What is a function? | Functions and their graphs | Algebra II | Khan Academy
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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!
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Пікірлер: 1 100
I khan't function
@noviebaloney
6 жыл бұрын
god dammit dude
@aieshah8060
6 жыл бұрын
Seriously 😂
@lurker784
6 жыл бұрын
Get out 😂😂😂
@believer9541
5 жыл бұрын
😂😂😂
@maymiller3639
5 жыл бұрын
Lmao
He has taught me more in 3 months that my school in a year.
@blakesteenrod4765
4 жыл бұрын
XenoTek 444 which school are you going to? The teachers sound bad
@ok-ws5ge
4 жыл бұрын
@@blakesteenrod4765 asking people where they go to school is creepy and odd/weird
@edwardguillen4381
4 жыл бұрын
pay more attention then
@nestoons4539
3 жыл бұрын
Luffy it was a rhetorical question
@celestialorb1680
3 жыл бұрын
@@edwardguillen4381 Thats not how it works idiot people often pay more attention when there teachers are better and make thing more intresting.
Who else is watching the day before their test
@tayloralison3898
6 жыл бұрын
Revilo 366 Me lol. I'm struggling. I don't want to fail.
@dantesudaria5554
6 жыл бұрын
Revilo 366 bwhahaha 😂😂
@saltymango8742
6 жыл бұрын
omg yes I'm screwed
@capt_awesomest1957
6 жыл бұрын
Yes, I have a test tomorrow.
@bearjordan2081
6 жыл бұрын
me......................................................at 11pm
You know whatd be great. If my teacher taught me like a normal one.
@Alyssa-qk8kf
7 жыл бұрын
does yours teach from an iBook too?
@parriscrowder8356
7 жыл бұрын
I know right teachers these days
@utahnash
7 жыл бұрын
Legit my teachers like heres our topic, heres your vocab... Search both of them online and teach yourself... But she gives us problems to do, but we dont know what to do. Its pretty much heres paper, play on your phone the whole hour.
@utahnash
7 жыл бұрын
Im in 8th grade and sometimes the equations she gives us dont make any sense
@bigchef608
7 жыл бұрын
Nash Hansen mine is pretty fun
how does he write neat using his mouse?
@Cluetube
8 жыл бұрын
i was thinking the same. then i was like "he must have one of those drawing pad things, or he is a artist"
@zuesr3277
6 жыл бұрын
he uses a bamboo pad
@disintegratesintobinary655
6 жыл бұрын
tampax
@aflyingpumpkin1073
5 жыл бұрын
i think he is using a tablet
@kxminxri
5 жыл бұрын
@@disintegratesintobinary655 oh god
6:12 _Randomly draws a circle with a mouse._ *Viewers faint.*
@agentphantom9076
3 жыл бұрын
he is using pen tablet
@gabrielsiteny
3 жыл бұрын
Still, impressive
@stevencooke6451
3 жыл бұрын
That was quite impressive.
@weirdasff
3 жыл бұрын
@@agentphantom9076 most of us cant even draw that nice with a tablet :/
@adityansh
2 жыл бұрын
Tablet with Stylus*
this helped me out a ton. my math teacher doesnt explain this topic very well so i have been struggling in class. i really appreciate this lecture!
Simply brilliant. Been trying to draw out the core of this math concept but I usually get confused. . . Until now. Greetings to the KHAN 😊
Who’s watching this for their online work
@KaedeharaKai
3 жыл бұрын
Me
@KaedeharaKai
3 жыл бұрын
My teacher said 3 functions but we dint study for this
@blackbirdflightsim495
3 жыл бұрын
meer
@itsniyah1745
3 жыл бұрын
im guilty
@red_5687
3 жыл бұрын
Me ;-;
This video made me really understand what a function is. Thank you!
Thank you for making this app! I am 13 and I really enjoy learning math, science, etc. Khan Academy has really made the process of learning fun, and super interesting. I'm still in shock that such an amazing education platform is completely free!! I am very excited to learn more in the future...once again, thank you so much for Khan Academy.
I like how he pointed out y = f(x) = x+1, which I've found helps students mentally think of what the new notation means by relating it to something they already know.
This is also very useful for beginner programmers, when you say "y = sin(x)", you're actually calling a function sin() with parameter x and overwriting variable y with the result of this function.
@themilkman8034
2 жыл бұрын
True lol I didn't understand functions initially when I learned them in school then I learned how to code and now the topic of functions in math class is super intuitive
@zenu903
2 жыл бұрын
I've had this epiphany myself when failing to learn how math functions work, turns out they are just like programming functions, which I already understand.
@Jee2024IIT
Жыл бұрын
Right,I was in 9th when I learnt how to create functions in python and in 11th our maths teacher taught about functions . Everybody was so confused except me who was thinking what's new in it? lol
@defaultset
Жыл бұрын
@@Jee2024IIT Weird huh? I personally think most programming teachers are better at teaching coding concepts than math concepts, I think it's because programming shows your hard work by running your program whereas math usually does not. Math teachers expect you to just know these things while beginner to intermediate coding teachers assume you don't know so they keep reiterating the definitions. Just my take.
@Jee2024IIT
Жыл бұрын
@@defaultset So what do you mean afterall,I don't understand the point of your comment
h(a)h(a) that's pretty funny Sal!
@nadiasouilah3425
5 жыл бұрын
Bray Knapp your ugly
@dammitcarl1082
5 жыл бұрын
@@nadiasouilah3425 His ugly what?
@syedafarhanasharmin9763
5 жыл бұрын
@@nadiasouilah3425 you should look at a mirror before calling someone ugly mate
@werock5398
5 жыл бұрын
@@syedafarhanasharmin9763 the thing is when she looked in the mirror it cracked into a million pieces and cried out in agony
@angelstarfire
5 жыл бұрын
Lol
I wish my professor taught math the way you do. This made functions so simple.
and finally I understood the concept!! A big thank you honestly!
This stuff is really helping in quarantine!! I’m in grade 10 and my teacher assigned a bunch of functions, something that’s entirely new to me. So this is great lol
@mila6731
2 жыл бұрын
Me too haha, except I’m doing 8th grade math
@buzzpus7407
2 жыл бұрын
Same
@lollyteddybear1357
2 жыл бұрын
Me too except I'm doing 7th grade math
@indestructible247
Жыл бұрын
i am learning this in the ninth grade
@kettlebellsandcoffee
Жыл бұрын
@@indestructible247 I am doing it in 10th though I learned about it 8th (I just forgot Lol)
Great lecture , I understood each and everything. 👍
He has such a soothing voice lol
@natalyaschulze1039
8 жыл бұрын
+ChipsAhoy ASMR xD
@bellaro-
6 жыл бұрын
He repeats so many words.
@kekakistuff
3 жыл бұрын
@@bellaro- wdym?
@ST4RZ824
2 жыл бұрын
no i was watching one of the videos and heard him read the word problem and say mmmmm so good
It's very good explanation of a function. I like these useful videos.
And then Satan said, "I have an idea, let's put numbers in Math!"
@walter4609
7 жыл бұрын
Your Average Savage do you mean letters
@windowpane7841
6 жыл бұрын
Mac *letters
@zoebradshaw9246
6 жыл бұрын
Mac *letters in math
@jehieljoseph1220
5 жыл бұрын
U mean letters...annoying asf
@troupemember1474
5 жыл бұрын
This comment had potential for greatness
Hello, everyone. This is a good lecture. This is a good lecture. Everyone, you were born into a good world. And we should thank the people involved in the Cannes Academy. Because their efforts are great. And we have to be careful not to get a corona just like the efforts we make.
I'm self studying math and just got James Stewart's Calculus today. This video makes functions easier to understand.
I could never understand my math teacher at all when he taught this to our class. Now I finally understand THANK YOU
I love watching him explain. I probably would of done far better if I had this growing up.
hi sir thanks for your video. i have some queries with regards to the book i have read online because i cant understand how they get the values in the example. (see below) Ex: Let g(x) be the slope of the line tangent to the graph of y=f(x) at the point (x,f(x)). a. Estimate the values g(1), g(2), g(3) tangent point: (1,0), (2,2), (3,1), (5,-1) Solution: y=f(x) with several tangent lines to the graph of f, we can estimate that g(1) (the slope slope of the line tangent to the graph of f at (1,0)) is approx. equal to 1. Similarly, g(2) approx equal to 0 and g(3) approx equal to -1
I love this. Helped me on my algebra hw.
i would just like to thak you so much , i wouldnt have scored good on my applied maths paper if it wasnt for you. i am so grateful. god bless you
I think I get this so a function is defined as like a machine where any number placed as an input value will get a substitute output valvue . For e.g If I have an operation along with the function F(x)= x + 2 where if I put x as being 1 then when included into the function I get the result of 1 + 2 = 3 .
"... the next larger number that starts with the same letter as a" me: *bruh*
@psun256
3 жыл бұрын
mfw you need to pay attention in english to do well in math class xd
this actually helped me understand it better, thank you.
Thank you very much very clear to understand and contain all necessary knowledge
when you were high af during this lesson was taught so you have to watch this and try to understand it before the test
I’m taking the SAT in December and I forgot how to do these
Thanks for this great explanation now I Know that what is a function
In topic simplicity no one can compete you in whole KZread. Thank you so much
I find these videos very helpful. Thank you Khan Academy
just going through this so that i dont find it hard when we go back to school after quarantine
Ah, makes so much more sense now. Thanks!!
We were using these videos in class and it really helped me, but it didn't help everyone else in my class so he stopped using it and I'm confused again. This helped, thanks.
Very helpful, but one question. What program does he use here? It would be helpful for me online for math
@ItsmeIzanami
6 жыл бұрын
Hey Sharaktor how about you shut up and go get a life
@themilkman8034
2 жыл бұрын
@@ItsmeIzanami never heard of that program before
@ItsmeIzanami
2 жыл бұрын
@@themilkman8034 uhh that comment was from 3 years ago and the dude I replied to deleted his comment
I’m still confused...
@Kh4lidz
6 жыл бұрын
I just want to know one thing, What class is this video for ? How old are you to study this ?
@Victoria-lu3or
6 жыл бұрын
Kh4lidz algebra 1, freshman in high school.
@paritoshagarwal8840
6 жыл бұрын
Kh4lidz this video is for people aged around 15-16
@Victoria-lu3or
6 жыл бұрын
Paritosh Agarwal I’m an 8th grader and I am in Algebra 1.
@tuksc
5 жыл бұрын
This is Algebra 2, gotta make sure you went through Alg 1 first lol
Very helpful, especially at the end, Thank You Very Much...👌👌👌
English is not even my first language I checked the most of the terms on translate but this video helped so much thank you! My teachers speak the same language with me and they didnt teach that good
honestly I forgot all my math lessons in highschool! arggh!!!
Khan Academy Rules If I was a math teacher, I would just find all of the KA videos for that days lesson, and play them. "Watch the TV class!" "(mumble) watch it!" (start doodling on a loose paper) "now do your homework" "DO IT!" (goes back to playing minecraft on computer)
@AroAliens
6 жыл бұрын
i know i'm 3 years late but dude, you'd get fired from teaching...
@gurlgenius11
5 жыл бұрын
zephyr89s Bingo. I've paid for an online college math course that Sal is going to end up teaching. Sal, please just get college accredited, and I'll take YOUR courses.
I love khan Academy it's getting me through algebra 1
Thanks so much i understand very well👍🏻
It was simple but in my lecture it was entangled. Now i'm fully saticfied with your explanation. Thank you sir! 🤗
First time watching a Khan Academy video (for personal understanding, not because of the kids). I'm sure it wasn't intentional, but I enjoyed when he solved f(2) = 3 incorrectly. It gave me an opportunity to prove to myself I understood by personally correcting his mistake before he did. Great confidence builder; very empowering! lol
Great video. Really helpful.
좋은 강의네요
Is this a function F(X)=X^4? Can you explain me how it is a function
@ernestovalverde2394
5 жыл бұрын
I think so. if x == x: return x ^ 4 This is a function in Python which is practically the same as math judging by this video. It's saying if x, raise x to the 4th. F(X) = X⁴. F(3) = 81. Yeah it's a function. I might be wrong though. This is the first video explaining functions (in mathematics) I've watched...this isn't my account btw. I'm a boy...
@joannaathineosmathematics5706
4 жыл бұрын
It is for sure and to be specific it's a polynomial function. 4 is the exponent and remains the same. Slope is 1.
@joannaathineosmathematics5706
4 жыл бұрын
Another good explanation to determine if this is a function or not is to see the relation between the two variables x and f(x) . F(x) is always x^4. For every single and different value of x you get a unique and different value for f(x). It's also an even function because of the exponent 4.
Just started school, and the PreAp Algebra 2 teacher gave us homework on the first day 😭
@bushrasmk321
6 жыл бұрын
ashley Cortes same here we start taking quiz first week of school 🤒🤧
@Juliana-sy6vp
6 жыл бұрын
ashley Cortes same here omgggggg
@fireychaos6615
5 жыл бұрын
Same here mate , I shall suffer with you.
@joannaathineosmathematics5706
4 жыл бұрын
Algebra 2 lucky you!!!
Thank you, sir... much appreciated.
You helped me alot thanks!
What the fuck, my brain can't even function properly because of this lesson.
took me 30 seconds to realize this isn't programming related. My brain flexed to its peak to understand comprehend the first 30 seconds.
@thatoneguy7193
2 жыл бұрын
If you think about it though, they're quite similar
Khan Academy has made me understand this topic very essily THnx :)
the very best work and greatly help us.
Me: Okay, okay. I got it. Also me: Where tf did that square root of 3 comes from?!
@aaimalkhankhattak
4 жыл бұрын
kzread.info/dash/bejne/a2SYyrqjlpm-aZs.html
Can we get held back in online school?
This video helped a lot. Thanks for saving humanity.
Great lecture. Thankyou
this is so difficult
@dittyesq
7 жыл бұрын
The first time through, it strains the brain. Watch it a second time and it starts to make sense. By the third time, it should "stick" pretty easily.
@redfur7216
6 жыл бұрын
Mental Abuse To Humans
@ThatDudeEddiee0
6 жыл бұрын
At first. But the more you practice these kind of problems and sounding it out in your head, it begins to make sense on how the numbers are occurring
@joannaathineosmathematics5706
4 жыл бұрын
No worries. Watch it again and again...
@St-sz8oh
3 жыл бұрын
Richard Smith no
Ooh my gwaad I am gonna stop gaming and start learning
Good lecture also see the definition of function "Maths in Desi style"
2:54 Should be the next "larger number" that starts with the same letter as variable a instead of "largest"; largest number for h(8) would probably not be 11 in this way
took college calc. and now I now what function means...better late than never !
@joannaathineosmathematics5706
4 жыл бұрын
Sure! That happened to me too. He is amazing teacher
At 4:38 f (2)=2 wouldnt it be 3 cuz its x+1?
@ericaross5936
7 жыл бұрын
yeah it would.
@Michael-cc4qf
6 жыл бұрын
ya he changed it after
@ThatDudeEddiee0
6 жыл бұрын
Lol he corrected it
@subhadeep5924
5 жыл бұрын
Watch the whole video before commenting.
@joannaathineosmathematics5706
4 жыл бұрын
Yap he corrected it
Thank You. I understand it
thanks my guy your voice is so much better than my boring math teacher
(y)
My brain can't function
@peakyblinders1651
23 күн бұрын
Can't agree more
It is super clear and super easy to understand.
In the description could be the URL of where is this video on the khanacademy site.
Jesus Christ, this is brain torture. Make it stop. :'(
@leilaniwilson2968
5 жыл бұрын
That is not nice to say that boy 😫😫😫😫😫😫🌋🌋🌋🌋🌋🗻🗻🍾
@joannaathineosmathematics5706
4 жыл бұрын
😂😂 Well gotta be honest is not that difficult when you hear it from him
@tylerjones8232
4 жыл бұрын
Wrong
@TF-cy9ei
4 жыл бұрын
@@tylerjones8232 yea it is i dont understanddd
@blackstorm8716
4 жыл бұрын
from 6:29 i didnt get it
Why does he make it so complex and confusing, at the beginning it was fine. He should go more slowly.
@shawnputh9245
5 жыл бұрын
Julio Ruiz r u dumb
@everettwebster5524
5 жыл бұрын
Change the speed of the video
I am from azeribaijan.THank you very much teacherrrrr
My teacher teaches like you tbh (for the first time in history) he even sometimes removes lessons that aren't important at all or we already took it a million times (omg I'm so lucky)
im crying because i cant seem to understand this💀
Doesn't this go towards programming?
@minerfreakpvp6954
7 жыл бұрын
Computer Programming*
@cheesebandit6148
5 жыл бұрын
@@minerfreakpvp6954 I think it can.
is math flawed or do my braincells turn off when they see numbers
This helped me alot
Dear x, Stop asking us to find your daughter. Shes never coming back Signed FlyingHippos_Derp
@blkbaboon
5 жыл бұрын
Noxtixium this is much better: Dear z, Please stop asking us to find your x. She's never coming back. Don't ask y.
@minteew9306
3 жыл бұрын
You commented on this video 3 years ago just reminding you because you probably forgot you ever made this
@beserned1347
3 жыл бұрын
Minteew bruh thanks i was 12 when i did this
@lemon-vy3mj
3 жыл бұрын
:c
maths is very much cool thing !!!!
@msp_gerodiasjhannrussel.j8216
5 жыл бұрын
shiv shah stop it get some help
@paigesaunders2531
5 жыл бұрын
shiv shah ew
bravo, nailed that thing.
what I am learning in school: how to divide by 10, Khan Academy: arithmetic sequences
you need some Milk
I still don’t get it 😑
This makes perfect sense.
Do you have videos which is explained math analisis I really need that but couldn't find normal video in englsh
what the heck
@ramsinghbihola5429
6 жыл бұрын
AJ jones t
@ramsinghbihola5429
6 жыл бұрын
AJ jones
i'm sorry isn't this kind of simple though? i'm a young person. i understand this
@6ra9
5 жыл бұрын
oml staph.😂😂 yes i am jesus
@ernestovalverde2394
5 жыл бұрын
ImAnArmy kzread.info/dash/bejne/g2x_so9yndDgYbQ.html please stop spamming *"aRmY"* every time you see someone with a profile pic related to it. There's way more Man Utd fans both irl and online yet you never see them behaving like they suffer from autism...
@ninadoolam6027
5 жыл бұрын
i understand it now
@amrsalah4
5 жыл бұрын
:0 0: not really either I’m really dumb or ur gifted idk
Thanks Sal, as always awesome video. but i have a question, Why not just explain function by set theory?!
@lsmrkqj
8 жыл бұрын
What is the set theory actually
@monahusseini6876
6 жыл бұрын
it's related to mapping were a set of numbers convert into another set.. But I guess this videos explained it way more simple than other methods or theories
I’m taking Math 2H as a freshman this year because I already had math 1H in middle school. School started yesterday and my math teacher just rushed in on math activities already. I was so lost right when he elaborated more on “f being the location and x being the height in a graph” or something along the lines like that. To be fair, I couldn’t hear the teacher all that well Bc I’m hard of hearing and the screen was so difficult to see so I didn’t know what the equations said, what the answers were. There were moments in the class that I thought I figured it out but I actually misread it. Lol. I’m so miserable taking that class. But the teacher is so funny and is good at teaching but is very fast. But I’m stuck here not knowing how to do my homework.
wtf is this? im only in 8th grade and my teacher is making me report this.
@wildrain8602
6 жыл бұрын
Moonlight Hallow me too
waste of time
@sarahmoriyam8811
5 жыл бұрын
no hater
It's been 7years since this video was posted and I'm watching this a day before my test
Im starting to get interested in this math thing