Find the vertical and horizontal asymptotes
👉 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...
✅ Find the Slant Asymptotes of the Rational Function
• Find the Slant Asympto...
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Пікірлер: 625
My Five Step Method For Graphing a Rational Expression 5 Step Method - kzread.info/dash/bejne/gGV2j8WuqKm8n8o.html
@erichbarrios9145
3 ай бұрын
Thanks for putting it in Spanish 🫶🏻
@wickedweyandfroends6915
Ай бұрын
I love you 💕
Dude's replying to comments from a day ago, what a legend
@starvin9117
3 жыл бұрын
He really liked it
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
4 жыл бұрын
Love from India sir.
@lukelanders8919
3 жыл бұрын
What a Chad
@cartoonfanatic9769
3 жыл бұрын
thank you sir!
@danielzuzovsky1321
3 жыл бұрын
@@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
Жыл бұрын
@@danielzuzovsky1321 Were doing this right now in algebra 1 lol
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
5 жыл бұрын
you are very welcome Charlize. Happy to continue to be able to help!!
@bigredone1030
5 жыл бұрын
He's one of the og's of math videos
@zackariaonyt
3 жыл бұрын
*11 years now hh
@ahmoodk
2 жыл бұрын
@@zackariaonyt *actually 12 now hh
@andrewlong8746
Жыл бұрын
It’s 11 years now and still using this vid
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!
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!
You are my favorite bald guy
@brianmclogan
6 жыл бұрын
haha
@swaroopdhungana3536
5 жыл бұрын
Jonny sins?
@obl.aep_
4 жыл бұрын
NotOrious LMFAO
@thekidhaku4910
4 жыл бұрын
@@swaroopdhungana3536 Tf? Lol
@willm3027
4 жыл бұрын
Lol rude
I hope so too. : ) It really helps sometimes just hearing someone else explain things. Glad I was able to help
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
Graph a Rational Expression with 4 Vertical Asymptotes Four Vertical Asymptotes - kzread.info/dash/bejne/o3lhy6N7gNu1f7g.html
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.
My college professor is less helpful in her entire class than this man is in a single video
@periclesgadri3352
3 жыл бұрын
^^^^^^^^ say that again
Thanks man, I wish I was teaching Calculus this year. Hopefully next year
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?
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
Жыл бұрын
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
I understand, There are a lot of great teachers on youtube to help you out. Take advantage of us
i learn more on KZread from these maths professors than ill ever learn at school, keep it up
I have a precalc final tomorrow and I have to pass wish me luck dodes
@jamesmiles6709
5 жыл бұрын
I have my precal final tomorrow and I also need to pass, rip
@ba924
5 жыл бұрын
I passed bros thanks for all the good comments. Next step is calculus
@darvynm541
5 жыл бұрын
BA Nice job bro
@nodice100
5 жыл бұрын
@@ba924 Proud of you man :')
@louisseamistoso1643
5 жыл бұрын
I didn't know this is in precal
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
5 жыл бұрын
long division is preferred
@Edd-zq5my
4 жыл бұрын
Thanks
@rosemartin8495
3 жыл бұрын
@@brianmclogan Wouldn't the horizontal asymptote be infinity?
I just want to say you have been quite literally saving me in college precalc. Infinite thank yous! You're a real one, fr.
You just saved me from an extra hour of homework dude. Thanks
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!
You're a terrific teacher -- much, much, much better than my College Algebra professor. Thank you!
dang this guy better than all the math teachers i've had
absolutely. In my pre-calculus class we do not stress limits, as most of my students are not moving on to calculus.
what minute mark are you referring too?
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.
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.
You teach it better than the textbook! Easy breakdown. Thanks!
you are welcome! happy to help
your welcome glad I could help!
Assymptote
@brianmclogan
7 жыл бұрын
thank you
@Anna-yp3bb
5 жыл бұрын
aSymptote😂
@atikshsingh1598
4 жыл бұрын
no cursing in Mr. McLogan's class
sweet! good luck on your test!
Exactly 9 years later and this guy is still helping me. Thanks for all of your videos.
awesome that is great! I am so glad I can help!
thanks for watching!
a good man who you can see has the passion to teach. thank you for all you do Mr. McLogan.
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
Awesome videos. I learned the lesson in 4 mins, no BS just straight to the point. Keep it up man!
I hope you know just how many people you help with these videos. You have made such a great impact. Thank you
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.
This helps me way more than my professor's notes and lectures combined. Thanks for the videos!
Crystal clear explanation. Simple. Great video. Thank you!
glad I could help you out, let me know how you did
awesome, let me know how else I can help!
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.
@brianmclogan
2 ай бұрын
You are very welcome!!
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!
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
@brianmclogan
Жыл бұрын
You are very welcome!!
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!!!
you are very welcome!
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!!
your very welcome, let me know how else I may help you
happy to help!
brian you have been more helpful than my HPC teacher will ever be, thank you for keeping my grade afloat
i can't believe that a video posted when i was 8 years old is helping me pass my college course
awesome! thanks bud I appreciate it. Really do, let me know how I can help you out anytime
Helped me out a lot and now even more because I have to take online classes. Appreciate your work man!!
Thanks for your help! Your videos are very well done, I appreciate the detailed explanation on how you achieve the solution.
Bro is legendary, taught me something no other teach ever could 💀
your very welcome. I have a lot of practice. Keep working at it. It will all make sense eventually
your very welcome!
This male has saved me at least a hundred times a couple minutes before tests/exams. Absolute maniac
With this term being online due to covid, your videos have been a life saver. Thank you
Hi, I loved the questions and clear thorough explanation on the whiteboard. I have an end of year assessment for IB AA tomorrow, and it really helped me understand, especially for Q12!
You’re really helping me right now for my Pre-calc final, I can’t thank you enough 😊😊😊
You made so much more sense in 4 minutes than my professor has all semster😆Thank you!!
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
Thank you so much for these, you're helping me so much through online classes :)
اردت شكرك بلغتي الام لكي تعلم ان الكثير من الطلاب استفادوا من مقاطع الفيديو شكرا لك❤
I owe my life to this man, hes gonna help me pass my final and i hope you have an amazing long life
Very Good, Brian McLogan, Keep It Up!
you just explained to me what my teacher and textbook couldn't explain, thank you!!!
I have a sub teaching for a couple of months and she makes everything confusing. Thanks for this it SAVED ME
Taking some college algebra right now, and you help clear a few things up. Love the videos for practice and more understanding. Added you on Facebook and subscribed on KZread! Thanks Bro!
10 years ago, and this guy is still doing it perfectly.
13 years later, and im in precalc for college and you have taught me more than my entire semester.
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!
@nerikacutie283
5 жыл бұрын
lol im doin dat too
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
Жыл бұрын
that's so great!! good luck with your education
Absolute legend, for some reason my math teachers never properly explained this to me, now I finally understand
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
5 жыл бұрын
so happy to be able to help you out Candice!
Thanks for the clear explanations and examples! And thanks for actually having subtitles with the video, too!! :D
@brianmclogan
6 жыл бұрын
Absolutely! happy to help, wish I could include more
Still helping 12 years later THANK YOU!!
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!
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
This was extremely helpful!! Thank You. I wish you were my pre-calc teacher :/
Definitely better than my prof. , thx for the explanation
@brianmclogan
5 жыл бұрын
Appreciate it. Thanks
@maathethird9345
5 жыл бұрын
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
Was really struggling with my engineering maths but this helped me a lot, thank you very much
I finally get it! I will be probably coming back here while revising. Thanks a lot!
Thank you for the quick lesson!
THANK YOU SO MUCH!!!! Every other channel has really simple example that’s hard to apply to anything other than their examples
not sure if relivant. but, how do you find the crossover point of the horizontal asymptote if the numerator doesnt have a variable? using your 1st equation as an example.
This video helped so much with my college precalc, thank you!!
bro thank u, I dont know what I would do without ur channel
yes they are all ordered in my playlists
This video saved my life during this pandemic! Thank you
@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.
Thank you for this video! I have a midterm coming up and this video helped me so much!
thanks!
1:00 Thank you for having patience with people like me.
What a wonderful method 💗. It was a great help. Thank you 🙏