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.

Organized Videos:
✅ Find the Asymptotes of Rational Functions
✅ Find the Vertical and Horizontal Asymptotes of a Rational Function y=0
✅ Asymptotes of Rational Functions | Learn About
✅ Find the Asymptotes of a Rational Function with Trig
✅ Find the Asymptotes and Holes of a Rational Function
✅ Find the Slant Asymptotes of the Rational Function

Connect with me:

#asymptotes #functions #brianmclogan

[vennas]

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

[brianmclogan]

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

[char_the_shark]

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.

[Enalysis]

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!

[brianmclogan]

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?

[fregboy]

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

[brianmclogan]

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.

[aminagdi]

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!

[brianmclogan]

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!

[ba]

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

[BruhDN]

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.

[TheSilverSouth]

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

[ashleyz]

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

[karangeorgeoommen]

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!

[brianmclogan]

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]

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.

[randomyoutubevideos]

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

[kzb]

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

[RobbeeKing]

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

[dstudy]

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