Find the vertical and horizontal asymptotes

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  • Опубликовано: 5 сен 2024
  • 👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but never touches. To find the vertical asymptote(s) of a rational function, we set the denominator equal to 0 and solve for x.
    The horizontal asymptote is a horizontal line which the graph of the function approaches but never crosses (though they sometimes cross them). A rational function has a horizontal asymptote of y = 0 when the degree of the numerator is less than the degree of the denominator. A rational function has a horizontal asymptote of y = c, (where c is the quotient of the leading coefficient of the numerator and that of the denominator) when the degree of the numerator is equal to the degree of the denominator. A rational function has no horizontal asymptote if the degree of the numerator is greater than the degree of the denominator.
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    Organized Videos:
    ✅ Find the Asymptotes of Rational Functions
    • Find the Asymptotes of...
    ✅ Find the Vertical and Horizontal Asymptotes of a Rational Function y=0
    • Find the Vertical and ...
    ✅ Asymptotes of Rational Functions | Learn About
    • Asymptotes of Rational...
    ✅ Find the Asymptotes of a Rational Function with Trig
    • Find the Asymptotes of...
    ✅ Find the Asymptotes and Holes of a Rational Function
    • Find the Asymptotes an...
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    #asymptotes #functions #brianmclogan

Комментарии • 630

  • @brianmclogan
    @brianmclogan  6 месяцев назад +35

    My Five Step Method For Graphing a Rational Expression 5 Step Method - ruclips.net/video/N1B-cuxFVog/видео.html

  • @char_the_shark
    @char_the_shark 6 лет назад +1874

    Dude's out here almost eight years later still answering questions about this video. Major props! That's awesome. Thanks for the vid, really helped with my homework.

    • @brianmclogan
      @brianmclogan  6 лет назад +275

      you are very welcome Charlize. Happy to continue to be able to help!!

    • @bigredone1030
      @bigredone1030 5 лет назад +67

      He's one of the og's of math videos

    • @zackariaonyt
      @zackariaonyt 3 года назад +6

      *11 years now hh

    • @ahmoodk
      @ahmoodk 2 года назад +3

      @@zackariaonyt *actually 12 now hh

    • @andrewlong8746
      @andrewlong8746 2 года назад

      It’s 11 years now and still using this vid

  • @vennas475
    @vennas475 4 года назад +1620

    Dude's replying to comments from a day ago, what a legend

  • @brianmclogan
    @brianmclogan  11 лет назад +1171

    I'm just myself man, I was a struggling student myself so I know how you feel and I struggled making a lot of mistakes and not understanding much of what I was supposed to. I appreciate you watching and your feedback. Keep up the hard work

    • @debnarayandas5273
      @debnarayandas5273 4 года назад +8

      Love from India sir.

    • @lukelanders8919
      @lukelanders8919 3 года назад +5

      What a Chad

    • @cartoonfanatic9769
      @cartoonfanatic9769 3 года назад +1

      thank you sir!

    • @danielzuzovsky1321
      @danielzuzovsky1321 3 года назад +1

      @@rooneyk4474 a little late, but no. This is very much an algebra 2 subject, and will never be used in algebra 1. slope intercept and point slope are the only function types you will ever have to graph

    • @sreeg2831
      @sreeg2831 Год назад +1

      @@danielzuzovsky1321 Were doing this right now in algebra 1 lol

  • @Enalysis
    @Enalysis 9 месяцев назад +28

    Just wanted to say 10 years later you're still helping high school students like me out every day! I'm a senior finishing up my final year of High School, and your courses have really helped me a lot in terms of studying and learning the material! Thanks a bunch for all your videos, and I hope you're in good health!

  • @aminagdi3640
    @aminagdi3640 3 года назад +47

    I can't thank you enough, I've been struggling with this concept for ages now. Countless hours wasted in the classroom and then you managed to explain it in 4 minutes. Incredible! Thank you!

    • @wristocrat
      @wristocrat 2 года назад +5

      Those hours you put in were still helping you synthesize these concepts from the video. School is important. This channel is amazing though and is helping me re-learn all the stuff and retain it

  • @JuanRodriguez-fe1ss
    @JuanRodriguez-fe1ss 6 лет назад +477

    You are my favorite bald guy

  • @brianmclogan
    @brianmclogan  8 месяцев назад +13

    Graph a Rational Expression with 4 Vertical Asymptotes Four Vertical Asymptotes - ruclips.net/video/qE-iABPxOOU/видео.html

  • @th3rea1kiki27
    @th3rea1kiki27 Месяц назад +4

    Although this was 13 years ago it’s still helpful till this day. I didn’t understand how to solve problems like these with vertical and horizontal asymptotes, but watching this simple 3 minute video I have a way better understanding of the content then when I was reading about it. 📖

  • @brianmclogan
    @brianmclogan  13 лет назад +62

    Thank you calcgma, you are correct, I substracted the one on both sides so there for it would be a negative on the left side so when I take the root of both sides I would yield a negative one under the radicand. Thank you for letting me and others see the mistake. Good learning opportunity to watch your steps carefully!

  • @fregboy410
    @fregboy410 5 лет назад +197

    My college professor is less helpful in her entire class than this man is in a single video

  • @brianmclogan
    @brianmclogan  11 лет назад +39

    haha thanks, yes I absolutely do, missed a couple my first few years but I make a habit of it now. I love hearing from different students around the world. About 10 comments a day, not overwhelming

  • @ForeverOrange
    @ForeverOrange 2 года назад +2

    Just to let you know you’re still helping college students that work a busy day and have sports alongside school. Many thanks for fresh reminders.

  • @ba924
    @ba924 5 лет назад +186

    I have a precalc final tomorrow and I have to pass wish me luck dodes

    • @jamesmiles6709
      @jamesmiles6709 5 лет назад +4

      I have my precal final tomorrow and I also need to pass, rip

    • @ba924
      @ba924 5 лет назад +53

      I passed bros thanks for all the good comments. Next step is calculus

    • @darvynm541
      @darvynm541 5 лет назад +5

      BA Nice job bro

    • @nodice100
      @nodice100 5 лет назад +5

      @@ba924 Proud of you man :')

    • @louisseamistoso1643
      @louisseamistoso1643 5 лет назад +1

      I didn't know this is in precal

  • @brianmclogan
    @brianmclogan  11 лет назад +23

    it can be a difficult video to explain. I am really happy you found my explanation useful. I have a whole playlist on the topic if you need more examples.

  • @tylerkennedy7345
    @tylerkennedy7345 4 месяца назад +3

    today is my final for calc 1 in college and i never understood what my professor was saying when teaching us this. You have potentially saved my calc grade, so thank you.

  • @RobbeeKing
    @RobbeeKing 5 лет назад +18

    i learn more on RUclips from these maths professors than ill ever learn at school, keep it up

  • @brianmclogan
    @brianmclogan  11 лет назад +16

    I hope so too. : ) It really helps sometimes just hearing someone else explain things. Glad I was able to help

  • @karangeorgeoommen4506
    @karangeorgeoommen4506 3 года назад +15

    Appreciate the way you give a proper introduction to all your topics and also how you present them. It provides a real structure to what we learn!

  • @kzb3995
    @kzb3995 5 лет назад +56

    You just saved me from an extra hour of homework dude. Thanks

  • @ashleyz4888
    @ashleyz4888 6 лет назад +147

    If the degree is higher on top, it would mean that there is no horizontal asymptote but there would be a slant asymptote which you would solve by synthetic or long division

    • @brianmclogan
      @brianmclogan  6 лет назад +50

      long division is preferred

    • @Edd-zq5my
      @Edd-zq5my 4 года назад

      Thanks

    • @rosemartin8495
      @rosemartin8495 3 года назад

      @@brianmclogan Wouldn't the horizontal asymptote be infinity?

  • @dstudy5229
    @dstudy5229 4 года назад +1

    a good man who you can see has the passion to teach. thank you for all you do Mr. McLogan.

  • @ameliafuller9141
    @ameliafuller9141 Год назад +14

    thank you actually so much you have helped me throughout my whole college algebra experience. bc of you I got an A in the class lol

  • @TheSilverSouth
    @TheSilverSouth 10 лет назад +7

    You're a terrific teacher -- much, much, much better than my College Algebra professor. Thank you!

  • @albertmiranda6432
    @albertmiranda6432 2 года назад +3

    I am a 26 year old that was terrified and embarrassed to go back to school and try and get a better education. You're videos are helping everyday ! thank you !

    • @sapphicmoonrry
      @sapphicmoonrry Год назад

      that's so great!! good luck with your education

  • @Casstiel
    @Casstiel 3 года назад +9

    I just want to say you have been quite literally saving me in college precalc. Infinite thank yous! You're a real one, fr.

  • @randomyoutubevideos3503
    @randomyoutubevideos3503 4 года назад +1

    Exactly 9 years later and this guy is still helping me. Thanks for all of your videos.

  • @nate-404
    @nate-404 2 года назад +1

    Thank you for these video. I am going through college all over again after having graduated 8 years ago, so this video is heaven-sent for helping me re-learn everything again! THANK YOU!!!

  • @faiznaseer5279
    @faiznaseer5279 5 лет назад +41

    dang this guy better than all the math teachers i've had

  • @roda.6752
    @roda.6752 5 лет назад +7

    You teach it better than the textbook! Easy breakdown. Thanks!

  • @candicefree6986
    @candicefree6986 5 лет назад +1

    YOU ARE A LIFE SAVER! I have been working on this for a few days and I watch one video less than 4 mins and I breezed through the 6 homework problems and can finally move on!!!

    • @brianmclogan
      @brianmclogan  5 лет назад +1

      so happy to be able to help you out Candice!

  • @Kosmo_Z
    @Kosmo_Z 4 месяца назад +1

    Just doing some AP BC calc review from stuff that I did last year, and this is as concise as it gets! Thank you so much!

  • @a7med_om884
    @a7med_om884 3 месяца назад

    اردت شكرك بلغتي الام لكي تعلم ان الكثير من الطلاب استفادوا من مقاطع الفيديو شكرا لك❤

  • @brianmclogan
    @brianmclogan  12 лет назад +5

    I understand, There are a lot of great teachers on youtube to help you out. Take advantage of us

  • @wenatricia
    @wenatricia 5 лет назад +2

    This is the type of math I learned growing up. Your videos have helped my children learn math the proper way and not the confusing way they teach in schools now. THANK YOU SO VERY MUCH

  • @maathethird9345
    @maathethird9345 6 лет назад +21

    Definitely better than my prof. , thx for the explanation

    • @brianmclogan
      @brianmclogan  6 лет назад +5

      Appreciate it. Thanks

    • @maathethird9345
      @maathethird9345 6 лет назад +1

      Brian McLogan no for real , his hand writing is shit and doesnt know how to explain stuff , iam gonna be around your channel during this semester i think 😅 , thx again

  • @BruhDN
    @BruhDN 5 лет назад +2

    Hey Brian, thank you so much for you help. You are a great teacher, and since you are responding to messages so far back, it just proves you really care about educating the youth. You are doing a great job dude, keep it up.

  • @marky7615
    @marky7615 4 года назад +6

    10 years ago, and this guy is still doing it perfectly.

  • @abigailhills19565
    @abigailhills19565 Год назад +1

    You made so much more sense in 4 minutes than my professor has all semster😆Thank you!!

  • @LudicrousChris
    @LudicrousChris 3 года назад

    I hope you know just how many people you help with these videos. You have made such a great impact. Thank you

  • @loganpatterson9698
    @loganpatterson9698 3 года назад

    This male has saved me at least a hundred times a couple minutes before tests/exams. Absolute maniac

  • @muffyabadeer3025
    @muffyabadeer3025 4 года назад

    I have a sub teaching for a couple of months and she makes everything confusing. Thanks for this it SAVED ME

  • @MrFoggyG
    @MrFoggyG 6 лет назад +1

    Degree numerator < degree denominator (y=0) | Degree numerator = degree denominator (y=a/b of leading coefficients) | Degree numerator > degree denominator (no horizontal asymptote)

  • @dishantmalik5319
    @dishantmalik5319 3 года назад +1

    I m from India ...and sir thank u very much for solving my doubt ❤️❤️❤️

  • @brianmclogan
    @brianmclogan  11 лет назад +5

    Thanks man, I wish I was teaching Calculus this year. Hopefully next year

  • @zoneoutloners9543
    @zoneoutloners9543 4 года назад

    You are the best math teacher in the world please keep it up

  • @brianmclogan
    @brianmclogan  11 лет назад +8

    absolutely. In my pre-calculus class we do not stress limits, as most of my students are not moving on to calculus.

  • @romanenriquez4427
    @romanenriquez4427 4 года назад +1

    Thank you so much for making your videos, they are incredibly helpful and you explain concepts simply. My high school pre-calc teacher can never stay on task while teaching and I don't learn. I can't tell you how many times you have saved me, and I think I speak for everyone when I say I wish you were my teacher.

  • @goldeny2468
    @goldeny2468 3 года назад +1

    Helped me out a lot and now even more because I have to take online classes. Appreciate your work man!!

  • @Jenna33333
    @Jenna33333 4 года назад +3

    I couldn't even count how many times your videos have completely saved me. Thank You so much for the time and dedication you put into these videos!!

  • @cravennuge1596
    @cravennuge1596 3 года назад

    brian you have been more helpful than my HPC teacher will ever be, thank you for keeping my grade afloat

  • @hairybunnions8695
    @hairybunnions8695 10 месяцев назад +1

    Bro is legendary, taught me something no other teach ever could 💀

  • @nicholasweavil3981
    @nicholasweavil3981 5 лет назад +2

    Your videos have been such a great help, my precal teacher is absolutely terrible and your videos are the only thing keeping my grade in that class decent. Thank you

  • @shinefake48
    @shinefake48 5 месяцев назад

    Took a break after highschool, and now I’m taking calculus in college but I completely forgot how to find asymptotes, thank you so much, truly life saver😂

  • @fabianarodriguez.
    @fabianarodriguez. 11 месяцев назад

    I find it so amazing that I was 4 years old when this video was uploaded and it still is so helpful and your way of teaching is so concise. Thank you so much for saving meeee lol

  • @VLOGDOPJARDIM
    @VLOGDOPJARDIM 2 года назад +1

    Absolute legend, for some reason my math teachers never properly explained this to me, now I finally understand

  • @tofu3317
    @tofu3317 7 лет назад +222

    Assymptote

  • @captnebulace
    @captnebulace 4 года назад

    With this term being online due to covid, your videos have been a life saver. Thank you

  • @bookshelfjunkie
    @bookshelfjunkie 11 месяцев назад

    Still helping 12 years later THANK YOU!!

  • @brianmclogan
    @brianmclogan  11 лет назад +2

    you are welcome! happy to help

  • @malihazpage
    @malihazpage 10 лет назад +35

    This was extremely helpful!! Thank You. I wish you were my pre-calc teacher :/

  • @juanmiguel2288
    @juanmiguel2288 Год назад

    I owe my life to this man, hes gonna help me pass my final and i hope you have an amazing long life

  • @isaaclee4219
    @isaaclee4219 3 года назад +1

    Even now this still a life saver. I have my final review and my teacher never writes down notes. It ends up as an empty powerpoint.

  • @Tyonicle
    @Tyonicle 3 месяца назад

    You’re really helping me right now for my Pre-calc final, I can’t thank you enough 😊😊😊

  • @OmarAli-qt1in
    @OmarAli-qt1in 2 года назад

    much love from kurdistan, we appreciate your video`s, we have been watching you for five years in five diffrent grades, keep up Mr McLogan.

    • @zamandumed
      @zamandumed 2 года назад

      I know brother our kurdish teachers don't do these short lessons or videos about a topic
      They just upload a 40min video

  • @MrOh2specv
    @MrOh2specv 5 лет назад

    Lecture and ALEKS both couldn't help me understand this. Thank you for breaking this down and making it so easy! You rock!! I honestly can't thank you enough!

  • @ritajalrammahi
    @ritajalrammahi 3 года назад

    you just explained to me what my teacher and textbook couldn't explain, thank you!!!

  • @TheRealOtakuEdits
    @TheRealOtakuEdits 3 года назад +2

    1:00 Thank you for having patience with people like me.

  • @Sultan_A
    @Sultan_A 5 месяцев назад +1

    Very Good, Brian McLogan, Keep It Up!

  • @greekfire7980
    @greekfire7980 5 лет назад +1

    Crystal clear explanation. Simple. Great video. Thank you!

  • @angelusmare9063
    @angelusmare9063 3 года назад +3

    Awesome videos. I learned the lesson in 4 mins, no BS just straight to the point. Keep it up man!

  • @ambyrfreestone5206
    @ambyrfreestone5206 2 месяца назад

    13 years later, and im in precalc for college and you have taught me more than my entire semester.

  • @qwertyyuiop._.
    @qwertyyuiop._. 8 месяцев назад

    He makes it so simple and my teacher took a whole class day to explain (1:30 hrs and nobody understood--at least none of my friends)

  • @oliviabrodersen5809
    @oliviabrodersen5809 4 года назад +1

    This video saved my life during this pandemic! Thank you

  • @mcmd8215
    @mcmd8215 4 года назад

    Hey thanx for this vid..very very useful...teaches even better than our professor

  • @charliemusic1290
    @charliemusic1290 11 лет назад

    Hahah my teacher has been teaching this to us for three weeks now and NOBODY understands it. I just found this video and i completely understand how to find the asymptotes now. Thanks a lot man!

  • @T1ANA6150
    @T1ANA6150 4 года назад

    This helps me way more than my professor's notes and lectures combined. Thanks for the videos!

  • @lancestephenpalomarescatac2041
    @lancestephenpalomarescatac2041 3 года назад

    best online teacher got me through 7th grade through college

  • @aquablue7336
    @aquablue7336 2 года назад

    Your videos are amazing. I have a math exam tomorrow and you really saved me, thank you😁. I wish you were my teacher

  • @kyle.riley45
    @kyle.riley45 3 года назад

    this guy has taught literally every grade possible. i rememebr watching videos and it was like he had 10 year olds. now
    i’m a sophomore in high school and he’s still got these videos

  • @user-rb2ew1os2w
    @user-rb2ew1os2w Месяц назад

    i can't believe that a video posted when i was 8 years old is helping me pass my college course

  • @brianmclogan
    @brianmclogan  11 лет назад +1

    sweet! good luck on your test!

  • @brianmclogan
    @brianmclogan  11 лет назад +8

    when you have the same degree in the numerator and denominator then you divide the leading coefficients.

    • @aryanshah3354
      @aryanshah3354 Год назад

      what if the degree is greater in the denominator?

    • @romancrasto7505
      @romancrasto7505 11 месяцев назад

      then HA:Y=0 @@aryanshah3354

  • @lorenmengersen5971
    @lorenmengersen5971 3 года назад

    This video helped so much with my college precalc, thank you!!

  • @lenangjf
    @lenangjf 12 лет назад

    This tutorial is really simple to understand and helped me in my work and exams as I've forgotten how to find asymptotes (: thanks MrMcLogan!

  • @sakshamsharma3543
    @sakshamsharma3543 7 месяцев назад

    Thank you sir . Because of you i understood it very well . May God bless you.

  • @gammatriscellian
    @gammatriscellian 9 месяцев назад

    Was really struggling with my engineering maths but this helped me a lot, thank you very much

  • @_Everlast
    @_Everlast 4 года назад

    Thanks, Mr. Logan! You are currently helping me pass Calc! :)

  • @iamend2609
    @iamend2609 6 лет назад +1

    Very helpful and simple to understand, thank you!

  • @brianmclogan
    @brianmclogan  11 лет назад +1

    Absolutely I will be happy to help you further. Could you give me a question more specifically where I lost you or what you would like for me to expand on?

  • @bradenr867
    @bradenr867 7 месяцев назад

    THANK YOU SO MUCH!!!! Every other channel has really simple example that’s hard to apply to anything other than their examples

  • @obgo1877
    @obgo1877 4 месяца назад +1

    How come the rest of the numbers in the equation disappear when finding the horizontal asymptotes?

  • @brianmclogan
    @brianmclogan  11 лет назад

    your very welcome!

  • @periclesgadri3352
    @periclesgadri3352 3 года назад

    @brian thank you so much. This thing just made sense in 3 minutes when a whole semester couldn't make me understand it. My professors made it so complex that it was impossible to understand what was going on.

  • @hidebyb
    @hidebyb 3 года назад +1

    Thank you so much for these, you're helping me so much through online classes :)

  • @markf2089
    @markf2089 2 года назад +1

    my teacher is teaching us this for 2 hours and i learn it here for 3 minutes...

  • @brandnew91495
    @brandnew91495 12 лет назад

    thank you so much!! i've been using all of your videos to help me study for my final tomorrow and you're a huge help! thanks again

  • @brianmclogan
    @brianmclogan  11 лет назад

    yes they are all ordered in my playlists

  • @brianmclogan
    @brianmclogan  11 лет назад

    awesome, let me know how else I can help!

  • @adhdpanda4763
    @adhdpanda4763 3 года назад

    Thank you for the quick lesson!