank you very much for this video man.

  • @sonjahenderson1390
    @sonjahenderson1390 Год назад +2

    Im confused about if these rules ALWAYS apply. For instance take (5x + 1) / (x^2 - x - 1) and graph it in the graphing calculator. There appears to be a horizontal asymptote at y = 0. However there is a vertical like that strikes through y = 0 in between 2 other lines in the function. Does the horizontal asymptote still apply?? Do these set of rules apply no matter what? If anyone could help that would be wonderful!! Thank you

  • @beastzc7373
    @beastzc7373 5 лет назад

    Ur videos are so helpful

  • @bobu5213
    @bobu5213 2 года назад +2

    is there a way to rationally calculate these without knowing any tricks like "If the degree is the same devide the coefficients".
    I want to know how to look at a function and see in my head where the asymptotes would be

  • @unknownman1592
    @unknownman1592 4 года назад

    You are a legend

  • @cat-zp1rg
    @cat-zp1rg Год назад

    The third example at the end.. why is it bottom heavy? Wouldn't they both have a degree of 1? 10:05

  • @calisthenicsguy0518
    @calisthenicsguy0518 4 года назад +1

    Damn,U helped me alot bro

  • @barbarawrakonei7354
    @barbarawrakonei7354 2 года назад

    So helpful to me

  • @maxinem442
    @maxinem442 3 года назад

    Thank you so much good sir

  • @jamesforteza5142
    @jamesforteza5142 3 года назад

    Y=(x²-3x+4)/(x²-6x+8)
    Y=1 is the horizontal asymptote but when you graph it it is only applicable on the right side of the graph but when you extend the line y=1 to the left it will intersect the graph of the given rational equation.

  • @archangbriel
    @archangbriel 4 года назад +1

    thankyou so much huhuhu iwant to cry