Graphing Rational Functions Step-by-Step (Complete Guide 3 Examples)

Learn how to graph rational functions step-by-step in this video math tutorial by Mario's Math Tutoring. We go through 3 examples involving finding horizontal asymptotes, slant asymptotes, holes (removable discontinuities), x intercepts, y intercepts, as well as using sign analysis.
Related Videos to Help You Succeed!:
Sketching Rational Functions (6 Examples)
• Sketching Rational Fun...
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Пікірлер: 113

  • @rocks813
    @rocks8133 жыл бұрын

    This channel is criminally underrated! You teach very much clearly, Sir. Thank you so much for this! :>

  • @camdenlippert3751
    @camdenlippert37513 жыл бұрын

    you've taught me what my math teacher couldn't :)

  • @metsielumeasso524

    @metsielumeasso524

    3 жыл бұрын

    Well that makes 2 of us😅

  • @rustylarry7465

    @rustylarry7465

    2 жыл бұрын

    You searched for this video which means you intend on actually listening, happens to the best of us.

  • @mro7432

    @mro7432

    Жыл бұрын

    I've seen this comment like a hundred times; You're not wrong tho

  • @unskxjsixy

    @unskxjsixy

    Жыл бұрын

    Same I’m okay at understanding math but my teacher goes too fast for my little autistic brain

  • @Lanoixsette

    @Lanoixsette

    Жыл бұрын

    @@unskxjsixy real

  • @tacticalmistress
    @tacticalmistress3 жыл бұрын

    Not many have the ability to carry over information and teach, but Mario has got it down. Brilliant.

  • @comquatcash
    @comquatcash Жыл бұрын

    you are a national treasure Mario, the way you thoroughly go through every step is flawless in my opinion, you truly have a gift for teaching great work.

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Wow, thank you!

  • @shirazqasmi5090
    @shirazqasmi50903 жыл бұрын

    Thanks Mario! This is by far the best explanation of the subject I've seen to date. This helped me a lot.

  • @clairez.6051
    @clairez.60513 жыл бұрын

    i really don't know how to thank you sir, your video is exactly what I need for my final test, stay safe and good luck!

  • @slopcrusher3482
    @slopcrusher34822 жыл бұрын

    Thank you so much for teaching about sign analysis. I've watched 3 videos so far, and while they may be okay for simple factors, when you get into multiple factors for the numerator or denomerator it takes a lot of calculations to find where the line goes for each "quadrant" or each side of a vertical asymptote, and not many of them have examples with multiple asymptotes.

  • @natsibm2488
    @natsibm24883 жыл бұрын

    you are such a spectacular math's teacher I have ever had keep it up .

  • @chanelvu1266
    @chanelvu12663 жыл бұрын

    Thank you so so much professor, you are so good at tutoring!

  • @Deangund
    @DeangundАй бұрын

    You are genuinely saving my math grade single handedly

  • @malcolm5132
    @malcolm5132 Жыл бұрын

    Love the sign method, I'd never heard of it before. Thank you!

  • @thedeathofbirth0763
    @thedeathofbirth07633 жыл бұрын

    Asha, Mario has great videos on graphing polynomial functions. Review them and I am sure your question will look very simple afterwards.

  • @1nonlytorres757
    @1nonlytorres7573 жыл бұрын

    Thank you so much, sir! keep safe and God bless!

  • @mercyokoth1852
    @mercyokoth1852 Жыл бұрын

    The way i understood everything without struggling you explain so well thanks alot Sir

  • @btxtboys
    @btxtboys2 жыл бұрын

    this helped me alot during online classes, thank you sir!

  • @pedrogomez-jk2mm
    @pedrogomez-jk2mm2 жыл бұрын

    Thanks a lot Mario, great teaching

  • @Bamenglish5798
    @Bamenglish5798 Жыл бұрын

    This is so helpful! Thanks a lot!

  • @Chappy21
    @Chappy212 ай бұрын

    This video helped out a lot!!

  • @sujathakiran4212
    @sujathakiran42122 жыл бұрын

    Your explanation is too good and easy to understand. Thank you sir.

  • @yashaswikulshreshtha1588
    @yashaswikulshreshtha15882 жыл бұрын

    I love it because it literally covers entire graphing rationals

  • @charityrotich3287
    @charityrotich32872 жыл бұрын

    Am greatful coz my tr did pay attention to these details...Thank u 😊

  • @laurandaver9112
    @laurandaver91123 жыл бұрын

    Ur an excellent teacher , wish u were my actual teacher 🙂

  • @cameronkrewer1127
    @cameronkrewer11272 жыл бұрын

    thank you Mario math tutoring, your video is very easy to understand and you are the reason I will pass the test. You explain things much better than my teacher. Thank you sir and keep up the good work. :^)

  • @agentduckduckgoosetr9800
    @agentduckduckgoosetr98004 жыл бұрын

    Thanks I was really struggling on this topic.😀

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome!

  • @zoewood3601
    @zoewood3601 Жыл бұрын

    Saved me the night before my math test! Thank you!

  • @huzaifaali3969
    @huzaifaali3969 Жыл бұрын

    Thanks a bunch for giving me a new concept😃

  • @boblobster5126
    @boblobster51264 ай бұрын

    This man is a god. In just a 22 minute video, he was able to teach me everything my teacher couldn't in an entire week. Not only did he teach me everything, he also explained why, like at the 12 minute mark when he explained why you use the starting coefficient, instead of my teacher just saying it as fact. I went into this video fully thinking that I would fail my test tomorrow, and came out 100% certain that I would get a good score, thank you so much Mario.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 ай бұрын

    You’re welcome! Glad the video helped you. Good luck on your exam.

  • @boblobster5126

    @boblobster5126

    4 ай бұрын

    @@MariosMathTutoring I got a 98, that you so much man.

  • @_justchill777
    @_justchill7772 ай бұрын

    Thank you so much for these tutorials, they have saved my life over and over again

  • @MariosMathTutoring

    @MariosMathTutoring

    2 ай бұрын

    Great to hear!

  • @renziz9541
    @renziz95412 жыл бұрын

    thank you!

  • @rockyflavaa
    @rockyflavaa4 ай бұрын

    this guy is an amazing teacher, unlike mine who doesnt even allow calculators in the classroom 😭

  • @namankhajuria4058
    @namankhajuria40582 жыл бұрын

    Brilliant teaching skills. From India

  • @aidanl3105
    @aidanl31052 жыл бұрын

    best video on this topic by far

  • @gisellejung3567
    @gisellejung35672 жыл бұрын

    THANK U, YOU ARE AMAZING MAN

  • @itzzkundan
    @itzzkundan3 жыл бұрын

    Very nice step by step explained. I think you must make a list of all the types of functions in sequence. It will be very useful here for IIT JEE exam in India.👍

  • @nwzz2916
    @nwzz29163 жыл бұрын

    Thank you!

  • @KingShark-rh3nk
    @KingShark-rh3nk3 ай бұрын

    Thank you for the help. I was struggling a bit with this section, but this video was very informative and helpful. God bless

  • @MariosMathTutoring

    @MariosMathTutoring

    3 ай бұрын

    Glad it was helpful!

  • @peterczaja1669
    @peterczaja16692 жыл бұрын

    Thank you, I was falling behind in class but now I understand

  • @preeze7335
    @preeze73359 ай бұрын

    best of best tutors

  • @CaoMoloi
    @CaoMoloi Жыл бұрын

    You are such a geek Mario. Incredible stuff

  • @user-mu5oy7gk1d
    @user-mu5oy7gk1d10 ай бұрын

    You have saved me! I have a test tomorrow and before this, I was so confused but now I have got it! You are amazing!! Thank you so much

  • @MariosMathTutoring

    @MariosMathTutoring

    10 ай бұрын

    Happy to help!

  • @michaeldiaz6642
    @michaeldiaz66423 жыл бұрын

    Can you please make a video about finding/writing rational functions given the vertical asymptote, horizontal asymptote, and x-intercept?

  • @aupatrick
    @aupatrick8 ай бұрын

    Thank you very much. What a great explanation.

  • @MariosMathTutoring

    @MariosMathTutoring

    8 ай бұрын

    Glad it was helpful!

  • @IM_RAPIST
    @IM_RAPIST2 жыл бұрын

    man, I love u. Life saver

  • @blakebramford129
    @blakebramford1292 жыл бұрын

    thank you so much Mario

  • @yuvrajgrover1200
    @yuvrajgrover12002 жыл бұрын

    You are awesome thanks for the help

  • @via.jackson
    @via.jackson7 ай бұрын

    Thanks! You taught me everything I needed to know in 22 mins what my math teacher couldn’t in a week.

  • @MariosMathTutoring

    @MariosMathTutoring

    7 ай бұрын

    Glad I could help!

  • @menandrolapada1340
    @menandrolapada13402 жыл бұрын

    Good day sir. Very easy and crystal clear to understand your presentation. Can you please re-check the answer on the long method division (y=x-2)? Will it affect the graph, sir? Thanks again, sir.

  • @abdullahihilowle3117
    @abdullahihilowle31173 жыл бұрын

    I don't understand what it is or how you do it but you just explained this better than my teacher congrats.

  • @apsara445
    @apsara4453 жыл бұрын

    Informative

  • @elizabethmutale6331
    @elizabethmutale63313 жыл бұрын

    Thank you😊😊😊

  • @migs_frias
    @migs_frias3 жыл бұрын

    great!

  • @VIDHIjj14
    @VIDHIjj14 Жыл бұрын

    Thanks

  • @elisiemartinchirwa9397
    @elisiemartinchirwa9397 Жыл бұрын

    Thank you so very much this really helped

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Glad it helped!

  • @GZ_BIZ
    @GZ_BIZ6 ай бұрын

    You're a legend

  • @ixchel8772
    @ixchel87722 жыл бұрын

    just awesome

  • @yonasbiloye4346
    @yonasbiloye4346 Жыл бұрын

    thanks

  • @justachildofGod
    @justachildofGod3 жыл бұрын

    Thanks so much

  • @efrataanteneh4763
    @efrataanteneh47633 жыл бұрын

    Tank you so much

  • @julianblacksmith8539
    @julianblacksmith8539 Жыл бұрын

    omg u just saved me real hero

  • @Displ4c
    @Displ4c Жыл бұрын

    That is the cleanest board I’ve ever seen

  • @hamzebeshir6406
    @hamzebeshir64062 жыл бұрын

    hey, teacher mario first thanks of all but i have a question when your'e ploting additional points or using the sign analysis in the first example, you've used the plot additional points method so when taking values you took -0.9 and 2.9 and that's where i couldn't understand how are you taking these values???????

  • @simonyheyis821
    @simonyheyis8215 ай бұрын

    Wow 👌

  • @Anythin09010
    @Anythin09010Ай бұрын

    Thank you sir for helping me through my class

  • @MariosMathTutoring

    @MariosMathTutoring

    Ай бұрын

    You’re welcome. Glad to hear my videos have helped you.

  • @chanian3908
    @chanian3908 Жыл бұрын

    thankyou

  • @SoryuJ
    @SoryuJ7 ай бұрын

    Got my chapter 5 algebra 2 test tmr been binging your channel all day 😅

  • @MariosMathTutoring

    @MariosMathTutoring

    7 ай бұрын

    You got this!

  • @saachiyadav4739
    @saachiyadav47394 ай бұрын

    you are better than my professor

  • @hellohi1722
    @hellohi17223 ай бұрын

    I love you ur amazing

  • @jonathana9236
    @jonathana92362 жыл бұрын

    Thanks Mario very helpful! Any video where I know how to graph.......... F(x) = 3x^4 -10 ???

  • @menbiWelde
    @menbiWelde8 ай бұрын

    keep it up

  • @ashakirdak4897
    @ashakirdak48974 жыл бұрын

    Please answer of this question Y=(x-2)/(x²+3x+2) I have problem in positive side of x -axis

  • @apsara445
    @apsara4453 жыл бұрын

    Done

  • @nancydwyer4456
    @nancydwyer4456 Жыл бұрын

    Please check your long division on the third example. Should the slant asymptote be y = x + 1?

  • @akachanfukuro1747
    @akachanfukuro17472 жыл бұрын

    is it ok to use synthetic division instead of long division?

  • @jwmonkey0483
    @jwmonkey04833 жыл бұрын

    You make this easy, but how do I find things like the x-intercept and graph it when the numerator is -4? There’s no variable for me to get one The problem is -4/x2-4

  • @sallyfacefan321
    @sallyfacefan321Күн бұрын

    23:40 is it okay if the graph crossed the Oblique asymptote?

  • @inaayabintislam2590
    @inaayabintislam2590 Жыл бұрын

    I don't know why our teacher can't teach like u

  • @vaybrate
    @vaybrate3 жыл бұрын

    You just show me that math is epic

  • @brocklesnar8780
    @brocklesnar87803 жыл бұрын

    The best maths teacher ever Sir i also watched ur capacitor series Awesome 🙂🙂🙂🙂🙂🙂🙂

  • @theTSAguy
    @theTSAguy Жыл бұрын

    NOW....i finally get it

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Glad my video was able to help!

  • @MrMossadiq
    @MrMossadiq Жыл бұрын

    ❤❤❤

  • @rezescat780
    @rezescat7807 ай бұрын

    12:40

  • @user-yh2zd3xn1d
    @user-yh2zd3xn1d Жыл бұрын

    I Have A Test Tomorrow and i hope it's gonna help me in addition to God

  • @ericdotcom99
    @ericdotcom993 жыл бұрын

    Good tutor

  • @MariosMathTutoring

    @MariosMathTutoring

    3 жыл бұрын

    Thanks Eric! Glad my videos are helping you!

  • @ericdotcom99

    @ericdotcom99

    3 жыл бұрын

    @@MariosMathTutoring yes sir, can you kindly do this one for me |3x+1|-2 is less than or equal to zero

  • @dayanaraguzman4797
    @dayanaraguzman47973 жыл бұрын

    please teach my teacher

  • @Saad-up7lr

    @Saad-up7lr

    Жыл бұрын

    Hahaha! That's so depressing to say..

  • @liaver3148
    @liaver31482 жыл бұрын

    HOW DO I FIND THE POINTS ?!!

  • @neutronzz3543

    @neutronzz3543

    2 жыл бұрын

    Chose random points usually to the right and left so use like 2 and the opposite-2

  • @yabaliyu3418
    @yabaliyu3418 Жыл бұрын

    Why it is always simple?

  • @panashetigere3418
    @panashetigere34183 жыл бұрын

    Haaaaa mapedza masports mdhara pane kaSir kedu kepa UZ apo haaaa mahorror hakapedze bhora

  • @angelc5066
    @angelc50662 жыл бұрын

    i really didn't get it😭

  • @CaptainTass
    @CaptainTass7 ай бұрын

    It's all confusing as hell. I guess I'm just a dumbass.

  • @Steeeef2004
    @Steeeef2004 Жыл бұрын

    Lifesaver