This is why I like these videos over classroom lectures. Too much "hand wavy" math goes on there. I need my hand held the whole time, thank you Mr. Khan!
You are one of the best in the World. Thank you for your idea. It helps to understand the world we living in, and hop that we one day can live without War IN Harmony and Peace ONE DAY. Knowledge is the key for that.
The upper degree will either be greater or less than the lower degree and in that case if its greater there is no Horizontal asymptote if its less the HA will be zero.
Actually your explanation is complex a bit but it shows all the steps and why this and that become the answer, I suggest you making a video of a lesson with different explanations for different skill learning level and i think this will be very helpful. Thanks a lot for your efforts 👍👏👏👏
This is very interesting, other videos show these with examples simple enough to just set the denominator/s to zero. You mentioned it clearly that not every value for a variable, for which the expression goes undefined, is also an asymptote itself. And also quickly explaining relevant but maybe overseeable topics like qualifiers helps alot. This is the depth I'd rather like to understand in than the depth of maths being taught in school. Thank you very much.
Sal Khan is a life saver. Much better teacher than Ms. Cornett, who decided it was better to play 2 truths and a lie rather than go over the summer review packet on the first day of school :) And We've got an exam tomorrow :DDDDD. THANKS MS CORNETT
The easiest way to figure out the shape of the function is to look at the factoring used for the vertical asymptote. This shows in the numerator that the function equals 0 only at 9, since 9 is greater than 3, and 0 is less than a 1/2. We know that it approaches 1/2 from below on the right of the asymptote and from above on the left
Why would the function be undefined in two places? At x=-3 the function value would be 0/0 which is 1 what's wrong with that? It fits into your sketch as far as I can estimate things... Please explain!
Jayrold Amoggao limits. Extremely useful in advanced physics, and used to a degree in more basic 1D motion. Also, calculus. It's an entire field of math dedicated to limits.
Yeah, and I don't know anybody else who can explain Bitcoin geometrically better than you - like linking all the blockchain records together to show movement of money. That kind of video is needed for all those people who's having difficulties of understanding Bitcoin (that's the reason why they don't use it)
Hey Khan, can you finish/add to your differential equations playlist? You don't have anything on Power Series, Ordinary, Singular and Regular Singular Points or Fourier Series. It'd be great if you could do a bunch on this. Deciphering DiPrima and Boyce's book is a real pain.
Rosa s This is advanced high school levels of maths, not meant to be easily understood outside of school teaching and certainly not without previous experience. Saying that, try applying his working to other questions, helped out a lot for my work at Scottish college level. Of course feel free to discard this comment, it is youtube after all
Clearly you understand the content but you take forever to explain one question. A good tutor is able to get their point across to their students. An excellent tutor can get their point across both effectively and quickly.
and hes saying that x = -3 is wrong when you solve that equation. lmao. he even explains it after he factors out the equations. he says that x = -3 is where the function is undefined. that x = -3 is called a hole. thats why he says the the setting the denominator's equation to 0 and solving for x will not be the correct answer.
C'mon, Khan you know that we're all expecting you to make more Bitcoin videos of the other level. How about making some explanatory video in a kids style like (by showing visually limited amount of the Bitcoin money) "Here's the digital blocks that we need to protect with the keys, imagine that this geometrical room is all of the world Bitcoins - now look - if somebody claims to have 1 million of BTC, that takes too much space" - or you can use examples as an earth, to explain that purchasing 100 BTC is like purchasing New York city for cheap 300 years ago. You know, something like that. We're like a kids - we don't need complicated stuff. At least sometimes make something simple.
Thank you Sal for singlehandedly saving my math grade for the last 3 years
He explains in 10 minutes what takes my professor over 1 hour. No wonder people get so bored in class
Where is Mr. Khans Noble Prize God Damn it!!!!!
Helped me get into college algebra.
language
Someone get Mr. Khan a Fields Medal.
Vertical asymptotes at 4:24
I read this comment when I was at the 4th min :)
He teaches an easy topic in the most complicated way possible
No shit....I didn't even finish the video
well your dumb af
Ethan Palinkas If you’re gonna be calling someone dumb it would be a good idea to have basic grammar skills first
lol its pretty easy but whatever
No Name your?
The same voice in most of Khan's video...you should be a genius knowing all subjects!
He is the creator and founder of Khan Academy his name is Salman Khan/ Sal Khan
My teacher “taught” this in 1-2 hours, and sir you explained it much better in just 11 minutes. Thank you so much!
khan academy is smart....khan academy has brain...thank you mind people!
Thank you!!! I have a calculus packet due and a test on Friday, this is a lifesaver!
im in algebra 2 and i do this...
@@bradybiesterfeld2706 Math repeats a lot. They teach the same stuff over and over and just add little by little.
Menue I’m in algebra 1.....
This is why I like these videos over classroom lectures. Too much "hand wavy" math goes on there. I need my hand held the whole time, thank you Mr. Khan!
Can we take a moment to appreciate Mr.Khan helping us through math class?
You are one of the best in the World. Thank you for your idea. It helps to understand the world we living in, and hop that we one day can live without War IN Harmony and Peace ONE DAY. Knowledge is the key for that.
parenting is the key for peace in the world
AlfaHanen1 don't you thing you are over reacting a little bit?
Irfana Khanam a little is not too much or over
Khan Academy is the best one as far as I know. Thanks.
yo this helped me out a lot, teacher confuses me prob cause I zone out easily
AddctFrk14 do you also zone out in English class?
Jk I'm just giving you shit lmao
Did you graduate now ?
horizontal asymptotes: what happens if the highest degree terms are not the same on the numerator and denominator?
The upper degree will either be greater or less than the lower degree and in that case if its greater there is no Horizontal asymptote if its less the HA will be zero.
Actually your explanation is complex a bit but it shows all the steps and why this and that become the answer, I suggest you making a video of a lesson with different explanations for different skill learning level and i think this will be very helpful. Thanks a lot for your efforts 👍👏👏👏
This is very interesting, other videos show these with examples simple enough to just set the denominator/s to zero. You mentioned it clearly that not every value for a variable, for which the expression goes undefined, is also an asymptote itself. And also quickly explaining relevant but maybe overseeable topics like qualifiers helps alot. This is the depth I'd rather like to understand in than the depth of maths being taught in school.
Thank you very much.
Thanks to Sal, I love math again.
school at its finest! thanks Mr Khan
wait do you simplify the equation before using the degree rule to determine the horizontal asymptote?
Sal Khan is a life saver. Much better teacher than Ms. Cornett, who decided it was better to play 2 truths and a lie rather than go over the summer review packet on the first day of school :) And We've got an exam tomorrow :DDDDD. THANKS MS CORNETT
Wow Really Nice Tutorial, It Really Helped with my Business Cal problem Thank You Khan Academy!
this problem was a bit more in depth compared to the other tutorials found on youtube but I understood it because of you so thank you!!
this makes so much sense
I love the tutorial of khan Acady
Thank You. Great explanation.
grats on your 4,200 video !
Any videos on how to graph something like this?
So clear - thank you!!!
thank you!
Very helpful, thank you!!
Thank you
The easiest way to figure out the shape of the function is to look at the factoring used for the vertical asymptote. This shows in the numerator that the function equals 0 only at 9, since 9 is greater than 3, and 0 is less than a 1/2. We know that it approaches 1/2 from below on the right of the asymptote and from above on the left
If only I had this when I had my last last week!
THANK YOU!!!
congrats on 4,200th video ;)
You've saved many lives including mine!
Thank you!!
finally!! thanks for the tutorial.
You can also find the inverse of f(x) to determine the asymptote.
Please make a video about oblique asymptotes
He didn't explain why -3 is not a vertical asymptotes. Is it because the numerator and denominator cancels out?
thanks
Vid was helpful
so we would say that there is a hole in the graph at x= -3
right?
Great video, but I couldn't find it anywhere on the actual site no matter where I looked.
Great vids
How do u find the y value of the whole discountnity, if i plug neg 3 into x and solve for y it gives my undef
*hole discont
lost me when he got to vertical asymptotes....
Why would the function be undefined in two places?
At x=-3 the function value would be 0/0 which is 1 what's wrong with that? It fits into your sketch as far as I can estimate things... Please explain!
0/0 is not 1
So what is the significance of vertical asymptotes in practical terms?
Jayrold Amoggao limits. Extremely useful in advanced physics, and used to a degree in more basic 1D motion. Also, calculus. It's an entire field of math dedicated to limits.
i love this thing damn
When do we need slang asymptote
I love khanacademy and everything, but i feel this could have been explained easier and faster
Yeah, and I don't know anybody else who can explain Bitcoin geometrically better than you - like linking all the blockchain records together to show movement of money. That kind of video is needed for all those people who's having difficulties of understanding Bitcoin (that's the reason why they don't use it)
lol thxs for getting me thru 3rd to 8th
Is there sound to this
yes
Hey Khan, can you finish/add to your differential equations playlist?
You don't have anything on Power Series, Ordinary, Singular and Regular Singular Points or Fourier Series. It'd be great if you could do a bunch on this. Deciphering DiPrima and Boyce's book is a real pain.
but wouldn't you have either a hole or a Horizontal Asymtote in an equation ???????????????? please answer?????
A parenthesis is missing in the denominator ;).... great video, as usual!
I have no clue about the vocabulary but I get the concept so I guess I'm okay.
it actually looks like -3 is a vertical asymptote once you graph the original function
Why -3 is not in the domain of given equation? You should have explained this.
It hurts everytime you say, "Let's do it for fun." 😭
Erina Khadka it’s very fun ma’am
falling out of focus with sal is never ok. thats like day and night.
Sir ji make it in hindi
This was extreme helpful but watching video makes me want to swallow my spit when i hear him talk lol
if someboy doesnt have any concept of this subject,the explanation seems so insufficient.
I couldnt get the points and failed to follow
Rosa s This is advanced high school levels of maths, not meant to be easily understood outside of school teaching and certainly not without previous experience. Saying that, try applying his working to other questions, helped out a lot for my work at Scottish college level. Of course feel free to discard this comment, it is youtube after all
Well he explained very well tho. Idk y u don't get it. Maybe u didn't know the previous stuff
Clearly you understand the content but you take forever to explain one question. A good tutor is able to get their point across to their students. An excellent tutor can get their point across both effectively and quickly.
+Kevin Lin I agree. He spends a lot of time repeating what he says as he writes.
ok then go watch someone else my guy
for the vertical asymptote, why not just make the denominator's equation equal to zero like: 6x^2-54=0 then do math. it's much more easier.
Samiha Sajida I think what he's saying is that you can make that equation, and then what you solve for is going to be your asymptote.
and hes saying that x = -3 is wrong when you solve that equation. lmao. he even explains it after he factors out the equations. he says that x = -3 is where the function is undefined. that x = -3 is called a hole. thats why he says the the setting the denominator's equation to 0 and solving for x will not be the correct answer.
You must mean x can not be +3 since that is the only vertical asymptote, x = -3 works just fine
time to make a table of values lmao
I dont understand how they can draw on the computer
vertical asymptote =-3 not 3 and thank U
I am Matteo
noice
C'mon, Khan you know that we're all expecting you to make more Bitcoin videos of the other level. How about making some explanatory video in a kids style like (by showing visually limited amount of the Bitcoin money) "Here's the digital blocks that we need to protect with the keys, imagine that this geometrical room is all of the world Bitcoins - now look - if somebody claims to have 1 million of BTC, that takes too much space" - or you can use examples as an earth, to explain that purchasing 100 BTC is like purchasing New York city for cheap 300 years ago.
You know, something like that. We're like a kids - we don't need complicated stuff. At least sometimes make something simple.
Can he ever pronounce numerator and denominator right?
Oh I hate this stuff! I can't do it. I hate math!
+Brent Jones You can! You have more power than you can imagine :-)
+Samuel Agyeman-Prempeh thank you for those encouraging words!
1:34 cringe
lol
This is not algebra 2 bro
@Daniel Leslie yeah thats what i thought lol
Thanks