How to graph a rational function using 6 steps

👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and then select some random points usually at each side of the asymptotes and the intercepts and graph the points, this enables us to identify the behavior of the graph and thus enable us to graph the function.
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Organized Videos:
✅ How to Graph Rational Functions
• How to Graph Rational ...
✅ Graph Reciprocal Functions | Learn About
• Graph Reciprocal Funct...
✅ How Graph the Reciprocal Function
• How Graph the Reciproc...
✅ Find the x and y-intercepts of a Rational Function
• Find the x and y-inter...
✅ How to Graph Rational Functions with Asymptotes
• How to Graph Rational ...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#rationalfunctions #brianmclogan

Пікірлер: 699

  • @brianmclogan
    @brianmclogan4 ай бұрын

    Easy Medium Hard Holes or Asymptotes - kzread.info/dash/bejne/eGqMm6ttf7ayg7w.html

  • @SirPdog
    @SirPdog5 жыл бұрын

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

  • @owenkidd1711

    @owenkidd1711

    5 жыл бұрын

    He cant even pronounce asymptote correctly but ok

  • @bajuliiee2508

    @bajuliiee2508

    5 жыл бұрын

    @@owenkidd1711 didn't think it matters but ok

  • @jackwilson4324

    @jackwilson4324

    5 жыл бұрын

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

  • @29957fred

    @29957fred

    4 жыл бұрын

    Owen Kidd fuck off

  • @lennoxy3375

    @lennoxy3375

    4 жыл бұрын

    @@29957fred i miss u

  • @lozanohub8028
    @lozanohub80285 жыл бұрын

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

  • @zachcrosco3295

    @zachcrosco3295

    2 жыл бұрын

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

  • @DelScully

    @DelScully

    2 жыл бұрын

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

  • @8BitGamerYT1

    @8BitGamerYT1

    Жыл бұрын

    @@DelScully can u give the question ?

  • @bl0cked797

    @bl0cked797

    Жыл бұрын

    same

  • @gamers1955

    @gamers1955

    Жыл бұрын

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

  • @gellysvision
    @gellysvision5 жыл бұрын

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

  • @MondoBattlefield

    @MondoBattlefield

    5 жыл бұрын

    Lol same

  • @daisyg509

    @daisyg509

    5 жыл бұрын

    Lmaoooo

  • @nathanmurray2891

    @nathanmurray2891

    5 жыл бұрын

    Thx for making me laugh in all this stress 🤣

  • @balbinanasiff5412

    @balbinanasiff5412

    5 жыл бұрын

    OMG I've never laughed so hard!

  • @hirdaybindra6507

    @hirdaybindra6507

    5 жыл бұрын

    🤣🤣

  • @hannaarispe1856
    @hannaarispe18564 жыл бұрын

    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

    @dailydoseofus4921

    3 жыл бұрын

    exactly

  • @rodgerrodriguez3621

    @rodgerrodriguez3621

    3 жыл бұрын

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

  • @lemerovingien6116

    @lemerovingien6116

    3 жыл бұрын

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

  • @dodo-sr8jp
    @dodo-sr8jp5 жыл бұрын

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

  • @mikeb6923

    @mikeb6923

    4 жыл бұрын

    I thought I was the only one, hahahaha.

  • @gisakazefredson2146

    @gisakazefredson2146

    4 жыл бұрын

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

  • @jordanhs6313

    @jordanhs6313

    4 жыл бұрын

    @@gisakazefredson2146 *asymptotes*

  • @SolidSiren

    @SolidSiren

    3 жыл бұрын

    Yea why is he saying that?

  • @SolidSiren

    @SolidSiren

    3 жыл бұрын

    @@gisakazefredson2146 *AsympTOTE*

  • @boxofcereal
    @boxofcereal Жыл бұрын

    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

    @brianmclogan

    Жыл бұрын

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

  • @leeburch2849
    @leeburch28496 жыл бұрын

    Brian, you've taught me more than my teacher

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    happy to be there for you

  • @user-jh2xy9hy1f
    @user-jh2xy9hy1f5 жыл бұрын

    would be failing math without you, god bless your soul

  • @wescanada6

    @wescanada6

    4 жыл бұрын

    Facts

  • @BOSS-nz2hw

    @BOSS-nz2hw

    3 жыл бұрын

    Legit

  • @blackflash4795
    @blackflash47956 жыл бұрын

    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

    @brianmclogan

    6 жыл бұрын

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

  • @simonge3042

    @simonge3042

    5 жыл бұрын

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

  • @danegroves4056
    @danegroves40564 жыл бұрын

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

  • @BoneleSSWangs03

    @BoneleSSWangs03

    3 жыл бұрын

    Brian needs to bop that kid one

  • @jarenreed6627

    @jarenreed6627

    3 жыл бұрын

    I’m dead

  • @cooldude3380
    @cooldude33805 жыл бұрын

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

  • @rochelle7895

    @rochelle7895

    5 жыл бұрын

    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

    @cooldude3380

    5 жыл бұрын

    @@rochelle7895 hahaha wasn't expecting to see someone like u either

  • @pathsarye2402

    @pathsarye2402

    5 жыл бұрын

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

  • @NoBrakes

    @NoBrakes

    2 жыл бұрын

    what did u get on the test?

  • @cooldude3380

    @cooldude3380

    2 жыл бұрын

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

  • @gavindenny651
    @gavindenny6513 жыл бұрын

    Who else has a math test about this tomorrow

  • @alicia7121
    @alicia71215 жыл бұрын

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

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    Happy to help Alicia

  • @Wandji18
    @Wandji183 жыл бұрын

    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!!

  • @sennathaynara
    @sennathaynara5 жыл бұрын

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

  • @itshannah4433
    @itshannah44335 жыл бұрын

    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

  • @tanmay7724
    @tanmay7724 Жыл бұрын

    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

  • @we3630
    @we36305 жыл бұрын

    My professor could never , thank you so much

  • @kaddanki096
    @kaddanki0962 жыл бұрын

    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

  • @mkmathstutorials6645
    @mkmathstutorials6645 Жыл бұрын

    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.

  • @samuelalves905
    @samuelalves9055 жыл бұрын

    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

    @brianmclogan

    5 жыл бұрын

    you are very welcome!

  • @mikhailquashie9899
    @mikhailquashie98999 ай бұрын

    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!!!

  • @mjcard
    @mjcard4 жыл бұрын

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

  • @v4verbatim
    @v4verbatim5 жыл бұрын

    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

  • @M.J44
    @M.J44 Жыл бұрын

    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!

  • @bryancambray1769
    @bryancambray17693 жыл бұрын

    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.

  • @danibarrios4479
    @danibarrios44795 жыл бұрын

    Straight forward and to the point. Thanks brian

  • @dangerkitten1705
    @dangerkitten17052 жыл бұрын

    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!

  • @andreadersom3399
    @andreadersom3399 Жыл бұрын

    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.

  • @kingkags3604
    @kingkags36045 жыл бұрын

    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

    @xsupervegetax6181

    2 жыл бұрын

    Bit late but how did you do?

  • @thefantasymonarch5066

    @thefantasymonarch5066

    2 жыл бұрын

    @@xsupervegetax6181 im also curious

  • @IrenJahan-ru5tx

    @IrenJahan-ru5tx

    2 жыл бұрын

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

  • @thecyberphoenix4265

    @thecyberphoenix4265

    Жыл бұрын

    @@xsupervegetax6181 just a bit XD

  • @packosand3287
    @packosand32879 ай бұрын

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

  • @jackli4593
    @jackli45937 жыл бұрын

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

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    awesome, glad to be able to help

  • @kylededios3556
    @kylededios35563 жыл бұрын

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

  • @harveyspecter4430
    @harveyspecter44305 жыл бұрын

    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

    @brianmclogan

    5 жыл бұрын

    great Job!!!!

  • @raine_8990
    @raine_89905 жыл бұрын

    i hope zach is okay

  • @icespikes9207

    @icespikes9207

    3 жыл бұрын

    I heard that

  • @jadynpetty7534
    @jadynpetty75346 жыл бұрын

    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

    @brianmclogan

    6 жыл бұрын

    happy to be there for you Jadyn!

  • @iM4rshal
    @iM4rshal5 жыл бұрын

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

  • @nickolaibrosky
    @nickolaibrosky2 жыл бұрын

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

  • @gabbyoverstreet9067
    @gabbyoverstreet90674 ай бұрын

    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.

  • @EpicMathTime
    @EpicMathTime5 жыл бұрын

    Inspiring, your passion is obvious!

  • @dakota7942
    @dakota79424 жыл бұрын

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

  • @wendymartinez9242
    @wendymartinez92425 жыл бұрын

    "YoU'rE wRoNg YoU'rE tOTaLlY wRoNg"

  • @troykeisha3185

    @troykeisha3185

    5 жыл бұрын

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

  • @kyleemunn9178

    @kyleemunn9178

    4 жыл бұрын

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

  • @vgl3ntdj829

    @vgl3ntdj829

    4 жыл бұрын

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

  • @efaeman2657

    @efaeman2657

    4 жыл бұрын

    One student said this during lecture 😇

  • @tastypencil

    @tastypencil

    4 жыл бұрын

    @@troykeisha3185 wOo0oOo0oOo0osh

  • @fiona_axolotl_imnida
    @fiona_axolotl_imnida10 ай бұрын

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

  • @kevinescamilla588
    @kevinescamilla5882 жыл бұрын

    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

  • @raetromsness257
    @raetromsness2574 жыл бұрын

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

  • @laikendemoss6626
    @laikendemoss66264 жыл бұрын

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

  • @user-ir7em1hm4i
    @user-ir7em1hm4i6 ай бұрын

    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

  • @justingambardella8338
    @justingambardella83385 жыл бұрын

    what function did you put into the calculator to get the points of f(5),f(4), etc?

  • @zeRosaab
    @zeRosaab5 жыл бұрын

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

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    Happy to help Hamzah

  • @naomimcmillan5486
    @naomimcmillan54862 жыл бұрын

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

  • @justinkrentz7970
    @justinkrentz79705 жыл бұрын

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

  • @titsnpizza1679
    @titsnpizza16795 жыл бұрын

    Mclogan if you are reading this thank you the test is tmrw and this helped me alot you are amazing

  • @aliciadelarosa2949
    @aliciadelarosa29494 жыл бұрын

    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 .

  • @nutritionbyelsa
    @nutritionbyelsa10 ай бұрын

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

  • @donovan30
    @donovan302 жыл бұрын

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

  • @jgarrison1309
    @jgarrison13094 жыл бұрын

    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.

  • @CristianSalceMercedes
    @CristianSalceMercedes3 жыл бұрын

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

  • @kurtnickgonzales8883
    @kurtnickgonzales88834 жыл бұрын

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

  • @sergiotavarez907
    @sergiotavarez9074 жыл бұрын

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

  • @sarahloughry9187
    @sarahloughry91872 ай бұрын

    Thankyou Brian!!! God bless your soul!

  • @ThomasTDVGames
    @ThomasTDVGames4 жыл бұрын

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

  • @megmartinez4451
    @megmartinez44515 жыл бұрын

    thank you so much now I wont fail:)

  • @benmarshal-rs6vx
    @benmarshal-rs6vx Жыл бұрын

    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

  • @FunFactopias-Facts
    @FunFactopias-Facts Жыл бұрын

    THANKYOU SO MUCH! THIS SAVED MY GRADE!!!

  • @symonstroia9700
    @symonstroia97005 жыл бұрын

    I found this video to be really helpful. Thanks!

  • @adammiller4969
    @adammiller49695 жыл бұрын

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

  • @andrewmanzano4792
    @andrewmanzano47928 ай бұрын

    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

  • @SmhMila
    @SmhMila3 жыл бұрын

    for the symmetry one, do we also look at the denominator?

  • @alluringrain5462
    @alluringrain54623 жыл бұрын

    Thank you, Sir! You helped me a lot. God bless you. :)

  • @tonyp.1463
    @tonyp.14635 жыл бұрын

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

  • @desrick2006
    @desrick20065 жыл бұрын

    Hi Brian, do u have any video for introduction limits and showing how to graph it as well?

  • @santinosunseri7692
    @santinosunseri76925 жыл бұрын

    Brian I subbed due to your good teaching methods thank god I found your page

  • @nyarunde990
    @nyarunde9902 жыл бұрын

    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

  • @rachelwalker3017
    @rachelwalker30173 жыл бұрын

    This made it make a lot more sense thank you

  • @JackOlantern36
    @JackOlantern369 ай бұрын

    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 👍

  • @unknownj424
    @unknownj4245 жыл бұрын

    Sir thank you so much it really helped me. My teacher does not much as you do. Again thank you so much 😊

  • @mekdelawittibeb16
    @mekdelawittibeb167 ай бұрын

    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.

  • @sadiyahjahan7123
    @sadiyahjahan71235 жыл бұрын

    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

    @brianmclogan

    5 жыл бұрын

    slant

  • @theyisgreen.9883
    @theyisgreen.98834 жыл бұрын

    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

  • @willow0653
    @willow06533 ай бұрын

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

  • @DivineSeaDragon
    @DivineSeaDragon4 жыл бұрын

    God. You’re a life saver thank you so much

  • @gold4963
    @gold49636 жыл бұрын

    Exactly what I needed. Thank you!

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @Vurgale
    @Vurgale2 жыл бұрын

    Thank you so much ❤️

  • @justaman7745
    @justaman77453 жыл бұрын

    Good teacher👍. From London 🇬🇧 UK.

  • @ispy4194
    @ispy41945 жыл бұрын

    I love you Brian, thank you so much

  • @azaalg29
    @azaalg294 жыл бұрын

    Thank you so much. I so excited your teaching way

  • @alsohabib6936
    @alsohabib69363 жыл бұрын

    Zach was just dying in the corner the entire time

  • @Dark_academia_
    @Dark_academia_8 ай бұрын

    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!

  • @efaeman2657
    @efaeman26574 жыл бұрын

    Your lectures are very helpful for me in calculas

  • @kalkidanmitiku4453
    @kalkidanmitiku44536 ай бұрын

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

  • @John-lf3xf
    @John-lf3xf5 жыл бұрын

    This video is perfect. Thanks so much

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    Happy to help John

  • @bsglowup5517
    @bsglowup55175 жыл бұрын

    In the pacific and im learning a lot thanks teacher

  • @DardS8Br
    @DardS8Br11 ай бұрын

    Your explanation was great. Thanks so much! :D

  • @mackenzielowe7264
    @mackenzielowe7264 Жыл бұрын

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

  • @chantzoul
    @chantzoul5 жыл бұрын

    yeah u made the lesson look mad easy compared to my professor lol

  • @bulletsizednuke1100
    @bulletsizednuke11003 жыл бұрын

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

  • @eibyvelasquez7088
    @eibyvelasquez70886 жыл бұрын

    Thanks for the help!

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @sebasdeleon55
    @sebasdeleon557 ай бұрын

    If I am supposed to find the Horizontal and Vertical asymptotes with limits for my calculus quiz on this would your method still work?

  • @Cosmicly
    @Cosmicly3 жыл бұрын

    Him: leans down Mic quality: *bass boosted time*

  • @Santi-mg7kc

    @Santi-mg7kc

    3 жыл бұрын

    What's the timestamp