Exponential growth functions | Exponential and logarithmic functions | Algebra II | Khan Academy

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  • Опубликовано: 15 дек 2024

Комментарии • 247

  • @Ty1350
    @Ty1350 6 лет назад +890

    I'm not sure if this gets said much, but I really appreciate that you guys not only post these videos for free, but make them simple and comprehensive too. I also like how the examples used aren't boring as hell, and keep me happy while studying. Kudos.

  • @piequals314
    @piequals314 3 года назад +110

    I just struggled to understand a homework problem for 30 minutes trying to use my teacher's lesson and you answered it in the first three minutes... thank you so much

  • @FraserSouris
    @FraserSouris 9 лет назад +389

    "Well that escalated quickly"

  • @yitjet3618
    @yitjet3618 5 лет назад +213

    "Your hair would fall off, you would marry a frog."
    - Sal Khan, 2010

  • @jawknee221
    @jawknee221 13 лет назад +43

    Every time I need to refresh my memory, or learn something new in math.. I type in the keywords, followed right by Khan.. Thank you Khan.. We needed you:)

  • @putrialifa7599
    @putrialifa7599 9 лет назад +84

    My teacher recommend me ur videos for further studying.. And I tried to give it a try.. Well I studied this lesson already but I like the way u represent ur work.. And some jokes in it.. And I think I found ur videos really valuables!! It actually goes in my brain whatever ur talking abt.. Nice!!

    • @sreelakshmiv863
      @sreelakshmiv863 6 лет назад

      Where do u study, were you in high school when you were taught exponential and logarithmatic functions

  • @lifewitjani
    @lifewitjani 3 года назад +35

    The fact that this channel has been here for 14 years and post all the time is legendary to me

  • @legendaryzay7441
    @legendaryzay7441 3 года назад +7

    Psalms 27:14 - Wait on the LORD: be of good courage, and he shall strengthen thine heart: wait, i say, on the LORD.

  • @seas_day
    @seas_day 9 лет назад +67

    "i" before "e" except after "c" LOL, thought I was the only one who still did that

  • @etramway
    @etramway 14 лет назад +14

    Starting with a negative exponent is a great idea. It really makes it clear for the student.

  • @Maria-ru8gd
    @Maria-ru8gd 8 лет назад +12

    This website has saved my ass so many times. In our math class we're supposed to teach the class ourselves (a pair teaches a lesson a day) and two morons "taught" this today and gave us all even problems so we can't check anything in the back. I hope I'm doing it right. Thanks :)

  • @ahmadabdulhafiz9522
    @ahmadabdulhafiz9522 2 года назад +5

    6:45 Receive "i" before "e" except after c

  • @jazzle9121
    @jazzle9121 4 года назад +4

    Im 17 yrs old and this is the first time i learned the "i before e, but except after c" chant. Thank u

  • @legendaryzay7441
    @legendaryzay7441 3 года назад +2

    Isaiah 41:10 "Fear not, for I am with you. . . . I will strengthen you, yes, I will help you, I will uphold you with My righteous right hand." God will help! All of us confront fearful situations, and when we do remember that we are children of God and we must claim the promises that belong to us. He gives us His strength and courage. God helps His children. Never be ashamed about your faith, especially in times of fear. Instead put God first in your life and He will uphold you with His 'righteous right hand'
    You guys should join me in saying a prayer "Father, I know I cannot escape this world's troubles, But I also know You will strengthen and help me" Amen!

  • @aali-in6lc
    @aali-in6lc Год назад +2

    thak u for being so patient, my math lecturer during online classes was so impatient and rude, but you have patience... may god bless u

  • @hectorquinones5579
    @hectorquinones5579 4 года назад +63

    Is anyone else here because of COVID19?

    • @sienna8855
      @sienna8855 4 года назад +3

      Yeah I don’t understand algebra at all 😃🤚🏼

    • @EvannLopezzz
      @EvannLopezzz 3 года назад +1

      @Caleb Chenowith ah as I am from the you have no idea that was the only the beginning

  • @johnholme783
    @johnholme783 6 лет назад +2

    He’s your man for an intuitive grasp of mathematics. Simple clear explanation.

  • @bar111a.5
    @bar111a.5 2 года назад +4

    Short, clear, awesome-ly explained, excellent video! Thank you!

  • @annc6152
    @annc6152 7 лет назад +33

    i hate my percale teacher so much omg we have 80 minutes of class bc of bloc schedule he only explains for like 5-10 mins and lets us do hw it's like he doesn't give a fuc on this topic the other day he was like yeah jus plug it into the calculator bruh i want him to explain everything i wanna be interested in math but he jus makes me hate it so much

    • @McDowella420
      @McDowella420 6 лет назад

      Is the worst thing about school for you the dementors?

  • @BudiArsana
    @BudiArsana 4 года назад +3

    OMG, this video is so fun to watch. The example also give me an idea where this function could be used in real life. Thank you soooo much.

  • @amrelshabasy1183
    @amrelshabasy1183 2 года назад +5

    Thanks, guys! the way you deliver the knowledge is outstanding.

  • @boxed_water7624
    @boxed_water7624 3 года назад +7

    Nobody:
    The THX sound: E X P O N E N T I A L I N C R E A S E

  • @wise_man4479
    @wise_man4479 5 лет назад +3

    he always repeats so many things so many times but i like it because it makes me understand more

  • @Mauledbycats
    @Mauledbycats 10 лет назад +10

    a little confusing but helped

  • @Joseph-yx5mt
    @Joseph-yx5mt 9 лет назад +2

    Hey, his word problem was also a really good example of spam :3
    But it was a fairly good example of showing the exponential growth.

  • @kingsaucy2503
    @kingsaucy2503 5 лет назад +1

    You have no idea how much you’re helping me study for my quiz tomorrow

  • @itchyclothingtags
    @itchyclothingtags 5 лет назад +8

    Very late comment but thank you for this video! It helped me because I started tutoring late and they were doing logarithm graphs and I didn't even know exponentials! I love your channel, if you even see this keep up the great work.

  • @Seattle206723
    @Seattle206723 14 лет назад +2

    OMG Man you are the Man.. You explained this to me and added with what I was learning I turned the curb on this stuff. Thank you Sal

  • @averagestudent3505
    @averagestudent3505 2 года назад +1

    I like this video because it explains a lot more than other videos in just a little bit of time.

  • @heart4vi
    @heart4vi 2 года назад +2

    "now send this chain to 10 more new people and if u dont you're going to have bad luck and ur hairs gonna fall out and ur gonna have to marry a frog" LMAO I LOVE THIS GUYYY

  • @caittyk
    @caittyk 13 лет назад

    That last problem is a good example of how youtube videos go viral so quickly. I usually share viral vids with people who wouldn't normally even be surfing youtube.

  • @Snackzies94
    @Snackzies94 Год назад +1

    thank you for this! I learned more in this video than in a 2 hour class haha

  • @bethechange1226
    @bethechange1226 9 месяцев назад

    U are out here saving lives, thank u

  • @slendi9623
    @slendi9623 3 года назад +1

    This guy explains in 8 minutes wayy better than my teacher does in an hour or two

  • @BlueCircle0
    @BlueCircle0 4 года назад

    These videos should get more attention.

  • @miakayuki1068
    @miakayuki1068 3 года назад +3

    I realized you sound a bit like Rap Monster

  • @karthik1372
    @karthik1372 2 года назад

    Chaala Baga chepparu guruvugaru

  • @Daniel_wn8k
    @Daniel_wn8k 5 месяцев назад

    Hey, your Sales Incentive payment is all sorted out and good to go!

  • @timsonss
    @timsonss 2 года назад +1

    my favourite video, because of the chain letter word problem

  • @AbdPSN
    @AbdPSN 7 месяцев назад

    thanks a lot your a life saver I have finals soon and you just teached me this in 7min while my teacher couldn’t in many classes

    • @Still_Eternal
      @Still_Eternal 7 месяцев назад

      Taught is the past-tense of teach, teached isn't a word. But I agree with this statement, this channel is amazing.

  • @tzerou411
    @tzerou411 3 года назад +2

    Exponentials are so relatable. They are very dramatic.

  • @kukuPhilimon
    @kukuPhilimon 4 месяца назад +2

    Your hair Will fall off 😅 Marry a frog 😅.. BLA BLA 😂
    Thank you.. watching you from ZAMBIA Africa. (UNZA)
    God bless you 🙏

  • @Indigoempath25
    @Indigoempath25 3 года назад +1

    This actually helped me out a lot. Wow!

  • @tannerfeist71
    @tannerfeist71 10 лет назад +2

    thanks helped a lot!!!!!

  • @farreldelosreyes5053
    @farreldelosreyes5053 2 года назад

    Short and clear my teacher had me see this and he gave a good recommendation.

  • @avinandan2008
    @avinandan2008 4 месяца назад

    This video is still helpful! Thanks Khan Academy for this valuable video. :)

  • @jeyarulz
    @jeyarulz 14 лет назад +2

    If you don't send that chain letter your hair will fall off or you'll marry a frog... LOL!! I get those all the time... xD
    Love your sense of humor!

  • @msleslieee
    @msleslieee 14 лет назад +1

    soooo helpful! even though this is easy stuff still very helpful... thanks for doing this!

  • @definitelynotfbi119
    @definitelynotfbi119 3 года назад

    Wayyyy better than ALEXS, thanks man!

  • @antonsolomko
    @antonsolomko Год назад

    Exponential and logarithmic functions appear naturally as solutions of two most simple functional equations f(x+y)=f(x)f(y) and f(xy)=f(x)+f(y) so ubiquitous in science

  • @lee-nv2xs
    @lee-nv2xs 3 года назад

    teachers should learn from you

  • @zillabeast
    @zillabeast 2 года назад

    Thank you! Lightbulb went off for me too!

  • @dorki3
    @dorki3 13 лет назад

    You are the only reason why I am still in college. I can't stand math. Your vids is like my actual online tutor!

  • @karya5716
    @karya5716 4 года назад +3

    my teacher went literally so fast while teaching this so I just had to research on my own

  • @DogeFrom2014
    @DogeFrom2014 9 лет назад +8

    Either that there aren't enough likes on this video or there are too many dislikes on this video..............

  • @drewarober
    @drewarober 12 лет назад +1

    your videos are awesome, thanks soo much!!!

  • @farrahharrabi3039
    @farrahharrabi3039 3 года назад +2

    Pov : u didn’t understand anything in class so u have to rely to yt

  • @madhuniveditha1144
    @madhuniveditha1144 3 года назад

    this is still useful after 11 years

  • @Marahxtb
    @Marahxtb 12 лет назад +1

    YOU ARE AMAZING OMG

  • @CK_Tennis
    @CK_Tennis 8 месяцев назад

    Completed

  • @aadilbhatt007
    @aadilbhatt007 5 лет назад +1

    Perfect ❤️

  • @johnwauters8576
    @johnwauters8576 Год назад +2

    9×9=81

  • @pnguyena512
    @pnguyena512 12 лет назад +1

    khan! can you do a logistic growth function for algebra 2 level video? thankyou.

    • @MZKI201
      @MZKI201 3 года назад

      after 9 years he sadly never responded

  • @thatomothapo4804
    @thatomothapo4804 Год назад

    great content... it was good revision for me and this lesson was funny at the end 😄

  • @LaShawnLatera
    @LaShawnLatera 2 года назад

    Thank you!

  • @leidenjun
    @leidenjun 4 года назад +2

    i don't wanna marry a frog. I gotta send those letters now ...

  • @greyalton5247
    @greyalton5247 4 года назад +1

    How did you get -4 as an x-value? Did you just pluck it out of thin air?

    • @Anna-kj3np
      @Anna-kj3np 2 года назад

      Yeah he just picked an x value

  • @jeyarulz
    @jeyarulz 14 лет назад

    @ashthegreat I've seen him use that for a slightly complicated graph like the trig functions. Here probably he just wanted to present discrete values to show the extent of growth...

  • @layanaolayan5776
    @layanaolayan5776 2 года назад

    You saved me

  • @aakashrules123
    @aakashrules123 9 лет назад +1

    I thought the formula for exponential growth was y=a(1+r)^t where y is the final amount, a is the original amount, r is the growth rate, and t was the time? Am I missing something?

  • @aselim20.
    @aselim20. Год назад +1

    I wrote it.

  • @JoaoGabriel-jv1tt
    @JoaoGabriel-jv1tt 2 года назад +1

    I'm Brazilian , but even though O don't understand English Very well , O can only follow the numbers

  • @AngelCruz-qq8xq
    @AngelCruz-qq8xq 5 лет назад

    shows me better than my old cranky teacher

  • @jakethesnake576
    @jakethesnake576 12 лет назад

    Actually, if I under stand this right on the 6th week 1,000,000 are SENT, but so far 1,111,110 people have RECIEVED the letter, you'd run out of people before week 9!

  • @effahsaleh4754
    @effahsaleh4754 11 лет назад +1

    lol chain letters great example!

  • @krazed98
    @krazed98 6 лет назад +1

    Lord knows i dont want my hair to fall out or marry a frog... LOL! Great explanation with chain letters. The problem that sent me here was bacterial growth, however your explanation was easier for me to visualize.

  • @musheer4095
    @musheer4095 3 года назад +2

    This is the most hilarious problem I’ve done

  • @MrUnladenswallow
    @MrUnladenswallow 12 лет назад

    6:45 KHAN ENGLISH YEAAAAHHHH!!!!!

  • @latenightorgandonor
    @latenightorgandonor 3 года назад

    Watching this at 1o’clock.😄

  • @drewarober
    @drewarober 12 лет назад

    3:21 seconds is the best thats what whe said!!!

  • @writer684
    @writer684 7 месяцев назад

    Each next step is a tripple of the previous becasue it start with 3 as a base?

  • @شيخةشيخة-ك6ف
    @شيخةشيخة-ك6ف 2 года назад

    لبى فهمت عليك

  • @deputy_alex1272
    @deputy_alex1272 5 лет назад

    Thanks

  • @raidahmariano8707
    @raidahmariano8707 4 года назад

    What are the possible values of x? Is it the values of x given in the table? Can someone answer this please?

  • @goodman68446
    @goodman68446 9 лет назад

    these can help

  • @raulsantinolopezrodriguez8349
    @raulsantinolopezrodriguez8349 Год назад

    Gracias por lq clara explicación

  • @alexandrafernandez1849
    @alexandrafernandez1849 4 года назад +1

    how coronavirus cases are increasing

  • @IzzoYouTube
    @IzzoYouTube 4 года назад +1

    When people heard about to marry a frog they might be sent 100 people the letter a week 😂

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    @Helen___j5r 5 месяцев назад

    Be part of an exclusive interview with the CEO of Binance to gain insights into future developments

  • @shishirdixit5996
    @shishirdixit5996 4 года назад

    Sir, regarding exponential distribution, is it correct that both mean and standard deviation of an exponential distribution is the same and if so could you please explain how.

  • @ryanperez8179
    @ryanperez8179 2 года назад +1

    And, behold, I come quickly; and my reward is with me, to give every man according as his work shall be.
    Revelation 22:12 KJV
    Jesus lives
    Jesus Christ is Lord
    Jesus loves you repent
    You're a sinner in need of a Savior

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    @Steven-e5Steven_526k 5 месяцев назад

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  • @yourworstnightmare285
    @yourworstnightmare285 Год назад

    Discalcula enters the chat

  • @pawarischaroenchuai9083
    @pawarischaroenchuai9083 4 года назад +1

    It’s really explode.

  • @kiaraperez2132
    @kiaraperez2132 4 года назад

    When your teacher can't teach so you go to this guy :)

  • @divacutegirl9999
    @divacutegirl9999 9 лет назад +7

    the exponential graph isnt touching the x-axis because there is an asymptote right ?

  • @dieforyou8857
    @dieforyou8857 4 года назад

    I really like how excited he sounds about exponential functions lol.
    I'm not that into math, but the only way I'd sound this excited is if someone asked me about Korean.
    I should stop commenting and just study though...

  • @AlexisAkporute
    @AlexisAkporute Год назад

    Where do you get the numbers from the table from

  • @Todoslosfritos
    @Todoslosfritos 13 лет назад

    ooooohh! Nice pen!

  • @SuperFreakyZekey
    @SuperFreakyZekey 12 лет назад +2

    4:03 Wouldn't even fit on my screen!
    2nd best