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How to graph a rational function using 6 steps 

Brian McLogan
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👉 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.freemathvi...
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27 сен 2024

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Комментарии : 704   
@brianmclogan
@brianmclogan 7 месяцев назад
Easy Medium Hard Holes or Asymptotes - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-F6X9I4OSLSY.html
@SirPdog
@SirPdog 5 лет назад
Knew he was gonna be a fire math teacher when I saw his bald head
@owenkidd1711
@owenkidd1711 5 лет назад
He cant even pronounce asymptote correctly but ok
@bajuliiee2508
@bajuliiee2508 5 лет назад
@@owenkidd1711 didn't think it matters but ok
@jackwilson4324
@jackwilson4324 5 лет назад
@@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
Owen Kidd fuck off
@lennoxy3375
@lennoxy3375 5 лет назад
@@29957fred i miss u
@lozanohub8028
@lozanohub8028 5 лет назад
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
Watching this 10 minuites before because I missed the lesson and she won’t help in a test
@DelScully
@DelScully 2 года назад
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 Год назад
same
@gamers1955
@gamers1955 Год назад
how did you do on the test? if you can even remember from 3 years ago lmao😂
@boxofcereal
@boxofcereal Год назад
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
So awesome and happy to hear from you, thanks for sharonf
@leeburch2849
@leeburch2849 6 лет назад
Brian, you've taught me more than my teacher
@brianmclogan
@brianmclogan 6 лет назад
happy to be there for you
@hannaarispe1856
@hannaarispe1856 4 года назад
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
same. My teacher had 45 minutes to teach us but this man is a savior and does it in 11 minutes.
@lemerovingien6116
@lemerovingien6116 3 года назад
@@rodgerrodriguez3621 without the students’ question I think he did it in like 7min xd
@dodo-sr8jp
@dodo-sr8jp 5 лет назад
i keep getting distracted whenever he says, "asymptopes" lol
@mikeb6923
@mikeb6923 4 года назад
I thought I was the only one, hahahaha.
@gisakazefredson2146
@gisakazefredson2146 4 года назад
Asymptopes is a line that continually approaches a given curve but does not meet it at any finite distance
@jordanhs6313
@jordanhs6313 4 года назад
@@gisakazefredson2146 *asymptotes*
@SolidSiren
@SolidSiren 3 года назад
Yea why is he saying that?
@SolidSiren
@SolidSiren 3 года назад
@@gisakazefredson2146 *AsympTOTE*
@gellysvision
@gellysvision 5 лет назад
i thought that kids head was a microphone... he turns around and suddenly my third eye opened
@MondoBattlefield
@MondoBattlefield 5 лет назад
Lol same
@daisyg509
@daisyg509 5 лет назад
Lmaoooo
@nathanmurray2891
@nathanmurray2891 5 лет назад
Thx for making me laugh in all this stress 🤣
@balbinanasiff5412
@balbinanasiff5412 5 лет назад
OMG I've never laughed so hard!
@hirdaybindra6507
@hirdaybindra6507 5 лет назад
🤣🤣
@blackflash4795
@blackflash4795 6 лет назад
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
you do, keep working hard, happy to be able to help
@simonge3042
@simonge3042 5 лет назад
You should go and get some proper maths books.... Start from the most basic AOPS ones.
@alicia7121
@alicia7121 6 лет назад
Really can not thank you enough for this lesson, ​Brian.
@brianmclogan
@brianmclogan 6 лет назад
Happy to help Alicia
@we3630
@we3630 5 лет назад
My professor could never , thank you so much
@samuelalves905
@samuelalves905 5 лет назад
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 лет назад
you are very welcome!
@Wandji18
@Wandji18 3 года назад
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
@sennathaynara 5 лет назад
Brian, youve taught me so much, did all my homeworks and studied for my finals using your lectures. Thank you so much !!!
@gabbyoverstreet9067
@gabbyoverstreet9067 7 месяцев назад
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.
@danegroves4056
@danegroves4056 5 лет назад
No one : That kid: ThAT’s WrOnG! tHaT’S tOTaLlY wRoNG! @ 10:29
@BoneleSSWangs03
@BoneleSSWangs03 3 года назад
Brian needs to bop that kid one
@jarenreed6627
@jarenreed6627 3 года назад
I’m dead
@andreadersom3399
@andreadersom3399 Год назад
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.
@jackli4593
@jackli4593 7 лет назад
TY so much!, helped me a lot in my pre calc class
@brianmclogan
@brianmclogan 7 лет назад
awesome, glad to be able to help
@M.J44
@M.J44 Год назад
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!
@hotman718
@hotman718 Месяц 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.
@fiona_axolotl_imnida
@fiona_axolotl_imnida Год назад
this video is from 7 years ago, and still helps me survive general mathematics. Thank youuu!
@dangerkitten1705
@dangerkitten1705 2 года назад
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!
@v4verbatim
@v4verbatim 5 лет назад
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
@danibarrios4479
@danibarrios4479 5 лет назад
Straight forward and to the point. Thanks brian
@raine_8990
@raine_8990 5 лет назад
i hope zach is okay
@icespikes9207
@icespikes9207 3 года назад
I heard that
@justinkrentz7970
@justinkrentz7970 5 лет назад
wish I would've found this guy at the beginning of my semester.....
@EpicMathTime
@EpicMathTime 5 лет назад
Inspiring, your passion is obvious!
@amelialeaman1557
@amelialeaman1557 Год назад
you are a maths wizz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! love from the UK ps. My aunty really fancies you
@zeRosaab
@zeRosaab 6 лет назад
Amazing video man. You explained this much better than my engineering math teacher did.
@brianmclogan
@brianmclogan 6 лет назад
Happy to help Hamzah
@jadynpetty7534
@jadynpetty7534 6 лет назад
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
happy to be there for you Jadyn!
@sarahloughry9187
@sarahloughry9187 4 месяца назад
Thankyou Brian!!! God bless your soul!
@tonyp.1463
@tonyp.1463 5 лет назад
Brian?? 🤔 No no no... More like BRAIN 🧠
@EmjayStapleton
@EmjayStapleton Месяц назад
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.
@Cosmicly
@Cosmicly 3 года назад
Him: leans down Mic quality: *bass boosted time*
@Santi-mg7kc
@Santi-mg7kc 3 года назад
What's the timestamp
@mekdelawittibeb16
@mekdelawittibeb16 9 месяцев 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.
@JackOlantern36
@JackOlantern36 11 месяцев 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 👍
@wendymartinez9242
@wendymartinez9242 5 лет назад
"YoU'rE wRoNg YoU'rE tOTaLlY wRoNg"
@troykeisha3185
@troykeisha3185 5 лет назад
What's wrong is the way you type. Everything about your typing is wrong.😵
@kyleemunn9178
@kyleemunn9178 5 лет назад
Troy Keisha she was referencing something that was said in the video. She wasn’t saying he was wrong.
@vgl3ntdj829
@vgl3ntdj829 4 года назад
@@troykeisha3185 The way she is typing conveys sarcasm. Only true gamers understand.
@efaeman2657
@efaeman2657 4 года назад
One student said this during lecture 😇
@tastypencil
@tastypencil 4 года назад
@@troykeisha3185 wOo0oOo0oOo0osh
@kevinescamilla588
@kevinescamilla588 2 года назад
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
@andreaeide6683
@andreaeide6683 8 месяцев назад
Thank goodness for this teacher and Organic Chemistry because mine doesn't explain anythinggggg.
@CristianSalceMercedes
@CristianSalceMercedes 3 года назад
Thank you for the video. I followed the methods 🙏🏽. God bless you & your family.
@jgarrison1309
@jgarrison1309 4 года назад
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 Месяц 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
@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
@dakota7942
@dakota7942 4 года назад
You are a gentleman and a scholar and I don't think I would survive math without your videos
@kalkidanmitiku4453
@kalkidanmitiku4453 9 месяцев назад
you are the best maths teacher I've ever seen. you have helped me alot. thank you
@alsohabib6936
@alsohabib6936 3 года назад
Zach was just dying in the corner the entire time
@ItzSolar87
@ItzSolar87 7 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
@naomimcmillan5486
@naomimcmillan5486 2 года назад
Literally you save me on all of my calculus homework. THANK YOU!
@efaeman2657
@efaeman2657 4 года назад
Your lectures are very helpful for me in calculas
@willow0653
@willow0653 5 месяцев назад
Thank you for helping me through algebra 2 and pre cal. Cant wait for calculas.
@redcrucible7
@redcrucible7 4 года назад
Thank you so much for these videos. They're a life saver.
@krishmasuriya2660
@krishmasuriya2660 Год назад
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.
@theyisgreen.9883
@theyisgreen.9883 4 года назад
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
@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
@reyn-vh5oj
@reyn-vh5oj 3 месяца назад
Thank you for helping me pass my final 🙏
@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
@iM4rshal
@iM4rshal 5 лет назад
best math teacher ever seen, I was hopeless of Calculus until i found your channel! thanks a lot!
@unknown_person5905
@unknown_person5905 Год назад
I was just eating snickers and then and then a snickers ad came to me , what a coincidence?😁
@melaniegalaviz4714
@melaniegalaviz4714 5 месяцев назад
king always comes in clutch before the tests
@sergiotavarez907
@sergiotavarez907 4 года назад
This man is literally carrying my algebra 2 grade thank you so much!
@adammiller4969
@adammiller4969 5 лет назад
Thanks I have a test tomorrow this saved my life!!!
@mariahtrizzy4166
@mariahtrizzy4166 Год назад
This guy really knows his thing # superb maths teacher
@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!
@megmartinez4451
@megmartinez4451 6 лет назад
thank you so much now I wont fail:)
@Hannah-yn4gf
@Hannah-yn4gf 4 года назад
you have no idea how much you saved my life in algebra 2/precal
@sebasdeleon55
@sebasdeleon55 9 месяцев назад
If I am supposed to find the Horizontal and Vertical asymptotes with limits for my calculus quiz on this would your method still work?
@bkalpakhadka698
@bkalpakhadka698 Год назад
you are the best teacher
@aidanl3105
@aidanl3105 2 года назад
6:24 is the funniest thing ive seen in a while
@potato2896
@potato2896 2 года назад
The add was head and shoulder proceed to show a bald math teacher Btw thanks such a great teacher it's easy to understand
@alluringrain5462
@alluringrain5462 3 года назад
Thank you, Sir! You helped me a lot. God bless you. :)
@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
@1javixD
@1javixD 7 месяцев назад
😭😭😭 thank you! omg so simple! Why my math teacher no good?
@AdamZane
@AdamZane 6 месяцев назад
Fr
@sagardey6002
@sagardey6002 9 месяцев 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
@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
@jackmonn6517
@jackmonn6517 10 месяцев назад
This is the best video I have ever seen
@sadiyahjahan7123
@sadiyahjahan7123 6 лет назад
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 6 лет назад
slant
@camfolks
@camfolks 6 месяцев назад
Actually gonna give up on college after this bullshit Brian thanks
@laikendemoss6626
@laikendemoss6626 4 года назад
This is so helpful, I understood more from this one video than 2 weeks of class
@jessicanguyen9046
@jessicanguyen9046 3 года назад
This guy is the goat 5 years later
@liahbegino4921
@liahbegino4921 5 лет назад
thank you so much sirrr you are more more better than my prof huhuhu you saved me from failing
@antruong1575
@antruong1575 6 лет назад
thanks to your students, I can even understand more the example you give.
@brianmclogan
@brianmclogan 6 лет назад
talking? sorry
@humphreyjamesbillones1750
@humphreyjamesbillones1750 6 лет назад
@@brianmclogan nah sir i think he was thanking your student for verificating things he dont know.
@razojacqueline
@razojacqueline Год назад
Thank you for providing this video.
@ariwallinh369
@ariwallinh369 Год назад
Thank you so much!! You are helping me a lot in my papers😭💫
@lordmaximillius3431
@lordmaximillius3431 5 лет назад
Great teacher actually shows his steps step by step unlike my shitty teacher who just throws numbers on the screen and expects us to know where they came from
@joylynn9028
@joylynn9028 5 лет назад
you can also just look at the equation on top and see when x-1=0 x=1, so that is the x intercept...
@rogerwang21
@rogerwang21 4 года назад
You wouldn't need to test symmetry when you asymptotes not symmetrical across the the y-axis (e.g. x = -2 and x = 3)
@winxxdee9746
@winxxdee9746 4 года назад
6:18 me every time instead of jotting down
@gold4963
@gold4963 6 лет назад
Exactly what I needed. Thank you!
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome!
@mikaylanc
@mikaylanc 5 лет назад
I'd go to whatever school this is just to be taught by this guy..
@deguzmanjohnvincentm.2577
@deguzmanjohnvincentm.2577 3 года назад
my teacher said that y intercept is the phase where you should replace x's as zero
@bleach.-784
@bleach.-784 6 лет назад
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
I was explaining why it works to just set the numerator equal to zero
@bleach.-784
@bleach.-784 6 лет назад
ah ok gotcha
@rachelwalker3017
@rachelwalker3017 3 года назад
This made it make a lot more sense thank you
@azaalg29
@azaalg29 5 лет назад
Thank you so much. I so excited your teaching way
@luvvyxo
@luvvyxo 2 года назад
it’s 3:30 am and i’m binge watching your vids bc i neeeeed to pass my test
@fortblanco7977
@fortblanco7977 6 лет назад
Thank you my good sir, you're so much better than my General Math teacher.
@brianmclogan
@brianmclogan 6 лет назад
sory to hear of your troubles but happy to be there for you!
@aless8909
@aless8909 5 лет назад
What if the degree in the numerator is more than the degree in the denominator when trying to find horizontal asymptotes?
@halakhalifa3775
@halakhalifa3775 5 лет назад
Alessio Cottino it will have an oblique asymptote which can be found using long division
@Ann-ry3cl
@Ann-ry3cl 5 лет назад
This teacher knows how to do two functions at once
@Ann-ry3cl
@Ann-ry3cl 5 лет назад
Yes,I do talk to my self
@maiavlogs3820
@maiavlogs3820 3 года назад
Can you be my teacher in struggling with pre- calc 😭 your examples are helping a lot thank you
@allabouteverything41
@allabouteverything41 6 лет назад
Thank you so much this video helped me a lot I have Maths 9709 A2 Paper tomorrow and I hope Everything turns out good!
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome! best of luck tomorrow!
@joey5588
@joey5588 Год назад
Thanks Professor!
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