Finding Asymptotes and Holes of Rational Functions (Precalculus - College Algebra 43)

How to find all asymptotes and holes of a rational function with focus on preparation to graph rational functions.

[adamt]

I come from your calculus 3 videos and just wanted to say you are an amazing professor. I don’t know where I would be with out you. Thank you so much for doing a fantastic job at teaching. Your videos you produced back in 2016 are still relevant in 2020 and make a difference in many lives. You are better than any other math professor I have ever had in my life. You make the subject easy to understand and enjoyable. Again thank you so much for what you are doing you have changed my life and many others. Keep up the amazing work hope to use your videos for the rest of the classes I have to take.

[nehaljhirmaria]

I watch all the ads! So I can play my part to appreciate you

[hunterbranch]

Love this man, calc videos saved my life so I always like any new video now.

[AdnanKhan-mmbo]

Loveliest teacher on the Earth..❤
Always thankful for Calculus..!!

[dtour]

I remember this a silly way.
If you take the factory out of town, there will be a hole left behind
But
If you can’t take the factory out, the way the town shrinks or grows is determined by the mean owner, the ASSymptote .

[ebog]

A truly wonderful hunk of math professor you are

[madebyyuzz]

the only teacher that makes me excited to learn math.

Thanks! You’ve kept the same patient tone during all these videos 💯.

[relytful]

Haven't been to school in 5 years. Due to have decided to go back to school. On a whim, I started a class on the 31st(Calc II) two days after I decided to do so. I am now on video 43 of 115 of this precalc playlist.

It has helped a lot to refresh. First assignment due soon. Time to buckle up.

[georgesadler]

Professor Leonard, thank you for another power selection and explanation on finding asymptotes and holes of rational function. These videos prepare students for graphing all types of functions in Calculus.

[hotyeahsus]

I haven’t gotten into uni yet but I already feel this man is going to be a lifesaver

[jimjim]

He is excellent. I wish I had him as my college professor 40 years ago

[stircrazygenius]

You are really BEAUTIFUL Teacher keep it up

[ProfChaoss]

Keep kicking butt Professor Leonard!!!

[bellringer]

Thank you so much! this helped get a A on my exam!

[guidofeliz]

Wow! Almost one or two videos per day. I'm impressed.

[somebody]

Everything here makes sense! Can't thank you enough.

[vaughnmonkey]

Professor Leonard Your videos are the only reason I haven't failed out, thank you so much for all that you do. Is there any chance of you continuing the Differential Equations Series?

[slr]

36:37 If you long dive all the way through, you can tell whether the function is above or below the asymptote at the infinities.

[meat]

Hi, do you have any videos on graphing these kinds of functions but with roots? I'm not having any luck finding goood material on that anywhere and if you explained that, I'd be able to understand it! Thanks! Keep up the great videos! :)