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

Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/alge...
Exponential Growth 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: kzbin.info_...

[@Ty1350]

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.

[@ankitaaarya]

@CHEM-G ALL Rounder what

[@dragospahontu]

Lol

[@zoefayadh4327]

when i watch them the make more confused

[@mariambarakat7930]

They are not simple they explain to complicated

[@Lukenzog]

​@@dragospahontuiiiūiiiiū

[@FraserSouris]

"Well that escalated quickly"

[@TheRatt96]

Khan't believe it did

[@TragTheGamer]

lol

[@LukeCampbellATL]

lol

[@krazed98]

I see what yall did there... lol

[@abdultarsha7531]

We got a comedian over here!

[@piequals314]

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

[@Basel_hakam]

same

[@yitjet3618]

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

[@Helios0Nation]

Lol

[@ongzz]

lmao

[@yangmingsim1882]

HAHAHAHAHAA

[@lifewitjani]

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

[@Maria-ru8gd]

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 :)

[@putrialifa7599]

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]

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

[@seas_day]

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

[@crazy_pyromaniac]

Or when it sounds like "ay" as in "neighbor" or "weigh".

[@Brandon-xm4mp]

nope i do too

[@jawknee221]

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:)

[@annc6152]

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]

Is the worst thing about school for you the dementors?

[@legendaryzay7441]

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

[@aali-in6lc]

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

[@jazzle9121]

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

[@etramway]

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

[@ahmadabdulhafiz9522]

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

[@johnholme783]

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

[@bar111a.5]

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

[@boxed_water7624]

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

[@BudiArsana]

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]

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

[@kingsaucy2503]

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

[@averagestudent3505]

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

[@heart4vi]

"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

[@itchyclothingtags]

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.

[@msleslieee]

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

[@Indigoempath25]

This actually helped me out a lot. Wow!

[@Mauledbycats]

a little confusing but helped

[@Joseph-yx5mt]

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.

[@Snackzies94]

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

[@bethechange1226]

U are out here saving lives, thank u

[@farreldelosreyes5053]

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

[@jeyarulz]

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!

[@nakiro1646]

@@ahmadshayriah5734 are you alive?

[@naquihasanshamsi9937]

@@ahmadshayriah5734 wth

[@naquihasanshamsi9937]

Wow you both are very curious 🤨

[@drewarober]

your videos are awesome, thanks soo much!!!

[@zillabeast]

Thank you! Lightbulb went off for me too!

[@wise_man4479]

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

[@nocturnalvisionmusic]

Me too 😌

[@tannerfeist71]

thanks helped a lot!!!!!

[@BlueCircle0]

These videos should get more attention.

[@slendi9623]

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

[@hectorquinones5579]

Is anyone else here because of COVID19?

[@sienna8855]

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

[@ace7441]

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

[@timsonss]

my favourite video, because of the chain letter word problem

[@tzerou411]

Exponentials are so relatable. They are very dramatic.

[@raulsantinolopezrodriguez8349]

Gracias por lq clara explicación

[@karya5716]

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

[@Seattle206723]

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

[@joseppiboomer]

ten years ago

[@daviddaasian9685]

two years ago@@joseppiboomer

[@joseppiboomer]

@@daviddaasian9685 the math packet goin into freshman year was tough man

[@dragonofthewest8305]

I don’t know much about maths but I just wanted to know what is the difference between Phi/ the golden ratio and Euler’s number/e and are the the same as or connected to the progression/Logarithmic Curves ?

[@Daniel_wn8k]

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

[@thatomothapo4804]

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

[@karthik1372]

Chaala Baga chepparu guruvugaru

[@caittyk]

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.

[@Marahxtb]

YOU ARE AMAZING OMG

[@madhuniveditha1144]

this is still useful after 11 years

[@aadilbhatt007]

Perfect ❤️

[@MrUnladenswallow]

6:45 KHAN ENGLISH YEAAAAHHHH!!!!!

[@definitelynotfbi119]

Wayyyy better than ALEXS, thanks man!

[@farrahharrabi3039]

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

[@thearabguy6807]

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]

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

[@shishirdixit5996]

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.

[@DogeFrom2014]

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

[@effahsaleh4754]

lol chain letters great example!

[@drewarober]

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

[@dorki3]

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

[@goodman68446]

these can help

[@lee-nv2xs]

teachers should learn from you

[@krazed98]

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.

[@legendaryzay7441]

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!

[@nocturnalvisionmusic]

Amen to this. 😌🤗🙏

[@aakashrules123]

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?

[@musheer4095]

This is the most hilarious problem I’ve done

[@JoaoGabriel-jv1tt]

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

[@AngelCruz-qq8xq]

shows me better than my old cranky teacher

[@writer684]

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

[@antonsolomko]

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

[@user-sp4qq1wl9y]

لبى فهمت عليك

[@greyalton5247]

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

[@Anna-kj3np]

Yeah he just picked an x value

[@pnguyena512]

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

[@MZKI201]

after 9 years he sadly never responded

[@dieforyou8857]

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...

[@Todoslosfritos]

ooooohh! Nice pen!

[@alexandrafernandez1849]

how coronavirus cases are increasing

[@LaShawnLatera]

Thank you!

[@Lius525]

@theparimo michael scott would be proud :)

[@thebiggestobjfan3344]

tnx

[@pundarikah]

"and by the 9th week you'd have 1 billion people, and frankly the week after that you would run out of people"

[@jeyarulz]

@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...

[@rbxgamerz10]

is this acc still live?

[@AlexisAkporute]

Where do you get the numbers from the table from

[@deputy_alex1272]

Thanks

[@raidahmariano8707]

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

[@pawarischaroenchuai9083]

It’s really explode.

[@CK_Tennis]

Completed

[@Brandon-xm4mp]

did anyone keep track of how many times sal said explode in the video?

[@kiaraperez2132]

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

[@SuperFreakyZekey]

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

[@copacarad]

thx

[@SuperFreakyZekey]

Especially with that noise.

[@Helen___j5r]

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

[@TalentedM2]

"and you'll marry a frog"

[@katierovo293]

On the table how do you even get the numbers like how do you go from 81 to 27 to 9

[@solsoria3467]

No podian poner subtitulos al español?

[@miakayuki1068]

I realized you sound a bit like Rap Monster

[@jakethesnake576]

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!

[@leidenjun]

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

[@SV42165]

Watching this at 1o’clock.😄