Domain and range of a function given a formula | Algebra II | Khan Academy

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  • čas přidán 6. 11. 2011
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    Domain and Range of a Function Given a Formula
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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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Komentáře • 732

  • @isabellarichardson423
    @isabellarichardson423 Před 4 lety +2407

    *I’m watching this through my tears lol*

    • @Pynss
      @Pynss Před 3 lety +31

      SAME

    • @apeacefulworldijustwant6471
      @apeacefulworldijustwant6471 Před 3 lety +1

      Why?

    • @chylacookenmaster5570
      @chylacookenmaster5570 Před 3 lety +2

      sameee

    • @Ignatius-ok5kv
      @Ignatius-ok5kv Před 3 lety +43

      @@apeacefulworldijustwant6471 Who knows? Perhaps she wasn't paying attention and had work to do. Maybe she has a bad teacher and Khan Academy is the only way for her to understand it. Maybe it's a combination of those two things.

    • @sarashook124
      @sarashook124 Před 3 lety +2

      ME OMG

  • @Teemabear
    @Teemabear Před 4 lety +4491

    I'm starting to think I have a learning disability.

  • @amircabrera8647
    @amircabrera8647 Před 3 lety +524

    y’all be really listening while im just reading comments and be like yeah it’s hard.

  • @Batcaveqq
    @Batcaveqq Před 5 lety +2276

    Why does it feel like I'm always watching math videos but never actually retaining the information?

    • @sonnyhines8249
      @sonnyhines8249 Před 3 lety +73

      because thats whats happening

    • @emilyc5441
      @emilyc5441 Před 3 lety +94

      Bc our brain puts out information we don’t need

    • @emilyc5441
      @emilyc5441 Před 3 lety +16

      @Spla Dunctious it iz what it iz

    • @4ssh4t
      @4ssh4t Před 3 lety +1

      @Spla Dunctious not really

    • @4ssh4t
      @4ssh4t Před 3 lety +12

      @Spla Dunctious that’s cool, but that just means you need it, not me

  • @Xurik
    @Xurik Před 6 lety +1039

    from the bottom of my heart, thank you for helping me throughout the years

  • @hady141
    @hady141 Před 3 lety +1643

    I'm watching this video and I still don't understand. God bless me.

    • @braveimposter
      @braveimposter Před 3 lety +25

      Same bro

    • @sonukr.3155
      @sonukr.3155 Před 3 lety +8

      Can i explain to you
      You Wii definitely understand

    • @hady141
      @hady141 Před 3 lety +44

      @@sonukr.3155 that was months ago. I understand it now. Thanks though👍👍

    • @gingerfox5073
      @gingerfox5073 Před 3 lety +5

      @@hady141 I need help🥲🥲

    • @garciaaustin6022
      @garciaaustin6022 Před 3 lety +1

      HAHAHAHA😂👍

  • @amdelrushjunebesquillo4325
    @amdelrushjunebesquillo4325 Před 3 lety +161

    Im just smilling in emotional pain throughout the video.. and im trying yo learn this for online class😃.
    Then WHAAAAAT IS THE DOMAIN OF 3x²+6x-2 ?!! Aaaaaah

    • @ash8421
      @ash8421 Před 3 lety +11

      I'm trying to learn this for online school as well. There are multiple domains for the equation. The domains were the x values in the table that he made. The range was the answer to the equation after he plugged the x value into the equation.

    • @lykafruelda5901
      @lykafruelda5901 Před 3 lety +11

      All real numbers

    • @triton6490
      @triton6490 Před 3 lety +3

      all real numbers. for any x value that is real there is a y value that is real

    • @jingy205
      @jingy205 Před 3 lety

      its everything, cause literally nothing can break the function

  • @nuckchorris6351
    @nuckchorris6351 Před 9 lety +565

    Dominix and Rangey, That's how my teacher put it to remind us that the domain=x an the Range=y

    • @syedhashmi5004
      @syedhashmi5004 Před 9 lety +10

      You and Failzor2 must be classmates

    • @chrislomond5930
      @chrislomond5930 Před 8 lety +13

      +Nuck Chorris my teacher always talked about his friend deXter rileY

    • @viinneett
      @viinneett Před 6 lety +12

      Wow lol u made tht more easy for me!

    • @abcdefghijklmnopqrstuv0
      @abcdefghijklmnopqrstuv0 Před 5 lety +2

      Gonna use that...

    • @Jack-zd3vr
      @Jack-zd3vr Před 5 lety +6

      With all due respect, it’s not very hard to memorize what the meanings of two words are.

  • @tessa7676
    @tessa7676 Před 3 lety +94

    low-key freaking out cause I took a high level in math thinking i'd do well. But all i've learned so far is that I'm as smart as a rock :)

  • @joshuaisaiahnavarro3723
    @joshuaisaiahnavarro3723 Před 7 lety +924

    when obama can teach you math

  • @lupinqs3698
    @lupinqs3698 Před 3 lety +124

    not me crying right now because i have a test in a couple days and i was supposed to learn this forever ago

    • @YafetZ
      @YafetZ Před 2 lety +2

      did u pass? give me hope :(

    • @vishnu-ph9sm
      @vishnu-ph9sm Před 2 lety +1

      Like Ur profile pic

    • @brandonrobledo4281
      @brandonrobledo4281 Před 2 lety +1

      ik you commented this like year ago but did you understand it? if so please help me, because i have a test tomorrow and i’ve been out the whole week/unit so i don’t really understand it.

    • @user-wj9xe2nq5z
      @user-wj9xe2nq5z Před 2 lety

      fr

    • @Ryan-fj5vq
      @Ryan-fj5vq Před 2 lety

      @@brandonrobledo4281 how was your test

  • @ilovehuhyunjin08
    @ilovehuhyunjin08 Před 5 lety +53

    Wow I learned this lesson in just 8 minutes while my prof was teaching for 1 hour I can't even understand a single thing. Thanks man, you're the real MVP!

  • @patjackiecannon2490
    @patjackiecannon2490 Před 6 lety +405

    im just stupid I think, ive watched so many videos and I still don't understand

    • @jackdaniels1749
      @jackdaniels1749 Před 6 lety +18

      same bro, same

    • @komarbat23
      @komarbat23 Před 5 lety +3

      Same

    • @chezlieshaw3435
      @chezlieshaw3435 Před 5 lety +1

      Same

    • @sulaiman7988
      @sulaiman7988 Před 5 lety +1

      SamER

    • @PHILLYMEDIC69
      @PHILLYMEDIC69 Před 5 lety +31

      i find that khan academy is not the best channel for subjects. The organic chemistry tutor is the best because he teaches the basics and gives a bunch of examples of different types.

  • @akirashalf3763
    @akirashalf3763 Před 3 lety +99

    When I have a quiz about this 20 mins from now but I still can't learn it 👁️👄👁️

  • @izzyrobot52
    @izzyrobot52 Před 9 lety +266

    Why can't my math teacher teach this well?

  • @morganballard6053
    @morganballard6053 Před 3 lety +70

    Khan academy helped me do well on my placement test for college, and is now helping me get through my precalculus algebra and trig classes 💚💚💚
    Thank you!!!

  • @Cycy0978
    @Cycy0978 Před 3 lety +37

    Why does my brain can't function when I heard the word math?

    • @lilac_moon1457
      @lilac_moon1457 Před 3 lety +2

      My brain does that toooooo. It completely turns off after hearing the word math.

    • @luc.b6951
      @luc.b6951 Před 3 lety

      @@lilac_moon1457 u didn't get it lol

    • @lilac_moon1457
      @lilac_moon1457 Před 3 lety

      @@luc.b6951 what?

    • @pinkitydrinkity9425
      @pinkitydrinkity9425 Před 3 lety

      Fr I'm over here watch math vids for my test I'm doing and sont understand nothing

  • @kao4266
    @kao4266 Před 3 lety +54

    My math teacher has not given the virtual students(my school is in person with the option to be online) a single lesson but still expects us to understand and do the homework. These videos are my only hope lol.

    • @ninjapiggy1274
      @ninjapiggy1274 Před 2 lety

      i know you commented this a year ago but im going through the same thing, what did you do to get through it?? :)

    • @kao4266
      @kao4266 Před 2 lety

      @@ninjapiggy1274 What helped me honestly was using apps like Photo Math to solve an example question and then I'd try to figure it out myself

    • @kao4266
      @kao4266 Před 2 lety

      @@ninjapiggy1274 I also asked friends and tried to work it out with somebody

    • @ninjapiggy1274
      @ninjapiggy1274 Před 2 lety

      @@kao4266 oo ill try that tysm :))

    • @lolicon.8711
      @lolicon.8711 Před rokem

      lsgh?

  • @Failzor2
    @Failzor2 Před 12 lety +54

    My teacher put it this way. Dominix and Rangey, Domain being x and range being y.

  • @alifardanqureshi2969
    @alifardanqureshi2969 Před 4 měsíci +2

    I've been constantly trying to understand the domain and range from all kinds of different angles and i think I'm finally getting it. Don't give up, keep pushing

  • @rafaelreig.pizarro9156
    @rafaelreig.pizarro9156 Před 3 lety +11

    Funny how i'm learning more from this channel than my PAID college.

  • @toppointbusinessconsultanc4523

    Hi, I am a student of University of the People, I have really benefited a lot from your programs. Thank you so much for all your selfless efforts to help us as students. We have learned a lot.

  • @MovieTrailers909
    @MovieTrailers909 Před 9 lety +85

    i just watched this before going to the exam
    YOU SAVED MY LIFE BROTHER
    MUCH LOVE TO YOU

  • @harshitakanal7411
    @harshitakanal7411 Před 7 lety +33

    Sal,your voice,makes me happy😃😃

  • @yoonbumi4235
    @yoonbumi4235 Před 3 lety +17

    My mind has made the decision to shut down when it hears anything about numbers adding subtracting multiplying or dividing

  • @gleczee8394
    @gleczee8394 Před 3 lety +13

    Why does my brain stop functioning when I heard the word function

  • @xaxa9727
    @xaxa9727 Před 8 lety +15

    we had this during grade 8 but I totally forgot all about it and because school just started we are reviewing past lessons. my teacher makes it really confusing and his grammar makes it a whole lot worse! thank you!! you're a life saver

  • @KiranKumar-nk1rs
    @KiranKumar-nk1rs Před 8 lety +7

    Thank U very much sir....I was very much confused with the Concept of Range.....but Now its clear as U explained it Graphically....Thank u very much once more sir.....Excellent !!!!

  • @tang3151
    @tang3151 Před 5 lety +11

    My A level exam for Pure Mathematics 1 starts in less than 5 hours so this helped

  • @tanjo4
    @tanjo4 Před 3 lety +5

    Soo much better than my teacher in school, she never explains anything properly, unlike you.

  • @QRSC-fh2ob
    @QRSC-fh2ob Před 6 lety +10

    I cannot thank you enough for these videos. They are extremely helpful to me. I need all the help I can get :D

  • @yukikaze6380
    @yukikaze6380 Před 2 lety +2

    Thanks for this vid, finally someone that can explain it to me clearly enough to stick to my mind.

  • @tapprincess4555
    @tapprincess4555 Před 7 lety +8

    Thank yooou! i have an exam in 3 days and this really helped!

  • @katherinefaderoga5883
    @katherinefaderoga5883 Před 4 lety +1

    Thank you so much since I just started in the K to 12 curriculum, I have prelims to answer this for I'm not a good mathematician but a great listener. Thx

  • @khurshidafirdaush4574
    @khurshidafirdaush4574 Před 3 lety +3

    Thanks sir for explaining this topic . You helped me a lot . I never saw teacher like you .

  • @R3verse301
    @R3verse301 Před měsícem +1

    Thanks so much from 12 years after the release of this video.

  • @goo_2gle
    @goo_2gle Před 12 lety +12

    Thank you, Domain and range give me so much trouble in pre-cal. Video has given me a good understanding.

  • @butterflydiary3314
    @butterflydiary3314 Před 3 lety +2

    It's so easy to understand ! life is like trying to set up domain and give it's a law to get a range ,thus we can get a different life .

  • @wildfirevancech.8192
    @wildfirevancech.8192 Před 3 lety +12

    “Functions are often disappointing.”
    “Now, the domain can be whatever I want.”

  • @valkyrierain313
    @valkyrierain313 Před 25 dny +1

    Watching this to study the day of a pre cal challenge exam. Fingers crossed

  • @heyIappreciateit
    @heyIappreciateit Před 7 lety +1

    this is very helpful, thankyou!

  • @guneshworisamukcham603
    @guneshworisamukcham603 Před rokem +8

    crying cuz i forgot all about this and have to relearn it all 💀🤡

  • @supercali3787
    @supercali3787 Před 2 lety +1

    thanks for this. this is awesome. I'm starting to enjoy mathematics

  • @anishk9151
    @anishk9151 Před 3 lety +3

    "JAI HIND DOSTON "🇮🇳

  • @bacmoe9280
    @bacmoe9280 Před 6 lety

    Thanx a-lot u are helping me .. thank God 🙏for having good ppl who would love ❤️ to help others for nothing .

  • @blaigneramos2575
    @blaigneramos2575 Před 8 lety

    thAnks to this...now I know...this is so easy.yet when our teachr discussed it..it seem to complicated ......BIG BIG THANKSTO THIS!!!!!!

  • @gangadharmore3642
    @gangadharmore3642 Před 6 lety +1

    Best explanation! Finally understood!!

  • @brycenyswonger3087
    @brycenyswonger3087 Před 2 lety +1

    What is the name of the man who does these lessons? He needs an award.

  • @nataliaesquivel6474
    @nataliaesquivel6474 Před 2 lety +2

    I spaced out most of my class so Kahn Academy don’t let me down :,) I’ll update and see if this helped me
    Edit: IT DID I MAKE A PRETTY GOOD GRADE ON MY TEST

  • @mihaeladog7187
    @mihaeladog7187 Před rokem

    Awesome. Thank you . I had this question on the assignment due after march break . Thank you .

  • @erenthebombjaeger
    @erenthebombjaeger Před rokem +4

    I’m in my 3rd year of Uni taking mathematics of natural science and it’s hard because my prof assumes I remember everything from trig and algebra and all but it’s been over 3 years since I’ve taken a class like that so I feel so incredibly behind. I’ve always liked math but I’m struggling a lot rn

  • @samantasunanda
    @samantasunanda Před 2 lety +1

    Thank you, you make it look so easy.

  • @amnaaziz4659
    @amnaaziz4659 Před 3 lety +2

    no one has ever made me understand maths like this before

  • @theexplorer7139
    @theexplorer7139 Před 6 lety +2

    Thank you! I have an exam tomorrow.

  • @yasminahmed9168
    @yasminahmed9168 Před 10 lety +1

    Thanks alot its really helpful

  • @oblivionpb7952
    @oblivionpb7952 Před měsícem +1

    Watching this 20 minutes before my unit test

  • @christianbriones5971
    @christianbriones5971 Před 2 lety +1

    Thank you for your video😊.It helps a lot😊

  • @fakemlbb8470
    @fakemlbb8470 Před 3 lety +2

    How to solve:
    Function. Domain. Range
    1.y=7-5x. ? ?
    2.y=2x²
    3.y=squareroot of X
    4.y=-x²
    5.y=10-3x

  • @zenyi2223
    @zenyi2223 Před 6 lety +1

    OMG This is actually so good

  • @sahibamehry5596
    @sahibamehry5596 Před 3 lety +2

    I am going to get 2 points tomorrow because of this video. Thanks, Khan Academy !!

  • @rodwayworkor9202
    @rodwayworkor9202 Před 6 lety +7

    Hi Sal, pretty well with the graph explanation but make it a bit simpler. Find f(x)=y such that the determinant is negative and the number turns imaginary. Since for y=-5, you get 3(x-1)^2 and hence the determinant must be 0 because there are equal roots, any y below -5 would make the discriminant 0 and hence the range is [-5,∞). This is what I was taught in 8th grade.

  • @dodobird7274
    @dodobird7274 Před 2 lety +2

    Omg thank you so much! Literal life saver 😭❤️

  • @k0rnluvr
    @k0rnluvr Před 5 měsíci

    so helpful, thanks a ton.

  • @samuraidemon5893
    @samuraidemon5893 Před rokem +1

    I’m learning this literally right before a test 💀

  • @salamlababidi3042
    @salamlababidi3042 Před 7 měsíci

    khan academy literally always saving my semester!

  • @FunCode123
    @FunCode123 Před 3 lety

    Thank you for this video, I am in Algebra 2, but I don't have a teacher assigned yet soooo... ye thanks! :)

  • @makabentacedricivanv.626

    very very helpful thankyou sir :D

  • @bobur.yusupov
    @bobur.yusupov Před 3 lety +1

    Very good!!! Good luck to Khan Academy Group

  • @cookieguy1770
    @cookieguy1770 Před 2 lety

    Very helpful, thanks.

  • @Siyanaaaaaaa
    @Siyanaaaaaaa Před 2 lety +4

    we have a test over this tomorrow and i still don't get it 👁👄👁

  • @snehasruthi5655
    @snehasruthi5655 Před 2 lety

    Thank u sir , it was very useful.....🙏🏻

  • @kimiey4006
    @kimiey4006 Před 6 lety

    wow..thanks you..nice explaination

  • @jalilnaibi2644
    @jalilnaibi2644 Před 5 lety

    brilliant lesson!!!

  • @FadiDako
    @FadiDako Před 6 lety

    Ive got a math test tomorrow thx so much for thd help

  • @HonkYeahArson
    @HonkYeahArson Před rokem +1

    Currently having a mental breakdown, but I still got math homework so here i go >:(
    Really shows just how messed up the school system is...

  • @azkia08
    @azkia08 Před 2 lety +1

    i can feel my head pulsating

  • @karinalevin9485
    @karinalevin9485 Před 4 lety

    my prof decided since carona us math students dont DESERVE ZOOM LECTURES ( even tho my tuition is paying for them) god bless you bro

  • @carsonclark4416
    @carsonclark4416 Před 5 měsíci

    Academic comeback of the century

  • @iftekhar7266
    @iftekhar7266 Před 8 lety +1

    EXCELLENT LECTURE INDEED!!!

  • @christopherteo4446
    @christopherteo4446 Před 2 lety +1

    I love your lesson I learn a lot from watching this ☺ but 1 thing that I didn't understand is the range on the last part..

  • @daddiedavis
    @daddiedavis Před 3 lety +4

    Him: Talks about imaginary numbers
    Me: *What now*

  • @zenypie
    @zenypie Před 2 lety +2

    I spaced out while watching this

  • @m.ehsaan.
    @m.ehsaan. Před 7 měsíci

    One can also calculate the range by using differentiation... That'll make it easier. But yeah, this falls into algebra, before the calculus. So, great.
    Btw, thanks a mountain for this video! 🎉

  • @i_guess_im_doing_this_now

    *10 years and i still don't understand*

  • @Astra20284
    @Astra20284 Před 6 lety

    Wow! Sir you are great

  • @hudachanna4918
    @hudachanna4918 Před 5 lety

    Thanks a lot for your videos

  • @elizabethmcbain5438
    @elizabethmcbain5438 Před 8 lety

    is there anyway to get a written out copy of what was covered in the video because it was helpful and i want to refer to it later in my notebook

  • @mayajohnson5011
    @mayajohnson5011 Před 5 lety +7

    I understand domain, but range is still confusing. Like why can’t it be lower than -5?

    • @alietan278
      @alietan278 Před 4 lety +3

      Maya Johnson because the minimum point of the graph is and always will be equal to or more than -5.

    • @lykafruelda5901
      @lykafruelda5901 Před 3 lety +1

      It can't be less than -5 since the parabola from its vertex move upward

  • @nickgaina4607
    @nickgaina4607 Před 10 lety

    Thank you!

  • @adventuresofgaara8936
    @adventuresofgaara8936 Před 6 lety

    Studying for a math test this helped...

  • @sympetrum667
    @sympetrum667 Před 4 lety +9

    our Domain and range only has {x|x} or {y|y}, no graphs or table of values, how about that???

    • @FKacademy
      @FKacademy Před 3 lety

      You may like to check my video too on intercepts, domain, and range

    • @FKacademy
      @FKacademy Před 3 lety

      You may like to check my video too on intercepts, domain, and range

  • @nlebigpapa5336
    @nlebigpapa5336 Před 3 lety

    Am I the only one that loves this guys voice

  • @someoneintheworldiguess8625

    Thanks for the explanation, you're clapped.

  • @namthippvannalathh2273
    @namthippvannalathh2273 Před 3 lety +1

    Thank you, you save me through high school😂

  • @aryankarnwal8516
    @aryankarnwal8516 Před 4 lety +12

    2019 squad where you at

  • @crossfadez5521
    @crossfadez5521 Před 3 lety

    thank you teacher.

  • @alaylay9450
    @alaylay9450 Před 3 lety +1

    Crying over my homework right now because it's overdo and I still don't understand ;)

  • @nafiskhan8801
    @nafiskhan8801 Před rokem

    Love from Bangladesh 🇧🇩 ❤ sir

  • @xgreg3r
    @xgreg3r Před rokem

    BRO ur a lifesafer

  • @Sigmamale65320
    @Sigmamale65320 Před rokem

    Thank you so much sir