Find the Horizontal and Vertical Asymptotes of a rational function

👉 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

[brianmclogan]

I know I think I actually finished this video off the camera.  I have a couple of more examples for you in my playlists if you need more.

[Angel_Fontalvo]

So I felt asleep when my professor was giving this lesson, but thanks to you, I got it and got an A on my exam. Thank you good sir.

[brianmclogan]

Make sure you know that unit circle inside and out. It will really benefit you later in the chapter. I have a lot of trig videos so I hope you enjoy!

[jrazz]

Still watching this 10+ years later for my pre clac class. very helpful thank you!

[brianmclogan]

your very very welcome, happy to help

[jsamavati]

THANK YOU MAN!! GOD BLESS YOU FOR YOUR PERFECT ENGLISH

[brianmclogan]

woah, Thank you for your honesty. This video was shot in real time so I apologize if I was acting a little dazed. Have you seen my videos I made this year? They should be much better than this one. I can post them in the comments but you can search my channel for my most recent. I swear my explanations are better. Let me know if I can clear up any confusion with you

[thiswomps]

Thanks for this.
AP Calc teacher keeps throwing questions at me assuming I remember how to do stuff like this.
Now to find Slant asymptotes, Critical points, Points of infliction, concavity, extrema, intercepts -- *sigh*

[JBbearAdventuresInc]

thankyou so much for putting all of these amazing math videos up i dont know how i would get through flvs precal without them!!!

[brianmclogan]

thank you very much for this comment. I really appreciate your words. I hope my consistent uploading will not bother you too much. I am just trying to upload as much math content as I can to help students like yourself. Let me know how else I can help you with your math

[Zerostriker]

Love these videoes, helped me more than once with studying for my exam, thanks a bunch.

[brianmclogan]

no problem, thanks for watching, let me know how else I can help!

[brianmclogan]

@PanicItsJon they have a microphone in the speaker that they call in, i just talk out load and they can hear me

[brianmclogan]

no recommended but I post these videos for that reason alone, if you miss class you have some where to go

[brianmclogan]

I said it but did not write in on the board, my apologizes! I will make sure I include an annotation. Thank you so much for looking out for me!

[khaled]

thank you so much for posting these extremely helpful videos, ,

[brianmclogan]

I know bad choice right, I this was a video shot earlier in my video making career. I think also the video was not in HD which makes it hard to show. I shoot all my video real time. What you see is all natural just like I was there with you. The PA really bugs me though!

[marshmallow]

i bet i skip all my classes except for test days, learn by watch your videos, and do better than i am doing now.

[deeeelove]

thanks so much, reviewing for calc ab!!!

[PanicItsJon]

@MrBrianMcLogan how do you talk to them through the PA system?