How to graph a rational function using 6 steps

[@brianmclogan]

Easy Medium Hard Holes or Asymptotes - kzbin.info/www/bejne/fGe7anxqhLh_ibs

[@SirPdog]

Knew he was gonna be a fire math teacher when I saw his bald head

[@owenkidd1711]

He cant even pronounce asymptote correctly but ok

[@bajuliiee2508]

@@owenkidd1711 didn't think it matters but ok

[@jackwilson4324]

@@owenkidd1711 Oh Aye, because teaching Maths is about pronouncing words correctly, He's not an English Teacher, He's a Maths Teacher

[@29957fred]

Owen Kidd fuck off

[@lennoxy3375]

@@29957fred i miss u

[@lozanohub8028]

watching this a day before the test because my teacher ended up making it more confusing so this actually helped a lot

[@zachcrosco3295]

Watching this 10 minuites before because I missed the lesson and she won’t help in a test

[@DelScully]

my teacher wants us sketching one just by giving us the zeroes, V.A, H.A, and restrictions like x

[@8BitGamerYT1]

@@DelScully can u give the question ?

[@bl0cked797]

same

[@gamers1955]

how did you do on the test? if you can even remember from 3 years ago lmao😂

[@boxofcereal]

I usually don't go out of my way to leave comments on math videos but the way you explain things is so clear and understandable I genuinely learn the information. Thank you for making this, you've helped me with tests on multiple occasions.

[@brianmclogan]

So awesome and happy to hear from you, thanks for sharonf

[@leeburch2849]

Brian, you've taught me more than my teacher

[@brianmclogan]

happy to be there for you

[@gellysvision]

i thought that kids head was a microphone... he turns around and suddenly my third eye opened

[@MondoBattlefield]

Lol same

[@daisyg509]

Lmaoooo

[@nathanmurray2891]

Thx for making me laugh in all this stress 🤣

[@balbinanasiff5412]

OMG I've never laughed so hard!

[@hirdaybindra6507]

🤣🤣

[@user-jh2xy9hy1f]

would be failing math without you, god bless your soul

[@wescanada6]

Facts

[@BOSS-nz2hw]

Legit

[@chaimclaughlin2431]

I’ve been watching you since I was in middle/high school! Now I’m in my 2nd/3rd year of college and I still be watching you! Thank you for everything!

[@hannaarispe1856]

When online schooling has started there’s just a new subject you have no idea how to do and now your confused and watching this video

[@dailydoseofus4921]

exactly

[@rodgerrodriguez3621]

same. My teacher had 45 minutes to teach us but this man is a savior and does it in 11 minutes.

[@lemerovingien6116]

@@rodgerrodriguez3621 without the students’ question I think he did it in like 7min xd

[@gabbyoverstreet9067]

I have a math test in the morning and I had no clue how to do this and you just saved me from failing this test. You sound like such a good teacher keep doing what your doing.

[@cooldude3380]

Thank you so much. Got a test tomorrow on functions. I'm binge watching like 6-7 of your videos and understanding everything

[@rocheellee]

Zayn Malik Legend, oml i’m watching these vids to understand my study guide for tmr because i have a test and then i see your pfp, broo i stan zayn (and the boys too) so cool seeing someone like you here!! :D

[@cooldude3380]

@@rocheellee hahaha wasn't expecting to see someone like u either

[@pathsarye2402]

This is me right now also looking over some videos just to cover some stuff for my exam today

[@NoBrakes]

what did u get on the test?

[@cooldude3380]

@@NoBrakes haha don't remember it was 3 years ago... but pretty sure I got good because I know functions pretty well today

[@dodo-sr8jp]

i keep getting distracted whenever he says, "asymptopes" lol

[@mikeb6923]

I thought I was the only one, hahahaha.

[@gisakazefredson2146]

Asymptopes is a line that continually approaches a given curve but does not meet it at any finite distance

[@jordanhs6313]

@@gisakazefredson2146 *asymptotes*

[@SolidSiren]

Yea why is he saying that?

[@SolidSiren]

@@gisakazefredson2146 *AsympTOTE*

[@blackflash4795]

Omg your students are so lucky. Hearing you explain like this made me cry off how good i could be in math but i dont have my chance😭😭😭

[@brianmclogan]

you do, keep working hard, happy to be able to help

[@simonge3042]

You should go and get some proper maths books.... Start from the most basic AOPS ones.

[@samuelalves905]

My math teacher just assigns us text book homework and tests on it the next class with 0 teaching what so ever, not only that but she doesn't even go over the homework. Theres no point in even trying until I found your videos, thank you so much.

[@brianmclogan]

you are very welcome!

[@mikhailquashie9899]

You are a complete lifesaver Brian. As I continue for my Freshman year in Spring 2024, I’ll be watching your videos to prepare for college algebra, trig and calculus. Whatever is there, I will be watching! Thank you!!!

[@JolianaMaged-g8o]

Iam from egypt , i have studied in school which have teached me all my subjects in english , so i can understand you my best teacher really you are the greatest teacher i have ever seen in mathematics ,thanks my teacher for every thing you learns me

[@alicia7121]

Really can not thank you enough for this lesson, ​Brian.

[@brianmclogan]

Happy to help Alicia

[@Wandji18]

You’re such a great teacher. I decided to go back to school and I have to relearn all of this and omg!!! You have made it such a smooth process. Please don’t stop making videos!!

[@we3630]

My professor could never , thank you so much

[@harveyspecter4430]

I can't stress by the amount of help you've given me. You're nothing but brilliant sir! You turned a B student into an A student. Thank you!

[@brianmclogan]

great Job!!!!

[@itshannah4433]

I've been learning this for a month, and we have test tomorrow n I still don't know how to do it. My teacher puts no effort into making sure his students retain the information and I haven't been able to find any other videos that help. So thank you, I actually kinda understand now thanks to you

[@packosand3287]

its such a great experience when your teacher explains that you have to multiply its reciprocal rather than just instantly answering everything

[@andreadersom3399]

I'm currently filling out a notecard for my exam tomorrow and had no reliable notes to look back on from my lectures because of my professor's confusing teaching style. i love how you made this complex concept seem so easy. I wish i watched this a few weeks ago! Would've kept me from getting behind and lost in my summer course. But regardless, I am grateful to have come across this video.

[@BlessingMubure-cl2us]

Very infomative and straight to the point ❤ Thank you .

[@sennathaynara]

Brian, youve taught me so much, did all my homeworks and studied for my finals using your lectures. Thank you so much !!!

[@henrykyle6828]

9 years later and your vids are still coming in clutch 🙏🏼

[@kylededios3556]

The example you discussed, is the homework my teacher gave. You're a life saver

[@kingkags3604]

I binge watched your vids yesterday and practiced as much as I could. I’m having my math exams later; I’m scared, but I’m feeling more confident thanks to your videos. Bless you, sir.

[@xsupervegetax6181]

Bit late but how did you do?

[@thefantasymonarch5066]

@@xsupervegetax6181 im also curious

[@IrenJahan-ru5tx]

How did it went cause it's same for me?

[@thecyberphoenix4265]

@@xsupervegetax6181 just a bit XD

[@gavindenny651]

Who else has a math test about this tomorrow

[@mkmathstutorials6645]

It was always confusing for me why a function sometimes cuts the horizontal asymptote. You explained in simple terms that its just because a horizontal asymptote does not restrict the domain. That on its own has just helped me alot to sketch any rational function. I appreciate this video.

[@kaddanki096]

You are such a great teacher. As a 9th grader taking precalc in a few weeks, your students were lucky to have you. Thank you for these vids

[@fiona_axolotl_imnida]

this video is from 7 years ago, and still helps me survive general mathematics. Thank youuu!

[@Drewski777]

I am a 23 year old taking pre-calculus and I'm scared. I'm a major procrastinator which is terrible. I know I should not be that way. I will fix it. But Brian, you are helping me, and you helped my younger sister with her high-school math when I was her tutor and I knew all of my math pretty well up until pre-calc. Thank you so much Brian

[@M.J44]

I'm using this video and a few others of yours to help me understand what I need to for my midterm today. Thank you!

[@tanmay7724]

i want a math teacher like this ,my teacher thinks he is the smartest person alive and if i ask him question he makes me feel i m the most stupid person alive

[@jackli4593]

TY so much!, helped me a lot in my pre calc class

[@brianmclogan]

awesome, glad to be able to help

[@jgarrison1309]

A nice big point 3:03 Explain here that it is possible to cross a horizontal asymptote in some places on the graph. It serves as a do not cross boundary line in most cases, but not all, as we shall soon see. Do that immediately, as the point is hitting the graph.

[@hotman718]

yes horizontal asymptote never restricts the range, it only serves as a point where you can they approach and converge. the graph however will approach but never touch the horizontal asymptote

[@hotman718]

Coming into this video I already learned all this stuff, but I watched the whole video because I was fascinated by how simply you taught this. Great video. A good refresher too.

[@ThomasTDVGames]

My math teacher is sending us your videos since we are doing online school due to COVID. They're awesome!

[@donovan30]

The first 20 seconds helped me more than the past 2 months

[@amelialeaman1557]

you are a maths wizz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! love from the UK ps. My aunty really fancies you

[@JackOlantern36]

You teach alot better then a lot of my teachers. Usually we just get assigned homework and try and learn it then. You actually teach them in class. Keep it up 👍

[@donutsquad527]

All of my math teachers are boopid and are suddenly making us "learn" by working in small groups. It honestly doesn't work since we don't actually learn. Thank gosh I have this guy who actually teaches

[@dangerkitten1705]

Just wanted to thank you for always being there to help me understand topics I have a hard time with! I'm in college and have taken each of my math classes 3 times before I've passed. So thankful this is my last class but grateful that you've helped me always!

[@danegroves4056]

No one : That kid: ThAT’s WrOnG! tHaT’S tOTaLlY wRoNG! @ 10:29

[@BoneleSSWangs03]

Brian needs to bop that kid one

[@ComperZ]

I’m dead

[@danibarrios4479]

Straight forward and to the point. Thanks brian

[@aliciadelarosa2949]

Thank you for this math lesson. I'm taking College algebra and with the Covid virus we are now online .I dont understand very well until I found you. Thank you. I may have a chance .

[@kalkidanmitiku4453]

you are the best maths teacher I've ever seen. you have helped me alot. thank you

[@bryancambray1769]

Thank you so much. I am in math 1050 and I've been having the hardest time understanding my professor. I've been watching all your videos and they have been saving my life.

[@FunFactopias-Facts]

THANKYOU SO MUCH! THIS SAVED MY GRADE!!!

[@jadynpetty7534]

Thank you so much! This will help me so much with online College Algebra. So happy to find a place where a teacher can actually explain how to solve problems.

[@brianmclogan]

happy to be there for you Jadyn!

[@nyarunde990]

Thank you so much, im trying to cram this info for a quiz tomorrow and my teacher was away for a week on a skiiing trip so we had to teach ourselves :P I actually understand this now

[@Dark_academia_]

I was absent for so many days and my teacher is not giving me extra time for the test tomorrow, thank you so so much for making everything so clear and easy!

[@dakota7942]

You are a gentleman and a scholar and I don't think I would survive math without your videos

[@charliesimons4596]

those kids are quite rude Brian, you're a very tolerant teacher.

[@zeRosaab]

Amazing video man. You explained this much better than my engineering math teacher did.

[@brianmclogan]

Happy to help Hamzah

[@v4verbatim]

I understand this so much better now. You covered what my teacher took several ninety-minute class periods to teach. I just wished you included how to find a slant asymptote, though

[@kevinescamilla588]

Brian thank you youv been a help all threw out high school I cannot count the amount of time where I was confused and you helped me out more than my actual teacher

[@zenitram012]

"YoU'rE wRoNg YoU'rE tOTaLlY wRoNg"

[@troykeisha3185]

What's wrong is the way you type. Everything about your typing is wrong.😵

[@kyleemunn9178]

Troy Keisha she was referencing something that was said in the video. She wasn’t saying he was wrong.

[@vgl3ntdj829]

@@troykeisha3185 The way she is typing conveys sarcasm. Only true gamers understand.

[@efaeman2657]

One student said this during lecture 😇

[@tastypencil]

@@troykeisha3185 wOo0oOo0oOo0osh

[@mekdelawittibeb16]

omg thank you soooooooooo much you have no idea how this helps me, our teacher doesn't explain it this nice so it was very helpful to watch this.

[@sarahloughry9187]

Thankyou Brian!!! God bless your soul!

[@nickolaibrosky]

Thank you so much for the steps, they're so helpful when visualizing it. You my good sir are a godsend

[@naomimcmillan5486]

Literally you save me on all of my calculus homework. THANK YOU!

[@Just-u7q3l]

Good teacher👍. From London 🇬🇧 UK.

[@CryosXp]

I’ve learned more in these 11 minutes than in the entire unit. God I wish you taught me college algebra, and I wish I found out about you sooner

[@justinkrentz7970]

wish I would've found this guy at the beginning of my semester.....

[@CristianSalceMercedes]

Thank you for the video. I followed the methods 🙏🏽. God bless you & your family.

[@tonyp.1463]

Brian?? 🤔 No no no... More like BRAIN 🧠

[@iM4rshal]

best math teacher ever seen, I was hopeless of Calculus until i found your channel! thanks a lot!

[@krishmasuriya2660]

To find the x-intercept, you can also make the numerator equal to 0. If you do that you will get the correct x-intercept without doing much work and dealing with more stuff.

[@EmjayStapleton]

Just a tip for telling the difference between a Hole and a Vertical Asymptote: Simplify the equation down to its simplest form, any invalid values of x in this new equation are asymptotes of the old one, while invalid values of x that are just in the original and not the simplified ones are just holes.

[@EpicMathTime]

Inspiring, your passion is obvious!

[@mackenzielowe7264]

Thank you so much! I have a test on this tomorrow and my teacher doesn't teach well and this really helped

[@samvestal_1]

Have my Algebra 2 final tomorrow and this was a lot easier to follow than my teacher. Thanks

[@xzepper5637]

Also studying for finals lol good luck Sam!

[@adammiller4969]

Thanks I have a test tomorrow this saved my life!!!

[@mjcard]

Great to be able to re-play these lessons. There is a lot of detail and it goes by quickly. Thanks.

[@andreaeide6683]

Thank goodness for this teacher and Organic Chemistry because mine doesn't explain anythinggggg.

[@leonardeide2008]

This is actaully explaination of everything I learn today

[@sergiotavarez907]

This man is literally carrying my algebra 2 grade thank you so much!

[@sadiyahjahan7123]

What about when n>m? Do we find slant asymptote by dividing the function or only n÷m(the degree)? If we do, do we need to plug into the graph?

[@brianmclogan]

slant

[@benmarshal-rs6vx]

Thank you sir for your videos, I wish you could come and teach us here. This message is written with the utmost appreciation for your videos. I've learned more from your videos in one week than in class in 4 months. Thank You sir

[@liahbegino4921]

thank you so much sirrr you are more more better than my prof huhuhu you saved me from failing

[@efaeman2657]

Your lectures are very helpful for me in calculas

[@laikendemoss6626]

This is so helpful, I understood more from this one video than 2 weeks of class

[@bulletsizednuke1100]

OMG, he's so articulate. Why can't all math teachers be like that?

[@Hannah-yn4gf]

you have no idea how much you saved my life in algebra 2/precal

[@redcrucible7]

Thank you so much for these videos. They're a life saver.

[@willow0653]

Thank you for helping me through algebra 2 and pre cal. Cant wait for calculas.

[@nutritionbyelsa]

thank you! awesome content + help.... even 7 years later which is so cool your stuff can hang out on youtube and help forever

[@reyn-vh5oj]

Thank you for helping me pass my final 🙏

[@cinnamontae9327]

watching this the night before the final because the teacher just gave it as homework for some reason L. thank u so much Brian if I get a good grade its cause of you 🙂

[@brianmclogan]

You got this!!

[@jackmonn6517]

This is the best video I have ever seen

[@JimmyJohnson7x]

Your the goat man, my teacher is nothing compared to you bro!

[@bkalpakhadka698]

you are the best teacher

[@kurtnickgonzales8883]

I hope you're my professor in my Math class omg you saved my life!Well done!

[@stevensub8084]

You are showing a complex way graphing rational function. My lecturer taught it differently and it was easy to comprehend.

[@aleahfernando8930]

Brian THIS WAS REALLY HELPFUL FOR MY REPORTING, IT MADE IT A LOT EASIER TO EXPLAIN IT , I owe you my passing grade

[@brianmclogan]

just happy to help you Aleah! keep working hard

[@TravisFanNC17]

This guy is my favorite when I need help

[@theyisgreen.9883]

About y-intercepts my teacher taught me that when f(x) is 0 1 is it’s denominator so if you cross multiply it really is just 0=numerator

[@raine_8990]

i hope zach is okay

[@icespikes9207]

I heard that