Relations and functions | Functions and their graphs | Algebra II | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/cc-e...
Relations and Functions
Watch the next lesson: www.khanacademy.org/math/alge...
Missed the previous lesson?
www.khanacademy.org/math/alge...
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
/ channel
Subscribe to Khan Academy: kzread.info_...
Пікірлер: 532
istg i feel stupid during quarantine. online class aint teaching me anything at all
@shayuh1244
3 жыл бұрын
Same
@onepunchman5033
3 жыл бұрын
Same
@heatproof5486
3 жыл бұрын
@@shayuh1244 same
@mekshek7359
3 жыл бұрын
Same
@23deepakiyer76
3 жыл бұрын
same
You just made 1 hour worth of babbling from my professor clear in less than 7 minutes, thank you.
@heavensent9173
4 жыл бұрын
call proff mr babylonian
@elronmernilogaming543
3 жыл бұрын
True
@MZKI201
3 жыл бұрын
fax
@marimari09
3 жыл бұрын
@KSKCC-9 Besson wait a minute
@soupymeow
3 жыл бұрын
Did you fail?
A really easy way I remember whether it's a function or not is if there are more numbers in the range than domain, it's not a function
@chawanangwachiponyirenda2808
3 жыл бұрын
It’s a good one
@omransaeed1988
3 жыл бұрын
You mean if there are repeated numbers in the range, it's not a function?
@mathematicsfordummy598
3 жыл бұрын
@@omransaeed1988 That is not really the case. The domain or the admissable value of x do not occur more than once. Let's say for example, we have f(x) = x+1. We assume that our x or the domain is 1, then we have the range of 2 or the resulting values of y is 2. The given function x+1 if substituted with the admissable value of 1 will always have the resulting value of 2 which makes it a function. Let us have another example, x^1. Given we have a domain of 1 and -1, the resulting values of both the admissable values of 1 and -1 are both 1. Which makes is a function.
@kvuxi5695
3 жыл бұрын
Y’all really smart I’m over here having a mean talk breakdown cause I don’t know anything about math
@leilahvillegas2153
3 жыл бұрын
@@kvuxi5695 literally me rn on a Sunday night trying to figure out how to do my 4 math assignments due at 11:59 pm
Why do teachers make every shit complicated.....You are awesome! thanks a lot :)
@dankmemer6626
7 жыл бұрын
true though
@dankmemer6626
7 жыл бұрын
true though
@5injl
7 жыл бұрын
LMAOO. TRUE
@juanmares8104
6 жыл бұрын
Steezy Bois
@famestar1065
6 жыл бұрын
Omfg u are right
So if X cheats on Y you have a dysfunctional family? *EDIT: After reading other comments I’m really sad that this wasn’t original*
@ipotatosenpai7002
4 жыл бұрын
:
@Red_Adanac
3 жыл бұрын
so Y did X cheat?
@leulyonas3947
3 жыл бұрын
Idk y he did it but is x a woman y
For everyone who didn’t understand For example you have (-3,-2),(-2,4),(0,5),(-2,6),(3,8) The domain is always the first number Domain: -3,-2,0,3 Range:-2,4,5,6,8 (FYI- I didn’t add two -2’s because it is mentioned once so you don’t have to add a number more then once) So it will be -3 linked with -2 -2 linked with 4 0 linked with 5 -2 linked with 6 ( again) 3 linked with 8 Therefore it’s not a function because -2 is linked with 4 and 6 so that’s not a function That’s the whole lesson for you Like if this helped ☺️👍🏾
@Red_Adanac
3 жыл бұрын
Nice
@sebastianhohmannhernandez4046
Жыл бұрын
Tsym
@kingp3rcius283
Жыл бұрын
Is it applicable for range too??
@gameonm8737
Жыл бұрын
@@kingp3rcius283 no cause its possible for range to have more than two values. Look at a quadratic function
@Perfectiqn
Жыл бұрын
My mom spent 800$ on a school course lesson and I had to sit down for 1 and a half hours just for you to easily explain here
You made it very easy to understand, I failed to listen to our 3 day class regarding this lesson and I learned everything I needed to learn in just 7 minutes, I understood every detail that I needed to get to pass my exam, Great video.
so basically it's the matter of one member of the domain being loyal to a member of the range for it to become a function. if the member of domain cheats on one member of the range and marries another member of the range, then it's no longer a function.
@maricarcunanan321
2 жыл бұрын
Exactly!
My teacher made this so confusing. Thanks for actually teaching me
*Function:* One to one Many to one *NOT Function:* one to many
@reycuevas5378
3 жыл бұрын
Good bro
@gamerx3354
3 жыл бұрын
Pretty much
@zuri4832
3 жыл бұрын
Still don’t understand
@laurenkirbyyyy
3 жыл бұрын
thank you!
@mcdonaldsemployee7010
3 жыл бұрын
@nattiroo no that would not be a function, if you still need it
Man you just saved my life , I hope you to have the best life and thank you thank you thank you so much , my teacher never explains anything I have been having a lot of trouble understanding from her , she's nice but doesn't explain well but you man just made my day and I hope god makes your life the best life and a healthy life too😄
My tiny brain still cant understand anything
@gialuie8164
4 жыл бұрын
Wellllll me big brain have tiny knowledge
@cboyslim5490
4 жыл бұрын
i hope you ended up figuring it out, master big brain
@donghyuckismyyeobo6785
3 жыл бұрын
@Gabriel Renovalles I am. Googoo gaga
@kwiiba168
3 жыл бұрын
@@donghyuckismyyeobo6785 LMFAOOO PLS
@horndog5368
3 жыл бұрын
he's basically saying that you can have multiple numbers in the domain that can mapped in one of the range, but you cant have 1 number in the domain to be mapped into multiple numbers in the range, because as he said it aint a function
This is amazing. If only all lecturers could explain like you!
Thanks dude this really helped, missed a few days of school and needed to catch up. :)
The way you explained how a function is basically an association in which you KNOW what a certain element of the domain is exclusively associated with the range is actually a pretty good idea I always seemed to doubt whether many-to-one relation is the function or not. Thank you!
Thank you so much. I was so stressed out about a problem but you put it into easy, understandable words; now it all makes sense!!!
(see time 4:06) It helps from the beginning if you explain that the "domain" is the first number in each set of parentheses and the "range is the second number. And that when you write out your domain numbers, you write them from negative to positive AND you don't need to write a number twice (like -2). The only way it is a function is if the Domain ARROW points to ONE member of the RANGE. Basically, if anything is pointing to more than one number it's not a function. Boom. there you have it.
@marianavm2355
2 жыл бұрын
This should be pinned idk why he didn't explain any of this
YOU explained it so well... I mean if this is class my teacher is just gonna discuss this for one hour and I can't understand a thing and you made it clear in less than 7 minutes
Thanks man...Lol my teacher thought me a weird way to remember this..."X cant cheat on Y" or for domain and range its"D.R XY(D goes on top of the X and R goes on top of the Y)Cool vid
I’m going to fail this year
@ankitaaarya
5 жыл бұрын
Did you failed, any updates?
@Notme-dv5xr
5 жыл бұрын
Sad Party same I’ve got a test tom and I don’t understand
@sadparty7807
5 жыл бұрын
Ankit Arya not yet, 3 months left of school
@thapeloaobakwekomanyane3621
5 жыл бұрын
Try not to @@sadparty7807 . make it happen ok
@ikennaoparah7498
5 жыл бұрын
I got a test tomorrow and this is helping out a lot I wish the best for you sad party
this is really good. makes learning much easier, thumbs up.
Why did i not understand this when my teacher gave 7 classes on this and i understood 7 minutes of this video, thank you. You should really be a teacher
This lecture coupled with these comments just saved my grade (and my Brain) thanks y’all!!!
This takes alot of weight off my shoulders thank you its alot easier to understand
thanks.. this is our lesson tomorrow so Im just gonna sleep in General Mathematics.. what a relief..
@abhin.p3099
2 жыл бұрын
Hey
I have a test next week and my teacher is required to explain in English since our class is an elite class (Meaning we study in English when it's not our native language and it's so hard sometimes) and all of his pronunciation, grammar, vocabulary etc. Is so bad that I do not understand a word of what he says! And when I express that I can't understand? He repeats exactly the same words that I did not understand from... So this is really helpful to me, thank you Khan for making this video! Love from the U.A.E
@petekeyism
2 жыл бұрын
I’m from the UAE too! I have a Mathematics final today and I’m pretty confident in all areas except this one because I was absent when my teacher taught this :(
at first i didn't understand a thing possibly because i read alot of this comments and made me anxious alot but as you finish the video you'll start to understand and learn it all and that was hella great
Thank you so much I learned something from this vid, I might get honor role once again😀👌
very well explained. thank you!!
the way this is explained is so simple. thank you very much!
Thank you so much!!!! This made my lessons so easy:) better than reading complicated module and a very long discussion!
It’s 2020 and yes I have exam this week pray for me I don’t want to fail🏃🏻♀️💨
@tsukiru1225
3 жыл бұрын
me too, i have it tmrw and im def failing LMAO gl tho!
@tchumiu
3 жыл бұрын
KSKSKSKSSK I HAVE MATH EXAM TOMOROW SKSKSKSK also where r u from like just which country ik weird question
@tchumiu
3 жыл бұрын
@@tsukiru1225 SLAKDKASKDFKAS SAME r u arab?
@tsukiru1225
3 жыл бұрын
@@tchumiu I AM!
@tsukiru1225
3 жыл бұрын
@@tchumiu I have an Arabic exam legit- like- RN LMAOAOAOA
A super way to remember this is that domain is x and range is y. And one domain can’t have multiple ranges
@subbysofficialtv2930
3 жыл бұрын
Yes it can but it would just be called a relationship that's not a function
Thank you Khan academy it helped a lot 😃
Please keep Producing more math videos!! Its very helpful!!. Thanks to Khan Academy!! :)
I already watched other videos about this topic, but you have the best guide, teaching style and order that no other publishers have. Excellent Job Khan.
This was so useful! Thank you so much.
you are a great teacher sal, thanks a lot!!
I like this 👍u tell us the simplest way to understand Tnx
thanks Khan Academy... it helps me a lot!!!!!!!
I love your work mate.
Thank you !My teacher havent teach us bout this, now i understand
My dad is awesome math, but I'm not gonna lie, this is a way better explanation, and English isn't even my first language. Thanks!
You just made me pass my algebra class.
i like it how my professor gives out easy examples but whenever tests comes those examples never hepled us
That was useful !
thank you so much. You made it so easy to understand.
simply amazing!
thank you so much!!
I Agree with DareDefyMe88 If you don't like it, then why bother watching Sal's videos. All he is doing is helping you. For Free. If you don't understand, you need to go back to more basic stuff then work your way forward. You can't blame your own lack of brains on this generous man's vids.
Thank you! This really helped.
Thanku!! I haven't learned this lesson in school yet but i have a friend having trouble and i wabted to help!
Thank you for explaining it in a simple way. Appreciate you Khan Academy!
What a great video I LOVE YOU 🎉😍
THANK YOU!!!!!!
Thanm you khan academy! Very helpful video. May God Bless you!
@dirtyproductions6865
7 жыл бұрын
our lesson in math is also in this kind of topic but i think this lesson is for grade 8? since im already grade 10 but our prof is a senior high school teacher.
@t0x1cear34
6 жыл бұрын
Dirty Productions we had this in grade 6
@dbmxdarkrider2545
Жыл бұрын
Hi
"Big fuzzy cloud looking thing"
@theweirdo2187
3 жыл бұрын
😭😭😂😂😂
Your voice sounds like the narrator on the scary animated stories im watching well i just notice it hahahaha but the math explanation is worth watching😊
Yo this helped a lot, thank you💕
Thanks i answered my problem
Dude thanks you gonna make me past that test tomorrow
Lots of words on our modules still doesn’t help but this vid helpeddd soo much!
Thanks Khan!
my teacher cant teach this, she rushes lessons and doesn't take any questions. Thanks khan your always there for me. (This is when math actually gets hard)
Very Helpful
thakn you, very well explained
This is really help full
Thanks for making this easy
Oh my goodness, thank you so much. I didn't get a clear way of seeing this, now I do. Thank youu !
so you watch this the night before the exam? bloody legend mate
@an-lt6io
3 жыл бұрын
watching this as i do the exam lmao
Awesome ...
I finally understand it omfg thanks broooo-
Thanks I understand....
you made this so simple in under 7 min
Appreciate this simple, easy to understand lesson :) thanks
thank you!
THAAAAAAAAANK YOU!!! I LOVE YOU MAN!! YOUR BETTER THAN ALL OF MY TEACHERS!
great video!!
Thank you so much
Very grateful
Thank you so much you are always better than my teacher
I missed 1 day of class and apperantly this is what they learnt on that 1 day
Nice video and explanation.
Thank you so much this was super clear!!
really its so much nice sir,,,,,
Thank you so much you make my life in peace
Thanks so much
Thank u 💗
Gonna watch all these during my holidays and get ready! Hehe :D
Thank you so much this really helped 😊🙏🏽
thank you teacher
omg you guys are soooooo helpful my math program (apex) is horrible at explaining things
Thanks a lot :>
Teachers typically spend half the lesson going on a speech like they're going in the elections for president on before actually _teaching_ and your brain automatically stops listening to him and mid speech, he actually begins to teach about the subject he's supposed to teach and your still not listening to him so you miss half the explanation. ):
Very helpful
amazing explanation
You deserve a noble prize!
Tq very much.i pray for khan academy to reach more heights of success.
thanks this video helped a lot
That helped so much