How to graph a rational function using 6 steps

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  • Опубликовано: 23 дек 2024

Комментарии • 710

  • @brianmclogan
    @brianmclogan  9 месяцев назад +21

    Easy Medium Hard Holes or Asymptotes - ruclips.net/video/F6X9I4OSLSY/видео.html

  • @SirPdog
    @SirPdog 5 лет назад +4787

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

    • @owenkidd1711
      @owenkidd1711 5 лет назад +22

      He cant even pronounce asymptote correctly but ok

    • @bajuliiee2508
      @bajuliiee2508 5 лет назад +344

      @@owenkidd1711 didn't think it matters but ok

    • @jackwilson4324
      @jackwilson4324 5 лет назад +293

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

    • @29957fred
      @29957fred 5 лет назад +47

      Owen Kidd fuck off

    • @lennoxy3375
      @lennoxy3375 5 лет назад +5

      @@29957fred i miss u

  • @boxofcereal
    @boxofcereal Год назад +196

    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  Год назад +21

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

  • @lozanohub8028
    @lozanohub8028 5 лет назад +880

    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 года назад +28

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

    • @DelScully
      @DelScully 2 года назад +2

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

    • @8BitGamerYT1
      @8BitGamerYT1 2 года назад

      @@DelScully can u give the question ?

    • @bl0cked797
      @bl0cked797 2 года назад

      same

    • @gamers1955
      @gamers1955 Год назад +1

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

  • @leeburch2849
    @leeburch2849 7 лет назад +848

    Brian, you've taught me more than my teacher

  • @user-jh2xy9hy1f
    @user-jh2xy9hy1f 5 лет назад +130

    would be failing math without you, god bless your soul

  • @gellysvision
    @gellysvision 6 лет назад +1069

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

  • @cooldude3380
    @cooldude3380 6 лет назад +199

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

    • @rocheellee
      @rocheellee 6 лет назад +4

      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 6 лет назад +2

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

    • @pathsarye2402
      @pathsarye2402 5 лет назад

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

    • @NoBrakes
      @NoBrakes 3 года назад

      what did u get on the test?

    • @cooldude3380
      @cooldude3380 3 года назад

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

  • @chaimclaughlin2431
    @chaimclaughlin2431 Месяц назад +2

    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
    @hannaarispe1856 4 года назад +281

    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 4 года назад

      exactly

    • @rodgerrodriguez3621
      @rodgerrodriguez3621 4 года назад +3

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

    • @lemerovingien6116
      @lemerovingien6116 4 года назад

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

  • @Wandji18
    @Wandji18 3 года назад +9

    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!!

  • @alicia7121
    @alicia7121 6 лет назад +118

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

  • @dodo-sr8jp
    @dodo-sr8jp 5 лет назад +362

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

    • @mikeb6923
      @mikeb6923 5 лет назад +19

      I thought I was the only one, hahahaha.

    • @gisakazefredson2146
      @gisakazefredson2146 4 года назад +12

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

    • @jordanhs6313
      @jordanhs6313 4 года назад +24

      @@gisakazefredson2146 *asymptotes*

    • @SolidSiren
      @SolidSiren 3 года назад +1

      Yea why is he saying that?

    • @SolidSiren
      @SolidSiren 3 года назад +4

      @@gisakazefredson2146 *AsympTOTE*

  • @blackflash4795
    @blackflash4795 6 лет назад +229

    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 лет назад +50

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

    • @simonge3042
      @simonge3042 5 лет назад +2

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

  • @mikhailquashie9899
    @mikhailquashie9899 Год назад +2

    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!!!

  • @itshannah4433
    @itshannah4433 5 лет назад +43

    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

  • @gabbyoverstreet9067
    @gabbyoverstreet9067 10 месяцев назад +2

    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.

  • @harveyspecter4430
    @harveyspecter4430 6 лет назад +32

    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!

  • @sennathaynara
    @sennathaynara 5 лет назад +16

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

  • @samuelalves905
    @samuelalves905 6 лет назад +5

    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.

  • @we3630
    @we3630 5 лет назад +39

    My professor could never , thank you so much

  • @kingkags3604
    @kingkags3604 6 лет назад +26

    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.

  • @JolianaMaged-g8o
    @JolianaMaged-g8o 11 месяцев назад +1

    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

  • @mkmathstutorials6645
    @mkmathstutorials6645 Год назад +7

    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.

  • @andreadersom3399
    @andreadersom3399 Год назад +1

    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.

  • @M.J44
    @M.J44 Год назад +4

    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!

  • @kaddanki096
    @kaddanki096 2 года назад +2

    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

  • @kylededios3556
    @kylededios3556 4 года назад +2

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

  • @dangerkitten1705
    @dangerkitten1705 2 года назад +10

    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!

  • @packosand3287
    @packosand3287 Год назад +2

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

  • @jackli4593
    @jackli4593 7 лет назад +76

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

    • @brianmclogan
      @brianmclogan  7 лет назад +8

      awesome, glad to be able to help

  • @hotman718
    @hotman718 4 месяца назад

    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.

  • @henrykyle6828
    @henrykyle6828 2 месяца назад +1

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

  • @danibarrios4479
    @danibarrios4479 5 лет назад +7

    Straight forward and to the point. Thanks brian

  • @ThomasTDVGames
    @ThomasTDVGames 4 года назад +1

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

  • @v4verbatim
    @v4verbatim 5 лет назад +6

    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

  • @fiona_axolotl_imnida
    @fiona_axolotl_imnida Год назад +1

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

  • @BlessingMubure-cl2us
    @BlessingMubure-cl2us 15 дней назад +2

    Very infomative and straight to the point ❤
    Thank you .

  • @Drewski777
    @Drewski777 Год назад +1

    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

  • @bryancambray1769
    @bryancambray1769 4 года назад

    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.

  • @danegroves4056
    @danegroves4056 5 лет назад +74

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

  • @mjcard
    @mjcard 5 лет назад +1

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

  • @aliciadelarosa2949
    @aliciadelarosa2949 4 года назад +2

    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 .

  • @jadynpetty7534
    @jadynpetty7534 6 лет назад +1

    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 лет назад +1

      happy to be there for you Jadyn!

  • @donovan30
    @donovan30 2 года назад +1

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

  • @jgarrison1309
    @jgarrison1309 4 года назад +1

    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
      @hotman718 4 месяца назад

      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

  • @EpicMathTime
    @EpicMathTime 6 лет назад +12

    Inspiring, your passion is obvious!

  • @nickolaibrosky
    @nickolaibrosky 3 года назад +1

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

  • @sadiyahjahan7123
    @sadiyahjahan7123 6 лет назад +1

    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?

  • @JackOlantern36
    @JackOlantern36 Год назад

    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 👍

  • @zenitram012
    @zenitram012 5 лет назад +164

    "YoU'rE wRoNg YoU'rE tOTaLlY wRoNg"

    • @troykeisha3185
      @troykeisha3185 5 лет назад +9

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

    • @kyleemunn9178
      @kyleemunn9178 5 лет назад +26

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

    • @vgl3ntdj829
      @vgl3ntdj829 4 года назад +36

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

    • @efaeman2657
      @efaeman2657 4 года назад +6

      One student said this during lecture 😇

    • @tastypencil
      @tastypencil 4 года назад +6

      @@troykeisha3185 wOo0oOo0oOo0osh

  • @dakota7942
    @dakota7942 4 года назад

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

  • @nyarunde990
    @nyarunde990 2 года назад +1

    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

  • @zeRosaab
    @zeRosaab 6 лет назад +10

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

  • @Just-u7q3l
    @Just-u7q3l 3 года назад

    Good teacher👍. From London 🇬🇧 UK.

  • @donutsquad527
    @donutsquad527 4 года назад

    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

  • @charliesimons4596
    @charliesimons4596 2 года назад

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

  • @CristianSalceMercedes
    @CristianSalceMercedes 3 года назад

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

  • @nutritionbyelsa
    @nutritionbyelsa Год назад

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

  • @iM4rshal
    @iM4rshal 5 лет назад

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

  • @kevinescamilla588
    @kevinescamilla588 2 года назад +1

    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

  • @mekdelawittibeb16
    @mekdelawittibeb16 Год назад

    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.

  • @FunFactopias-Facts
    @FunFactopias-Facts 2 года назад +1

    THANKYOU SO MUCH! THIS SAVED MY GRADE!!!

  • @amelialeaman1557
    @amelialeaman1557 Год назад +1

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

  • @gavindenny651
    @gavindenny651 3 года назад +25

    Who else has a math test about this tomorrow

  • @kalkidanmitiku4453
    @kalkidanmitiku4453 11 месяцев назад

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

  • @sarahloughry9187
    @sarahloughry9187 7 месяцев назад

    Thankyou Brian!!! God bless your soul!

  • @naomimcmillan5486
    @naomimcmillan5486 2 года назад

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

  • @sebasdeleon55
    @sebasdeleon55 Год назад +1

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

  • @Dark_academia_
    @Dark_academia_ Год назад

    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!

  • @tanmay7724
    @tanmay7724 Год назад +4

    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

  • @benmarshal-rs6vx
    @benmarshal-rs6vx Год назад

    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

  • @tonyp.1463
    @tonyp.1463 5 лет назад +44

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

  • @CryosXp
    @CryosXp 10 месяцев назад

    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

  • @bleach.-784
    @bleach.-784 6 лет назад +5

    Question: for the x-intercept why do you use the recepricole when you can just set the numerator equal to 0?

    • @brianmclogan
      @brianmclogan  6 лет назад +3

      I was explaining why it works to just set the numerator equal to zero

    • @bleach.-784
      @bleach.-784 6 лет назад +1

      ah ok gotcha

  • @justingambardella8338
    @justingambardella8338 5 лет назад +1

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

  • @PsycheOW
    @PsycheOW 4 года назад +1

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

  • @justinkrentz7970
    @justinkrentz7970 5 лет назад +14

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

  • @redcrucible7
    @redcrucible7 5 лет назад +1

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

  • @krishmasuriya2660
    @krishmasuriya2660 Год назад +2

    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.

  • @raine_8990
    @raine_8990 6 лет назад +57

    i hope zach is okay

  • @Kenkousan
    @Kenkousan 6 лет назад +3

    Isn't f(5) supposed to be equals to 0.29 since rounded off?

  • @sergiotavarez907
    @sergiotavarez907 4 года назад +1

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

  • @bulletsizednuke1100
    @bulletsizednuke1100 4 года назад +2

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

  • @sagardey6002
    @sagardey6002 Год назад

    Sir you could plot critical points and compare inc and Dec graph and concavity to plot the graph easily without plugging x values into the functions

  • @laikendemoss6626
    @laikendemoss6626 4 года назад

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

  • @stevensub8084
    @stevensub8084 6 лет назад +2

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

  • @mackenzielowe7264
    @mackenzielowe7264 Год назад

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

  • @meehhhhhhhno
    @meehhhhhhhno 5 лет назад +2

    For finding the x-intercept(s) cant you cut the steps down to just setting the numerator to zero?

    • @mikayladennis4837
      @mikayladennis4837 5 лет назад

      Yes!

    • @Sc15Gaming
      @Sc15Gaming 5 лет назад

      you can i believe

    • @aidanrobleto9013
      @aidanrobleto9013 5 лет назад +1

      That's what he was doing, be just showed the work that let's you take this shortcut

    • @normaort1362
      @normaort1362 5 лет назад

      Yes, the fraction is zero when it’s numerator is zero. So you don’t have to multiply by the denominator which is not zero!

  • @fadihalaweh8018
    @fadihalaweh8018 2 года назад +1

    Hello can't just we use the limits to the vertical asymptotes to get the shape of the graph ??

    • @brianmclogan
      @brianmclogan  2 года назад

      Yes but using x and y intercepts will help better identify the shapw

  • @adammiller4969
    @adammiller4969 5 лет назад +1

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

  • @theyisgreen.9883
    @theyisgreen.9883 5 лет назад +1

    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

  • @annabellefly
    @annabellefly 6 лет назад +1

    Hey Brian, what do you do if there is a scenario like 2(x-2)(x+5) in terms of a vertical asymptote. Do you ignore the two or do you distribute it. And if so, would your vertical asymptotes be the lines x=4 and x=-10?

  • @samvestal_1
    @samvestal_1 Год назад

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

    • @xzepper5637
      @xzepper5637 Год назад

      Also studying for finals lol good luck Sam!

  • @desrick2006
    @desrick2006 6 лет назад

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

  • @JimmyJohnson7x
    @JimmyJohnson7x 2 года назад

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

  • @DardS8Br
    @DardS8Br Год назад

    Your explanation was great. Thanks so much!
    :D

  • @aleahfernando8930
    @aleahfernando8930 6 лет назад

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

    • @brianmclogan
      @brianmclogan  6 лет назад

      just happy to help you Aleah! keep working hard

  • @alluringrain5462
    @alluringrain5462 3 года назад +1

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

  • @Hannah-yn4gf
    @Hannah-yn4gf 4 года назад +1

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