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

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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.
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Опубликовано:

30 сен 2024

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Комментарии : 117

@camdenlippert3751 3 года назад

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

@metsielumeasso524 3 года назад

Well that makes 2 of us😅

@rustylarry7465 2 года назад

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

@mro7432 2 года назад

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

@unskxjsixy 2 года назад

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

@Lanoixsette Год назад

@@unskxjsixy real

@rocks813 3 года назад

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

@tacticalmistress 3 года назад

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

@comquatcash Год назад

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 Год назад

Wow, thank you!

@agentduckduckgoosetr9800 4 года назад

Thanks I was really struggling on this topic.😀

@MariosMathTutoring 4 года назад

You’re welcome!

@clairez.6051 3 года назад

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!

@laurandaver9112 3 года назад

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

@natsibm2488 3 года назад

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

@shirazqasmi5090 3 года назад

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

@Mercy-x8o Год назад

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

@vaybrate 3 года назад

You just show me that math is epic

@slopcrusher3482 2 года назад

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.

@namankhajuria4058 2 года назад

Brilliant teaching skills. From India

@chanelvu1266 3 года назад

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

@thedeathofbirth0763 4 года назад

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

@julianblacksmith8539 Год назад

omg u just saved me real hero

@itzzkundan 3 года назад

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.👍

@sujathakiran4212 2 года назад

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

@rockyflavaa 7 месяцев назад

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

@zoewood3601 Год назад

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

@mercyokoth1852 Год назад

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

@btxtboys 3 года назад

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

@michaeldiaz6642 3 года назад

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

@ashakirdak4897 4 года назад

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

@cameronkrewer1127 2 года назад

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. :^)

@charityrotich3287 3 года назад

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

@nancydwyer4456 Год назад

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

@malcolm5132 2 года назад

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

@huzaifaali3969 Год назад

Thanks a bunch for giving me a new concept😃

@renziz9541 2 года назад

thank you!

@sallyfacefan321 2 месяца назад

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

@yashaswikulshreshtha1588 2 года назад

I love it because it literally covers entire graphing rationals

@yonasbiloye4346 Год назад

thanks

@pedrogomez-jk2mm 2 года назад

Thanks a lot Mario, great teaching

@dayanaraguzman4797 3 года назад

please teach my teacher

@Saad-up7lr Год назад

Hahaha! That's so depressing to say..

@1nonlytorres757 3 года назад

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

@CaptainTass 10 месяцев назад

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

@boblobster5126 6 месяцев назад

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 6 месяцев назад

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

@boblobster5126 6 месяцев назад

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

@KingShark-rh3nk 5 месяцев назад

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

@MariosMathTutoring 5 месяцев назад

Glad it was helpful!

@inaayabintislam2590 Год назад

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

@blakebramford129 2 года назад

thank you so much Mario

@_justchill777 4 месяца назад

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

@MariosMathTutoring 4 месяца назад

Great to hear!

@Displ4c Год назад

That is the cleanest board I’ve ever seen

@jonathana9236 3 года назад

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

@hamzebeshir6406 3 года назад

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???????

@menandrolapada1340 3 года назад

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.

@saachiyadav4739 6 месяцев назад

you are better than my professor

@jwmonkey0483 3 года назад

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

@Shixye21 4 месяца назад

This video helped out a lot!!

@ericdotcom99 3 года назад

Good tutor

@MariosMathTutoring 3 года назад

Thanks Eric! Glad my videos are helping you!

@ericdotcom99 3 года назад

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

@SoryuJ 9 месяцев назад

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

@MariosMathTutoring 9 месяцев назад

You got this!

@aupatrick 10 месяцев назад

Thank you very much. What a great explanation.

@MariosMathTutoring 10 месяцев назад

Glad it was helpful!

@hellohi1722 6 месяцев назад

I love you ur amazing

@abdullahihilowle3117 3 года назад

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

@Anythin09010 3 месяца назад

Thank you sir for helping me through my class

@MariosMathTutoring 3 месяца назад

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

@peterczaja1669 2 года назад

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

@migs_frias 3 года назад

great!

@yabaliyu3418 Год назад

Why it is always simple?

@elisiemartinchirwa9397 Год назад

Thank you so very much this really helped

@MariosMathTutoring Год назад

Glad it helped!

@CaoMoloi Год назад

You are such a geek Mario. Incredible stuff

@Deangund 4 месяца назад

You are genuinely saving my math grade single handedly

@apsara445 4 года назад

Done

@GiftMlinde 2 месяца назад

Thenks sir u have helped me alottt!!

@MariosMathTutoring 2 месяца назад

You're welcome!

@apsara445 4 года назад

Informative

@epoch_ag 8 месяцев назад

You're a legend

@preeze7335 Год назад

best of best tutors

@akachanfukuro1747 2 года назад

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

@AnaiyahMalhotra Год назад

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 Год назад

Happy to help!

@via.jackson 9 месяцев назад

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

@MariosMathTutoring 9 месяцев назад

Glad I could help!

@panashetigere3418 3 года назад

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

@menbiWelde 10 месяцев назад

keep it up

@chanian3908 Год назад

thankyou

@simonyheyis821 7 месяцев назад

Wow 👌

@VIDHIjj14 Год назад

Thanks

@theTSAguy Год назад

NOW....i finally get it

@MariosMathTutoring Год назад

Glad my video was able to help!

@yuvrajgrover1200 2 года назад

You are awesome thanks for the help

@Bamenglish5798 Год назад

This is so helpful! Thanks a lot!

@aidanl3105 2 года назад

best video on this topic by far

@liaver3148 2 года назад

HOW DO I FIND THE POINTS ?!!

@neutronzz3543 2 года назад

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

@gisellejung3567 2 года назад

THANK U, YOU ARE AMAZING MAN

@MrMossadiq Год назад

❤❤❤

@angelc5066 2 года назад

i really didn't get it😭

@rezescat780 10 месяцев назад

12:40

@efrataanteneh4763 3 года назад

Tank you so much

@elizabethmutale6331 3 года назад

Thank you😊😊😊

@caseatt1e975 11 месяцев назад

thank you!!!

@MariosMathTutoring 10 месяцев назад

You're welcome!

@justachildofGod 3 года назад

Thanks so much

@ixchel8772 2 года назад

just awesome

@nwzz2916 3 года назад

Thank you!

@brocklesnar8780 3 года назад

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

@Steeeef2004 Год назад

Lifesaver

@IM_RAPIST 2 года назад

man, I love u. Life saver