How the hell is this cat not running on +10 mil subscribers already?? This concept is so lucidly and concisely explained that even a 7 year old can grasp it grasp it without breaking a sweat. Great video👌
The horizon line is an asymptote. You can see the horizon in the distance and say ima go to that point but as you get closer it gets further away so by the time you reach your original horizon line its moved further in the distance.
I'm a grade 8 and I confused with the part when you say because y will never be 0 the x-axis is an asymptote. If the y is never 0 shouldn't that really mean the y-axis is the asymptote? someone help me
Ah it might sound like what you are saying might be correct but try looking at the graph again. If it is approaching a y of zero but never touching zero, then the x axis is the line that the graph will never touch. Put it in another way, what is the equation of a graph that is a horizontal line exactly where the x axis is? It is actually y=0, since for every x value, y is 0. :) Hope it helped!
I thought it was possible for the function to intercept an asymptote, for example oblique asymptotes. Is it not possible for the function to pass through?
I don't get the part where u said that line can never have an asymptote.. what about a parallel line wouldn't they never touch? isn't that an asymptote?
The curve may pass through points on the asymptote. Consider this function : x/(1+x^2). Here the asymptote is the line y=0 (x-axis) but the curve passes through the origin.
Good question! If you want to confirm if the 'y' axis is your asymptote, you've gotta look for 2 things: 1) NO TOUCH! Make sure your graph never touches the 'y' axis. If the graph can touch the 'y' axis, then the 'y' axis is definitely not the asymptote. - The only way a graph can touch the 'y' axis is when x is equal to 0.. naturally because the 'y' axis itself is parked right on an x of 0. And since our graph cannot be an 'x' of 0, we know that our graph isn't touching the 'y' axis. So far so good! 2) MUST APPROACH CONSTANTLY! Just because the graph has no x value of zero it doesn't necessarily guarantee that the 'y' axis is its asymptote. We need to also observe that the graph gets closer to 'y' constantly. If it's getting closer and closer (infinitely closer) to the 'y' axis, while somehow still respecting the condition we talked about in #1 (that it doesn't touch the 'y' axis), then we've got ourselves an asymptote. - Notice how there nothing wrong with choosing a small positive 'x' like 0.000000000001. This would give us a point really close to an 'x' of 0. The y value would be at 1 trillion, and the graph to our eyes might even look like it's touching the 'y' axis, but it isn't for sure.. because we know that it's not an 'x' of 0. [Remember the only way the graph is touching the y-axis is if it can have a point at an 'x' of zero] So what if we made that 'x' even smaller? like 0.000000000000000000000000000000000000000000000001. We're definitely allowed to do that for this graph... nothing wrong with it! We know we would get way closer to an x of 0 now, making the graph really really really close to the y-axis. However, we also know that we are STILL not actually touching the y-axis. Imagine doing this process constantly, where we keep choosing 'x' values closer to 0, and realizing that we have a graph that clearly constantly gets closer to the y-axis, but at the same time cannot actually hit the y-axis. Running this experiment in a loop over and over again, in combination of our condition in #1 makes us see that the y-axis is in fact the asymptote!
why am i here? Inception > Inception Horn > Foghorn > How foghorns works > Mike Robers giant airhorn > why horns shaped like that > asymptotic curvature for impedance matching
If the definition of asymptotes is "a line that a curve approaches but never ever really touches", then just the fact that the graph y=1/x cannot have a point (y,0) is NOT enough to say x=0 is an asymptote. You just proved the graph of y=1/x doesn't touch the line x=0, you also have to prove, by your own definition, that the graph of y=1/x approaches x=0.
Can we just keep in simple by saying that when Y goes to +ive or - ive infinity the value of X remains same that shows that y is an asymptote and same with X
Simple for you might not be simple for the next person. Also, your statement is incorrect. As the function approaches positive or negative infinity, the independent variable x does not remain the same, it approaches zero.This video is one way of explaining and definitely a helpful introduction to asymptotes.
Reflection makes us all mature. A sorry goes a long way. A rhyme delivered without pay. We all think about what we say. But some of us also think about what we said.
The statement "an asymptote is a line that a curve approaches but never ever really touches" is incorrect. While this is true for vertical asymptotes, horizontal asymptotes can be crossed. For example y=sinx/x
I've learned more in this 2 minute video than I have in a hour class period
So the teacher was teaching u about asymptotes for one full hour?
@@madbb0147 for 2 weeks
honestly, same
LMFAO SAME
facts
I'm here because I'm high and I wanted to understand the deeper meaning to a particular song and I think I can get a good grasp on it now thank you!
Can you please give me the name to the song that says anything about asymptotes lmao?
@karolissad.4270A quick Google search suggests Asymptote by Trey Coachman
I like the visual presentation with the lecture, make things very easy to understand. Great guy, should have more subscribers
You explain it in a simple and easy way... I've learned a lot in 2.0 minute.
Wish i watched this before when i was a high school student.
Thanks teacher you are the best Math teacher i have ever seen in my whole entire life . With only two minutes ❤
PERFECT, simple (despite the concept of nearing infinity). Well said, well put. Nice job indeed young man. Many thanks.
This video makes me question how tf teachers are making money when RUclips exists
Thats what I'm saying 🫠
thats the neat part
they arent
mfs are in the lowest wage ever
Visual background and explanation was very clear, neat and precise.
Thank you.
I really liked the motto of Nerdstudy, well done video!
How the hell is this cat not running on +10 mil subscribers already?? This concept is so lucidly and concisely explained that even a 7 year old can grasp it grasp it without breaking a sweat. Great video👌
Im from germany and understood it here better than in my german school. Thanks
sir thanks for clear and cut video. pls upload more videos on asymptotes
We've got more coming all the time and tons more on our website! Thanks!
Nerdstudy fast bro
a
b
c
Awesome vid! Deserves more views and subs
Thank you!!
true
I was stressing cuz I didn't get it, we need more RUclips channels like this keep it simple
Made my project 10000000 times easier. THANK YOUUUU :)
found another channel that deserves a lot of subsciberss
Great video. Keep it up and you will be famous.
i like the end parts, where they tell you why it's useful and why you need to it.
The horizon line is an asymptote. You can see the horizon in the distance and say ima go to that point but as you get closer it gets further away so by the time you reach your original horizon line its moved further in the distance.
I'm a grade 8 and I confused with the part when you say because y will never be 0 the x-axis is an asymptote. If the y is never 0 shouldn't that really mean the y-axis is the asymptote?
someone help me
Ah it might sound like what you are saying might be correct but try looking at the graph again. If it is approaching a y of zero but never touching zero, then the x axis is the line that the graph will never touch. Put it in another way, what is the equation of a graph that is a horizontal line exactly where the x axis is? It is actually y=0, since for every x value, y is 0. :) Hope it helped!
@@Nerdstudy ohhhhhh srry I just misunderstand thank you so much for replying now I'm able to go on😋
@@bryankim5595 Good job!!
I am in grade 6 and i am doing year 10 math lol
@@holypanda9328 That's excellent! Keep up the good work!
i love this channel , pretty cool stuff
Your explanations are pretty lucid..... Pretty good videos.
Damn! That means a lot to us!
But have you ever lucid dreamed before? That is the question.
@@Nerdstudy yeah once or twice maybe
@Adnan Manzoor Tell us honestly. Maybe we'll do a video on lucid dreaming and have you in it if you're for real.
@@Nerdstudy if you guys could do a video on relative motion that would be great help.
Hey, you mentioned domain and range video, but I can't find it
Clearly explained…subscribed. Thx
amazing video bro, u just earned a sub and like
superb!!!!!!!!!!!! Clear-cut idea of an asymptote!!!!!!!!! :)
Thanks for the simple explanation!
Thanks you so much, I have really understood asymptotes now.
You are most welcome
your channel is great and super helpful but how far do you think you'll go with a name like nerdstudy??
I thought it was possible for the function to intercept an asymptote, for example oblique asymptotes. Is it not possible for the function to pass through?
I don't get the part where u said that line can never have an asymptote.. what about a parallel line wouldn't they never touch? isn't that an asymptote?
Sir The number of asymptotes to an algebraic curve of the nnth degree cannot exceed ? why
I understand y being the asymptotic but how is x the asymptot?
The curve may pass through points on the asymptote. Consider this function : x/(1+x^2). Here the asymptote is the line y=0 (x-axis) but the curve passes through the origin.
This is not exponential function
Very well explained. Thank you!
This is good quality content right here
thanks dude, so brief.
"Brevity is the soul of wit" Polonius [from Hamlet]
Great intro
Amazing 🤩 really thank you ❤️
Make more videos on Basic Algebra.
wouldnt a parallel line be an asymptote?
Thank you soooo much!!
Glad it helped!
that song in the intro hits
Good video
quick and simple! tyyy
What are holes?
there's just one or 2 things wrong..
how do the asymptotes become wider or narrower or translate left, right, up or down?
How did you figure out that the y axis is an asymptote? How does the fact that X cannot equal zero prove that?
And great video! I loved the style. Im taking a college algebra course and this helped me a lot.
How? Could you help me out?
Good question! If you want to confirm if the 'y' axis is your asymptote, you've gotta look for 2 things:
1) NO TOUCH! Make sure your graph never touches the 'y' axis. If the graph can touch the 'y' axis, then the 'y' axis is definitely not the asymptote.
- The only way a graph can touch the 'y' axis is when x is equal to 0.. naturally because the 'y' axis itself is parked right on an x of 0. And since our graph cannot be an 'x' of 0, we know that our graph isn't touching the 'y' axis. So far so good!
2) MUST APPROACH CONSTANTLY! Just because the graph has no x value of zero it doesn't necessarily guarantee that the 'y' axis is its asymptote. We need to also observe that the graph gets closer to 'y' constantly. If it's getting closer and closer (infinitely closer) to the 'y' axis, while somehow still respecting the condition we talked about in #1 (that it doesn't touch the 'y' axis), then we've got ourselves an asymptote.
- Notice how there nothing wrong with choosing a small positive 'x' like 0.000000000001. This would give us a point really close to an 'x' of 0. The y value would be at 1 trillion, and the graph to our eyes might even look like it's touching the 'y' axis, but it isn't for sure.. because we know that it's not an 'x' of 0. [Remember the only way the graph is touching the y-axis is if it can have a point at an 'x' of zero] So what if we made that 'x' even smaller? like 0.000000000000000000000000000000000000000000000001. We're definitely allowed to do that for this graph... nothing wrong with it! We know we would get way closer to an x of 0 now, making the graph really really really close to the y-axis. However, we also know that we are STILL not actually touching the y-axis. Imagine doing this process constantly, where we keep choosing 'x' values closer to 0, and realizing that we have a graph that clearly constantly gets closer to the y-axis, but at the same time cannot actually hit the y-axis. Running this experiment in a loop over and over again, in combination of our condition in #1 makes us see that the y-axis is in fact the asymptote!
Thanks!
Are You Going to make more videos on college algebra ideas (Specifically functions)? If so ill sub!
Thanks! Subs already!
Sir when in the first graph X or Y would be zero
why in the world dont you have more subscribers
THANKS FOR THIS
Thanks
Thank you.
thankkkkkkkkk you. better than bright side by 1000000000%
why am i here?
Inception > Inception Horn > Foghorn > How foghorns works > Mike Robers giant airhorn > why horns shaped like that > asymptotic curvature for impedance matching
Thanks sir
Thanks a lot! Let's hope I won't fail my maths test
subscribed.
I subbed as tribute.
What is asymptote
Omg ur so cool 🎉❤❤❤❤
Thank a lot ! You saved me xD
a curve approaches it but never touches it
*great* !
Thanks ^_^
If the definition of asymptotes is "a line that a curve approaches but never ever really touches", then just the fact that the graph y=1/x cannot have a point (y,0) is NOT enough to say x=0 is an asymptote. You just proved the graph of y=1/x doesn't touch the line x=0, you also have to prove, by your own definition, that the graph of y=1/x approaches x=0.
i love u so much u have no idea
Thank you for speaking slowly.
Yeah? Then what is 1/infinity?
zero
Can we just keep in simple by saying that when Y goes to +ive or - ive infinity the value of X remains same that shows that y is an asymptote and same with X
Simple for you might not be simple for the next person. Also, your statement is incorrect. As the function approaches positive or negative infinity, the independent variable x does not remain the same, it approaches zero.This video is one way of explaining and definitely a helpful introduction to asymptotes.
thank you asian dude with giant head
You did dirty to him
subscriber +++
fuck sake doesn't this deserve more likes? it was well explained
BIgman 0909 RUclips algorithm :/
There is an asymptote to linear graph, you are wrong. y=x is asymptote to y=x
(sorry if you take offense, I feel bad now. Friend told me to write this. Sorry.)
Reflection makes us all mature. A sorry goes a long way. A rhyme delivered without pay. We all think about what we say. But some of us also think about what we said.
🤯
succinct
why is he built like steve from minecraft??
i am here because Gojo is an asymtote
The statement "an asymptote is a line that a curve approaches but never ever really touches" is incorrect. While this is true for vertical asymptotes, horizontal asymptotes can be crossed. For example y=sinx/x
1:22 1:44 when bi people explain why single
I find indian on each and every video i watch
😀🤕
NO EYES
a little bit of eyes
PLUNGING ASYMPTOTE
among us
I hate math
Thanks
thanks