Horizontal and Vertical Asymptotes - Slant / Oblique - Holes - Rational Function - Domain & Range

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This math video tutorial shows you how to find the horizontal, vertical and slant / oblique asymptote of a rational function. This video is for students who might be taking algebra 1 or 2, precalculus or calculus in high school or those who might be taking college algebra in an university. This video contains plenty of notes, examples, and practice problems for you to master the concepts.
Fundamental Theorem of Algebra:
• Fundamental Theorem of...
Rational Expressions - Basic Intro:
• Rational Expressions -...
Simplifying Rational Expressions:
• Simplifying Rational E...
Multiplying Rational Expressions:
• Multiplying Rational E...
Dividing Rational Expressions:
• Dividing Rational Expr...
______________________________________
Adding & Subtracting Rational Expressions:
• Adding and Subtracting...
Rational Expressions - Unlike Denominators:
• Adding and Subtracting...
Simplifying Complex Rational Expressions:
• Simplifying Complex Ra...
How To Solve Rational Equations:
• Solving Rational Equat...
Rational Equations - Extraneous Solutions:
• Extraneous Solutions o...
_____________________________________
Horizontal and Slant Asymptotes:
• Horizontal Asymptotes ...
Finding Rational Functions Given 2 Points:
• How To Find a Rational...
Rational Functions - X and Y Intercepts:
• How To Find The X and ...
Graphing Advanced Rational Functions:
• Graphing Advanced Rati...
Rational Inequalities:
• Rational Inequalities
________________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Domain and Range - Formula Sheet:
bit.ly/4eheN2W

Опубликовано:

28 сен 2024

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Комментарии : 619

@TheOrganicChemistryTutor 9 месяцев назад

Domain and Range Formula Sheet: bit.ly/4eheN2W Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Functions and Graphs: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-ZTEv8OnGaxo.html Transformations of Functions: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-tyQLp6x-GoU.html Graphing Polynomial Functions: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-rOOefdqMvtA.html

@ianraulguevara5446 9 месяцев назад

the fact that this was posted 10 days ago>> thanks for the dedication

@Beanies-tf1sn 9 месяцев назад

Thank you❤

@jin_cotl 3 месяца назад

@@ianraulguevara5446bruh

@swag-xn4rk 4 года назад

how does this man know like every topic

@swag-xn4rk 4 года назад

NICHOLAS DZIEDZIC yea prob

@jaleelbarnes7142 4 года назад

I was thinking the same shit lmaoooo

@RayxaxD 4 года назад

med school probably

@w00gedyb00gedy 4 года назад

Being knowledgeable in many topic comes with hard work. But being able to explain it all as clearly and succinctly as he does, that’s a gift.

@thatmst5791 4 года назад

I think he takes extra tuitions after school 😂

@dengosodawg 5 лет назад

25:18 for those just looking for help with slanted asymptotes. Also thanks for making this!

@SameerKhan-zu2kj 5 лет назад

Thanks so much

@alexzepeda6471 3 года назад

ur a god for this lol tysm

@patatespuresi1591 2 года назад

king

@arathi2501 2 года назад

Thank you

@pinecsne Год назад

ty!!

@azoz8sultan 5 лет назад

whaat still searching youtube for math help.....

@chrisashe9976 5 лет назад

Are the videos from 2006 really helping?

@EtherealWorlds49 5 лет назад

Arent you tired of finding videos that arent getting you anywhere in math class

@a6-stringsand4eyes51 5 лет назад

Does this day sound familiar? You go to a confusing lecture......

@BookishAlexis 5 лет назад

Some teachers/professors suck at teaching.....

@nilepluss644 5 лет назад

They dont know most math are one thousand year old and same

@mya8254 4 года назад

Litterally thirty minutes before a test I found this, dude this was so helpful

@harmanjotsingh4230 4 года назад

Same here studying half hour b4 midterms

@garybuttherissilent5896 2 года назад

fools

@arjunb.singhal7308 3 года назад

I love how you teach by doing increasingly challenging examples. Keep up the great videos!

@andrewsmanifest9201 6 лет назад

YESTERDAY my lecturer was teaching it like it was quantum physics but man you made it look like binary operations

@hannahhighway2368 4 года назад

BLESS YOUR SOUL. Gots a quiz tmrw and my teacher was busy talking bout video games when I needed help.

@babynaturallia7678 4 года назад

Your a great teacher. I understand the topics better when I come here but tbh I also think I'm addicted to your voice. Very soothing.

@carterbaldwin4091 5 лет назад

This saved my ass it's my teachers first year teaching this in high school and hes still getting the hang of teaching this stuff

@princeali4080 4 года назад

We owe you a lot! Amazing teacher! At 8:05 you stated that -1 + 7 = -6. You graphed it correctly but it should have been positive 6.

@bethelmesfin5301 3 года назад

correct.1/-1+7+6,its like a/b+c/d=ad+bc/bd.we use it to make the denominator the same inorder to - or +.I know 🤯 but,try to use some numbers,

@mark760 Год назад

@@bethelmesfin5301 so thats how it works

@butterbear934 2 года назад

I am reviewing for my entrance exam for college and you are helping me a lot. Thank you so much for existing

@ridewithkay 5 лет назад

You r a live saver man u reminded me how to do long division, synthetic, partial fractions etc tq so much man

@adeenaM6816 3 года назад

You just know everything. You are the only teacher who is very very talented! I only watch your lecture

@davegoodo3603 2 года назад

Your videos are very helpful to me, but I noticed an error @8:00 mins where you said -1 + 7 = -6, it should be +6, which has a cascading effect. But I'm still watching, your style is helpful.

@siireren2211 3 года назад

The Organic Chemistry Tutor is my tutor for maths, chemistry and physics.

@Kai-kx2pf 2 года назад

Missed a few day of school and had to learn this myself… fffffff

@shayanali7558 2 года назад

thanks for saving my assignment grade

@danaomarkjhonm.3308 4 года назад

this is helpful especially today where students can' go to school due to this pandemic

@MediaHootLLC 5 месяцев назад

2024 and you're still helping people like me!!!

@richardadamwais9734 Год назад

THANKS FOR THE VIDEO TUTORIAL IT WAS CLEAR FROM DJIBOUTI

@jett6865 5 лет назад

EXAM TODAY; thanks for the help 💯👍

@STWMEMES 2 года назад

This man is specified as special human

@GabrielRodriguez-fp5gw 5 лет назад

Your videos are the best, thanks to you I didnt fail AP Physics and understading AP Calculus is easy

@scp1210 2 года назад

Thanks for your video. At 30:40, your graph should not have any intersection with x-axis as there is no real root for 2x^2-x+1=0.

@kozamohamed1666 3 года назад

Always you safe my mark over 90 Math 20-1Ap

@omidnasser2532 5 лет назад

I got my final this friday so I gotta watch these videos on every single unit again, because I basically forgot everything....

@sarennawood1332 5 лет назад

my final is tomorrow im screwed

@omidnasser2532 5 лет назад

@@sarennawood1332 Good luck

@sarennawood1332 5 лет назад

Omid Nasser it’s in less than an hour pray for moi

@omidnasser2532 5 лет назад

@@sarennawood1332 how'd it go?

@Lepibel 4 года назад

bit late, but how'd it go?

@Kellysg126 8 месяцев назад

You are a legend, thank you.

@kayula. Год назад

SHOUT OUT TO THIS BROTHER

@ryanhoward7665 3 года назад

Thank you so much for existing😅

@DefineDelayZ 2 года назад

Taught me better than my math teacher ever could

@fullyrock8344 14 дней назад

My saviour tbh

@ariaahmed3130 3 года назад

Assalamualaikum. For 15:42 how should we know when to get the x and y intercept or just take x as -1 like the previous questions ? thank you

@garybuttherissilent5896 2 года назад

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@LemonSquueeze 6 месяцев назад

Awesome video but needed that domain and range for last one

@Hdhugeo234 7 лет назад

great video but you should consider when the graph is able to cross the HA since the graph of a rational function can have a hole but it does not have to pass through it.

@edwardthom4896 5 лет назад

Thank you. I especially liked the slant asymptote explanation.

@ifykyk5059 Год назад

only reason im stayin alive

@jordanrichardson2367 4 года назад

This made things so much easier 😭

@mimi-rq6rq 4 года назад

This man just saved my grades

@Theo-iw6ym 2 года назад

God bless you bro 💯

@teamjuanelias 3 года назад

My man! Makes perfect sense !

@ShadrachKapatemo-wg2vb 9 месяцев назад

In the last example were did the points come from, for you to plot that straight line? Please explain.

@manatotakahashi5530 4 года назад

How is this guy teaching maths brilliantly when he doesn't even call himself a math teacher

@priyanshsaxena5147 2 года назад

thanks this helped me a lot

@javeriamehmood3490 2 года назад

Quite Helpful

@ratboy9706 7 лет назад

When you long divide by a factor (namely (x - 2)) and you get a remainder, it is not a factor of the equation. So instead of there "probably" not being a hole in the equation, you just proved that there definitely wouldn't be.

@generalgrievous3731 4 года назад

Yeah that part was kinda redundant

@olaayman1900 3 года назад

thank you

@insanegolz4193 Год назад

My boy said -1+7=-6

@kitetenjo4246 3 месяца назад

We don't talk about it 😂

@Jaguar_Uche 2 месяца назад

He still uses the right figure for the graph 😂

@hitseyom9912 Год назад

Thanks

@huiyenlo2461 4 года назад

at the time 22:51 -- I calculated the zeros x= -1/2 however you plot the curve touching around 1.5 as a zero. I just wanted to check if you were doing the rough sketch or I was calculating it wrong on Zeros for this problem. Thanks advance.

@jake-the-almighty1320 5 месяцев назад

This is the only reason I am not failing high school

@Ruth-rp2so 3 года назад

As always thank you so much

@symphonyofsolidarity 9 месяцев назад

Thank youuu ❤❤❤❤

@milknight5181 4 года назад

this saved me, thank you

@robelgirmachew5374 4 года назад

in the last example there is no zero for the function but when you graph it you cross the x axis

@jackal3578 5 лет назад

Such a great review!

@RayxaxD 4 года назад

you are great at teaching thanks!

@shapkofil4708 3 года назад

8:50 1/-1 + 7 = 6

@spooki5556 2 года назад

8:00 did you write that -1 + 7 is -6?? Isn’t it 6. Im confused

@vinayjangra1401 3 года назад

Great vdo ❤️❤️👍👍

@LU-dm7kj 3 года назад

great tutorial. thank you very much :)

@lenafischer404 4 года назад

since when is -1+7=-6

@danidani7045 5 лет назад

Thank you Sir!

@zubairahmed-zo9jm 3 года назад

Sir, how do you know all topics, please guide us

@GregorySerrano1986 3 года назад

Why does Desmos interpret holes as vertical asymptotes? That confused me really bad when I graphed a rational function that had cancelling factors (holes), but the calculator put an asymptote there... :(

@rownd_f5343 9 месяцев назад

I love you!

@emxekiel3311 4 года назад

At 8:04, shouldn't it be +6? You graphed it right, but the y-value should be positive 6

@Yaya-ku3cf Год назад

Appreciate the vedio

@luisalbertbrinas6140 4 года назад

What's the domain and range of the final equation?

@FrankNyambo-di5mo 5 месяцев назад

Bro u've brains..

@honeygrace2134 5 лет назад

25:11 I wonder why it's (1,2)? Shouldn't it be (2,1)? The coordinate of the hole.

@simeontinkov4939 4 года назад

even though i'm in 9th grade my teacher said that it doesn't really mater

@fuego786 4 года назад

question, if i have a polynomial, not in a fraction, how should i do this? denominator 1? example: -2x(x+3)^2

@KARL-kw8oo 3 года назад

27:45

@misheckkunda4171 2 года назад

On the second example how is -1+7=-6

@jacktagemose3933 2 года назад

how do you find the domain and range when u have a slant asymptote?

@ananyabadgayan3133 3 года назад

This is lit!

@GoodnewsPromise-p7w 2 месяца назад

Why should we plug in - 3 for the third example instead of using the points for the intercept on Y axis. Am comfused😂

@yogamayaa 4 года назад

kindly tell me the domain and range for the last q

@bbanu897 5 лет назад

why for some of the example you find x instercept but for other example use the vertical and horizantle asymptote 🤔 nice video ❤️

@roronoazoro8972 4 года назад

For what year is this

@annam9215 10 месяцев назад

17:15

@jin_cotl 3 месяца назад

8:04 you mean 6? -1 + 7 =6 Even though he wrote -6, the graph was at 6, nice

@sheepy1283 2 месяца назад

Hi guys how to determine the turning point of the graph?

@shafiqsalimi6722 2 года назад

-1and 7 does not equal -6

@mylifeiswild 8 месяцев назад

*You saved me passing every exams* *thanking you is never enough* 🥺🫀

@jin_cotl 3 месяца назад

12:32 where did 6 on the left screen go? 🥲 Oh I think he removed it because we’re trying to get X on its own, so we can find what x is 😊

@d.ori19 6 лет назад

Quite frankly you are the only reason I’m passing college

@ath9558 5 лет назад

@George Godson we are learning it again and it comes up alot so :)

@chufengxilin9869 5 лет назад

@George Godson when you reach college, your teacher will recall everything you learn

@chufengxilin9869 5 лет назад

@George Godson its called applying what you learn or application.

@carefull8365 5 лет назад

George Godson if u forget....

@trevorbaker7168 5 лет назад

George Godson you relearn it in college bud

@phoebe9194 5 лет назад

dude you have a video for literally everything youre the reason im passing math and physics and passed chem last year

@mathswithjosh8104 4 года назад

hi you can learn more in this channel: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-6veKRuZlKQo.html

@schrodingersgunna6390 3 года назад

Chem tank

@cooper3220 8 лет назад

At 8:05 you stated that -1 + 7 = -6. You graphed it correctly but it should have been positive 6.

@seanwells1672 7 лет назад

OHH thank god for clarifying - busting an all nighter trying to learn all this and that part made me thought I should sleep instead... Nonetheless, knocking that quiz out tomorrow thanks to this video.

@saedisaga7860 6 лет назад

u are right, but thnks to the lecturer after Allah,

@ibrahimshafi2064 5 лет назад

Ye however the graph would basically be the same sketch as positive 6 still below the horizontal asymptote (7)

@myleneencina3045 5 лет назад

yah you're right

@vanezzasutit5114 4 года назад

I almost questioned everything I've ever known

@antiquarian1773 7 лет назад

lol you cover every thing I do in class, and you teach it better than my professor who has a masters degree.

@ahmadsa5601 6 лет назад

Joshua The Science god Trueee

@TheDaniellouis 5 лет назад

Doesn't it bother you guys that professors don't need to have PhD's or be PhD candidates at the very least?

@ProdSwelly 5 лет назад

Daniel Louis why need a PhD if that’s what there doing

@adamarzate1533 Год назад

I had to take a break to say that you are single-handedly the reason that I have hope that I can actually understand math now. sincerely thank you for your service!

@yenaju6309 4 года назад

why is his voice soothing like it doesnt annoy me that im doing math bc his voice is really nice and calm to listen to

@aseeljust7886 5 лет назад

I don’t know why I have to pay to college🙃 You are the greatest teacher I have ever know god bless you ❤️😍

@lamedev1342 2 года назад

If anyone got confused at 13:30 you can just do -18/4 and you will still get -4.5, he just broke the fraction down.

@akshatgupta2233 3 года назад

Watching in 2021 😁😁

@ethanhong6179 4 месяца назад

2024

@anongamercatlover2196 2 года назад

my dude you taught me more about algebra than any of my math teachers throughout high school combined, and u are the only reason I'm barely passing my college math class. I'm going to leave you everything in my will.

@rronin820 6 месяцев назад

Can I get some of that

@Cartoonandanimelove1 5 лет назад

Thank you SO much. The only reason I'm passing my STEM classes. Professors in college can't teach for their life lol. You make things so simple and straight forward. And you speak clearly too. I've been watching all your videos.

@bjap1563 3 года назад

Faculty nowadays are like your typical company employee. No difference like you should figure it out on your own. And then they will take credit on your good performance.

@frosting_flakes Год назад

sound slike you have a littke bit of a freaking crush lol big nerd momemnt coming freom you lamo lmfao idiottt!!!!!!!!!!!!!!!!!!!

@linaabbas3032 Год назад

I'm definitely failing calculus 1 tomorrow 😖

@williebarclay4222 5 месяцев назад

Did u pass ??

@6ontleitumeleng633 4 месяца назад

@@williebarclay4222 wow🤣

@panutdachasombat4599 5 лет назад

I'm a third year accounting student in Thailand , don't know why but i have to enrol the General Mathemetics1 subject. I had drop this subject at second year but to graduate I have to pass this subject anyway. Im so stupid at Math and don't have a good basic unlike other student in the class, they all so good. On the other hand I have no idea what the teacher talk about especially Asymtote things so i go to ask teacher but he explain me like I'm a genius of mathematics so i decided to learn by myself, i search video youtube that teaching about the asymtote things in Thai but still don't get it, so I have last choice it is your video which is in English. I'm afraid that I might not get it but amazingly I get it because you taught so clear and so easy to understand. THANK YOU SO MUCH FOR UPLOADING you can (my goal is to don't get F) p.s. I will update the exam score later.

@hannahhighway2368 4 года назад

Panutda Chasombat I want to know how your exam went:)