Shortcut to Find Horizontal Asymptotes of Rational Functions

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Shortcut to Find Horizontal Asymptotes of Rational Functions.
In this video, I point out a couple of tricks that make finding horizontal asymptotes of rational functions very easy to do!

Category:

Education

Tags:

• math
• algebra
• rational
• function
• horizontal
• asymptote

[ThatPeenoAlvin]

I think my teacher is amazing and is very intellectual when it comes to math. He made me love math but you patrick make me realize just how easy math can be!

I always overthink in class and feel that I'm doing everything wrong. You're here to re-assure me :)

[patrickJMT]

@ThatPeenoAlvin sounds like you have a good teacher! glad i can help a bit as well :)

[andreasmagil]

thanks so much for the example. This is my first year teaching pre-calculus, I'm at a new school, and unfortunately my students have a lot of holes in their algebra 2 understanding. This video helped me out a lot. I knew that there had to be a shortcut...now i'm going to see if you have slant asymptote video:)

[patrickJMT]

@andreasmagil there are slant / oblique asymptote videos. and yes: the reason i saw people have problems with calculus, pre-cal, stats, etc was usually due to algebra stuff, 95% of the time.

explain the shortcut, but explain intuitively why it works! i used to talk about limits a little bit here, if the book i was using for pre-cal did not mention them yet.

[11panama11]

Please switch jobs with my teacher.

[patrickJMT]

@11panama11 then people would say: patrick sucks, that guy is so boring and lame. :)

[Uberman231]

I am depending on you now. My final is at stake here.

[hapaxjalapenox]

You just taught me in 4 minutes how to do what my stupid teacher took 90 minutes FAILING to explain. I love you.

[bethcrackle]

this might sound like a stupid question, but do all asymptotes only occur with equations that are fractions? so for example, 2x+4 wouldn't have any asymptotes, but 2x+4/3x+8 would?

[diamondpinata]

Can you do my final exam for me? :)

[DJCrossfireDJ]

i have a quick question about horizontal asymptotes. if the degree of the denominator is larger than the degree of the numerator then y=0 is the horizontal asymptote. I graphed that example y=(x-1)/(x^3-5). And one of the curves, intersects the line y=0. i thought they're not supposed to cross the asymptote. Can someone please explain to me about this?

It would be helpfull if anyone can reply fast, i have an assignment on rational functions due on tuesday the 6th march.

Thanks.

[harryaung7]

How would you expand the shortcut form to justify the answer using limits? I am taking my first calculus class in college and it is required that limits be used to find the vertical and horizontal asymptotes of various functions.

[doglover922]

Thank you so much! I spent so long trying to understand from my book and notes, and much more time than that previously and now i understand it completely after watching your video!