Graphing Rational Functions and Their Asymptotes

You might think we are all set with graphs, but you're wrong! We will learn about many other types of functions as well as how to graph them. First up is rational functions, which are quotients of polynomials. How can we graph these? We have to find their asymptotes. What's that? Sounds sexy. Well, it is, kind of.

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!

[Nram]

Bro why do teachers not teach like this. It actually pisses me off why they don’t teach so well and simple with patience. I’ve learned more in 7 minutes than my teacher did in a week

[rinofrancisxavier]

a video with 7.24 duration taught me better than 2 hours of pre-recorded lecture by a lecturer

[tambuwalmathsclass]

3:51 Great👍
There could be an asymptote if m>n by just 1. That's slanted asymptote

[jeremyfowler]

This was my first time watching one of your videos, and the into alone made me smile.

[omarifarrow]

Thank you! I am currently using Aleks for my Precalculus course and the instructions and explanations were very unclear but this video answered every question I had.

[geolescano]

Correction sir on 3:49 you thought that when n > m then y = 0? and when m > n then y = NHA?

But according to the books and some references it is not. The correct is:

If n > m, then y = 0
If n < m or m > n then y = No Horizontal Asymptote..

[starangel]

*just the word thank you cant express my feelings and i cant seem to express in words just how much your lessons means to me*

[marufhossain]

Thank you so much for this tutorial. I am learning things I've never known before because I realize that there are so many things in life that I don't know about. The truth is, I'm learning Further Maths due to having some interest in mathematics and I wanted to know my true capabilities by learning things beyond what I'm supposed to cover because I'm only in year 9. I've done the same thing in some Oxford university maths lectures. I want to finish watching the ones on complex numbers and dynamics.

[justsomesaltyboi]

Im sick with covid and missing this portion of the class where my professor did not extend the time for homework for me to rest. Once more, she told me to reach out to tutoring to teach me this stuff when it is due tuesday and they are only open on the monday. You are a lifesaver, thank you so much! This video has cut through brain-fog more effectively than the textbook and exercises posed by my college algebra class.

[festuslubinga]

Your lessons have helped me so much thanks once again

[plm.agsikapin]

on 4:18, it should be n<m so y=0 because the denominator’s degree is greater than that of the numerator

[HDrea]

I remember "Our asymptotic love story" :'<

[jmarvinarnigow]

N>m is y=0, but the other teach as n<m, y=0

[Hadeeth_]

I always get so excited watching his videos that I even start dancing when the iconic into starts
😂

[lio]

Thanks man, I have an exam tomorrow and this really helped out

[lushgreendesert]

Amazing ! Wonderful ! You cleared so many things in so efficiently!

[ЖанарТемирбекова-сх]

Why is he talking like he's at a gunpoint?

[HellooDae]

I have been watching this series since December. Now I can solve math equations I never thought I was ever able to even comprehend. I am forever grateful

[timber]

The solving of horizontal asymptote is wrong

In the video its shown
N>m means y=0
When in reality it means theres no horizontal asymptote

[s.m.h.m]

I'm watching many of your series. Fantastic teaching. I Always stop your videos at any important hint and look for it on other videos or search google bard etc to complete my tutorial. Thank you