How to Find the Horizontal Asymptote (NancyPi)
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- Опубликовано: 13 окт 2024
- MIT grad shows how to find the horizontal asymptote (of a rational function) with a quick and easy rule. Nancy formerly of MathBFF explains the steps.
For how to find VERTICAL asymptotes instead, jump to the video: • Vertical Asymptotes......
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The degree of a function is the highest power of x that appears in the polynomial. To find the horizontal asymptote, there are three easy cases. 1) If the degree of the numerator expression is less than the degree of the denominator expression, then the horizontal asymptote is y=0 (the x-axis). 2) If the degree of the numerator is equal to the degree of the denominator, then you can find the horizontal asymptote by dividing the first, highest term of the numerator by the first, highest term of the denominator. This will simplify to y = some constant (just a number). 3) If the degree of the numerator is greater than the degree of the denominator, then there is no horizontal asymptote.
For more of my math videos, check out: nancypi.com
Thank you. I have a condition known as PTSD and at 45 my brain is not as sharp/or memory as good so I have to work a little harder. You have been so helpful, very grateful for your service to the community. Thank you
Nancy, why is it that you can take a simple concept and make it simple, while my professor takes a simple concept and make it extremely difficult. IT'S BECAUSE MY PROFESSOR WANTS TO SOUND SMART!!! You, on the other hand are humble and good. You don't want to impress anyone, you just love math. So beautiful!!! Inside and out!!! YOU!!!
You took those words out of my mind, random person of the internet.
it goes both way. for me i see it someone wants you to learn thehard way because as you progress, understanding it properly make it easy for you extend it. another is just give you what you need to finish the problem at hand. so i will come to nancy's video and continue on prof's lecture.
visit Learnscape, any question on the limit you can solve. log(infinity) explained
We love you Nancy
You are absolutely right! Most of the classroom teachers are... they want the students to suffer when there are easy ways to approach them...
Okay but asides from the fact that she's a great teacher she's now reached the top tiers of awesomeness because of her ability to write backwards so perfectly
She is not writing backwards
@@MrMusicM67 she literally is lol
@@dustiistars9772 No, it is a reversed board lol. Look it up :) It's pretty interesting
@@MrMusicM67 oh my bad- I never heard of it lol that's pretty cool
@@MrMusicM67 it's not a reverse board. It's a regular transparent acrylic sheet on which gets recorded and mirrored during video production so that it's coherent. Host's face also gets flipped during production but it's not noticeable as our faces are perfectly symmetrical.
Nancy, your videos have assisted me greatly in my Business Calculus Class. You are able to break down the concept and problem in such an incredible way that people like myself who have struggled all my life to understand Mathematics can learn problems I never thought imaginable. Thank you!
you are amazing!! 😱i cant believe someone made it so simple.... now i look at my class notes and wonder if my teacher made it so complicated on purpose🤔
for real. I feel like he wants to make it harder to seem smarter
Yeah my teacher did the same and most of the class was confused. I understand that he just tried to explain the concept but it was unnecessary because it really made me worry😭
visit Learnscape, any question on the limit you can solve. log(infinity) explained
Such a great help for our exam tomorrow! I love how u write and explain. Thank you! ❤
i have failed one exam because i got these wrong, i wish i could go back, you have made it so easy
What the fudge. I know every student is different and learns differently but gosh I wish I had this kind of teaching in high school. I’m here struggling in college algebra ... in college. I have my exam tomorrow and youe videos are helping me so much. I wanna cry lol. Omg God bless you! Thank you!!! 🙌🏽
How in the hell are you writing backwards????
Edit: As a multitude of people have helpfully pointed out, she is writing on glass and then flipping it post-shoot. Thanks for all of the replies.
Mirror? 🤔 it's trippy as hell though
Just flip the video while editing.
Nancy just has that kinda skillz
@@FlyingUnosaur wow, can't believe I didn't think about that. Thanks Yoked
That's what I'm saying! She's got the skills alright! Seems a little unnecessary though. I guess that's just the thing that sets her teaching style apart.
Thanks alot, books and teachers tend to over explain such a simple concept.
Ricky for reals
All your videos are so easy to understand than the university I attended. You are so awesome and thank you for doing this. I used to hate Math but now I can fairly get along with Math.
I cannot believe it is that simple! Thank you so much!
Also, you are very skillful to be able to write backwards that well. 👍
Nancy is my favorite tutor; blessed skill and mind.
omg girl that was so easy to comprehend. I have not been in school for over 10 years. I'm back in school. Thank you!
Your way of tackling math problems is just amazing. Love you so much. You make math easy for me
I have my boards soon and you don't know how much this helped me, tnx a ton Nancy!!
Haleluja, I was watching 5 videos of this other guy explaining this and I still couldn't understand it. Thank you. all I needed in 5 minutes instead of 5x20 minute videos.
how is her voice so calming I just want to sleep now...
I come because i want to learn maths ,
but now maths doesn't matter any more ,
I come because of Nancy .
I have been seriously stressing over this stuff. Your videos have made this extremely easy to follow and understand!
Short and simple easy to follow. Thank you
NancyPi you are my hero! looks like you will be my real teacher this semester... Thanks!
Thank you. i was watching organic chemistry tutor, and he was explaining, and by just looking at u r thumbnail, i understood how to find horizontal asymptote
Ok but i love you. Uve made my life soooo much easier man. I really do...love you
Stop making things this easy it is starting to scare me
It shows your learning if it looks easy to you!!! It was hard before right? Now you truly understand
SIMP
@@nicopiazza5977 ....
@Nico Piazza you’re so cringe
@@nazombie7935 yeah but it also shows how stupid we are :(
You are the best maths 🤗teacher in the world 😍
Can you please make a video on explaining the graphs of horizontal asymptotes ?
Your teaching way is so good 😊
Thank you so much.Your 5 min video is way more better then couple of months in math function class.
love the quick rules that you used for HA's!
Literally have an assignment due in the morning and u saved my guts tysm:)
this is the best video for this subject . u're the best teacher i had ever seen.
I was not taught this and became confused in my final review. This ideas seems to be the only one I could find that didn't mess about and just explained it. By far the best video on this topic.
I’ve been wondering all through my math classes, “there has got to be an easier way to learn these things”. Thankfully, youtube made it possible for us students to see those ppl who found a simpler way to explain math!
i'm studying for my final and u just saved me. THANK U
You deserve a Nobel prize since you help the students overcome one of biggest rock in the way pursue a career or major; Maths.
You make Maths seem so simple. God bless you, Nancy for doing a good job
YOU OUT HERE SAVING LIFES 🙏
You're videos are always helpful. You're an amazing teacher
OMG! I have a quiz tmw. And I'm freaking out, but you made it so easy!!!!
It numerator power is just greater than 1 to the denominator power then there is still horizontal asymptote. First we need to find m and then we find (y-mx) which is equal to constant (a). So the horizontal asymptote is y-mx=a
Simple. Easy. You made my day
Thank you! I was on the verge of smashing my head on my bed out of frustration
Thanks a lot! That seemed much simpler.
Thank you so much from Norway and you made my day ;)
Thank you mam
Love from india 🇮🇳
Currently studying for a test, your videos are amazing! Thank you :)
day before a test i can only SAY GOD BLESS YOU 🙏
Your videos are getting me through my online class!
Thanks, NancyPi, you make Math so easy for me. Good job
Nancy Pi is my HERO!!!!!!!
ive watched this video like 15 times this semester. thank you
Wow, my textbook and professor made it so complicated. I love your video and you are excellent! I'm so glad I found you, may you have a successful and bright future!
Thank you Miss Nancy.. God Bless You..
you saved me before when I was in my algebra 2 class, you're saving me again in my precalc course over the summer (i forgot again lol). Thank you!
An hour and a half. That's how long one of my professors took to explain this to the class (the one that normally just sends us links to other professors on youtube instead of teaching us). Luckily I had already learned it in high school, so although I forgot since, it came back to me quickly. I guarantee that this video, if shown to the class, would have taught _at least_ 90% of them within these few minutes.
thank you SO much for this. i've been crying all morning not understanding horizontal asymptotes and this has literally saved my life
This helped me so much. Thank you!
Your videos are amazing, I have to take my algebra final on monday and i know im going to pass it because you explain these concepts in a way I can understand them.
I absolutely love how u make it so understandable ❤️💕💕❤️and so simple I absolutely love you 💖
I don't wanna mess with limits so i liked your video :) Cheers Nancy !
NancyPi saving my math grade AGAIN :D
you remind me of how much I love mathematics
I love you Nancy Pi💚❤️, thank you and thanks god for running into your videos , keep going your helping so muchhh
Clear and precise explanation
Amazing way of writing 🤩🤩
i had a 2 hours class , and couldn't understand anything .. now i understand the whole concept in 5 minutes
Amazing how you are writing that towards us!
thank u! u explained it so much quicker and easier than my textbook
Good Work. Learning made easy. Thanks.
I have a visual representation as to the three rules why they are the way they are:
1) top degree>bottom degree: in this case, as x gets arbitrarily large (which always happens on an infinitely large plane), the quotient (x/x2) becomes lightheaded, on other words, when approaching large values of x, the x squared on the bottom is always larger than the top, so it is approaching a 1/∞ case (an infinitesimal) that's why the graph approaches 0 but not quite zero, same as the property of 1/∞.
2) second case x2/3x2, same degree top and bottom, any term that is not the highest degree will be negligible in value once x reaches near ∞ (which, large x values will always be present on an infinitely big number line). So in this case, the leading coefficient matters a bunch, because as x gets arbitrarily large, the ratio of the large leading terms will be determined by the leading coefficients (∞/3∞) which is 1/3, but not quite, so it approaches horizontal lines in the ratio of the top and the bottom leading coefficients.
3) top being greater than bottom degree, this case, the bottom will get smaller the larger x values you put in. And again, any non highest degree terms will be negligible with high enough numbers, like adding 1 to 10000 is 10001, but approximated ten thousand, just as (10000+1)/(100+3) is 10001/103, approximately ~100. But as x gets larger, the gap between the top number and lower number increases because of the degree difference, so the value approaches infinity. For this, there is not defined asymptote, because the asymptote is located at y=∞, where the hyperbolas are gradually approaching. ( the asymptote exists but we can never see it, it's 'so high up' that it's undefined).
Boy you know damn well nobody can understand that type of thing man
Love your classes dear teacher Nancy ! Kisses 🌹💋👏👏👏👏👏👏👏👏
I honestly do like math; l don't like not understanding it, though, and your videos help me so much with that 🥰🖤
do a video on oblique ones too and on how to sketch out graphs better (also when we are asked to sketch them with asymptotes)
This video makes H.A. so much easier to solve. Thanks!
Thank you Nancy! You're the best
you know, i actually dont like math, but you have literally inspired me to pursue a degree in it 0-0
Very excellent explanation
Your tip to find horizontal asymptote really helped me. Now I don't have to get to the standard asymptote form.
you saved my life during quarantine. if it wasn’t for you, i’d fail algebra
Thank you very much. please keep up doing more videos. Really appreciated!!
GOD BLESS YOU NANCY!!!
Plz post more videos
Love your teaching Nancy
Thanks so much Nancy!
Thanks teacher Nancy ❤
you are such a life saver, thank you infinitely, like a verticle asymptote.
all i have to say is thank you for making this soooo simple:)
That is sooo simple, thanks alot saved my day
This helped so much ty bbg 🙏🏻
lol the ads at the start of these videos always pander to anxious students with bad instructors... like get outta my face, NancyPi is about to teach me exactly what I searched for
Thank you very much Nancy
JUST SAVED ME ON THIS TEST THANK YOU
How are u able to write backwards, that's crazy. And u write so neat and straight, mind blown.
Thank you so much you make maths so easy
You’re a lifesaver!!!!
Thanks for the easy explanation)
Great explanation!!! I am still going to practice the oblique or slate asymptote. Can you make a video on long division with equations?
Thank you Nancy
Thank you Nancy!!!!
excellent teacher Nancy, you earned more one subscribe.
you made me love math and have a dream to teach it to my learners to be the way you do it. stay cool
this video saved my life