Writing an Absolute Value as a Piecewise-Defined Function

[@joshuathomas5302]

You did a better job at explaining this then almost every math teacher in my school. You sir, deserve a cookie.

[@jipo4335]

That's so true

[@farronabysswatcher1881]

And he did that in 5 minuets

[@amityrosie1666]

it took my teacher 2 days to explain this wtf

[@noahgargano290]

That’s so true. My teacher tried and I don’t understand

[@alitr-tf1dc]

even after 12 years your still helping us thank you so much 💙💙

[@tracieshaw2323]

this is like the best explanation ever

[@anushervonrakhmatov3802]

this is the most comperhensive explanation in the whole youtube that i found

[@TehYumehChan]

Thanks a lot for the video. I really value people such as yourself taking the time to make videos to explain this. Not all teachers/textbooks do an adequate job, so it's amazing having these kinds of resources readily available on youtube.

[@TheMapleBean]

If teachers taught like this we'd be lightyears into the future

[@w3jd4n]

even after 10 years rn you're still helping those who take calculus, thank you sir

[@jamilokrin9066]

im taking those stuff in 10th grade

[@w3jd4n]

@@jamilokrin9066 10 years in duration, not the school year

[@kurawtw]

@@w3jd4n bro what are you talking about I did this in 8th

[@alitr-tf1dc]

@@kurawtw wtf iam in 6th grade

[@ITSDAVIDRAY]

Thank you! Straight to the point... Didn't like the triangles at first but helped with realization.

[@KingZahlaf]

omg the triangles -.-

[@alsomeness212]

Yo i learned more in this 5 min youtube video than my last two 1 hour and 30 min math classes

[@Ap3xful]

You can't really have a negative number that's less than or equal to zero, since technically zero is a positive number. So negative numbers can only be less than zero. Hence why he only puts a < sign. Hope this helps!!

[@anushervonrakhmatov3802]

Daniel, my gratitude to you

[@YakRuski]

Old video, but gold. It is like the Wikipedia of this subject. Wikipedia saves many students, and so does this video. You have my thanks.

[@S-be6gz]

Whoever sees this, God bless you and have a good day!

[@LeonardoCruz-yf3qx]

What an EXPLANATION!!!! Thank uuuuu

[@anileation]

i think i can hear someone gaming in the background

[@samkelosamkelo3950]

Thank you so much, Sir. Your explanation is clear and quite helpful.

[@JossinJax]

Thank you, I really needed this.

[@jayoberlander2954]

How do you determine whether it is equal to or not equal to in addition to less than or greater than?

[@boonk9909]

bruh

[@davecolombia]

thank you so much, I am proud to say that I discovered this, for myself, while studying mathematics and was looking for a vid to see if this was a true discovery

[@jamesdesantis9420]

Great job, sir!

[@not_dyman4561]

I fkn love you daniel, thanks so much

[@rasverixxyleighraq1509]

Can you do the opposite to get an absolute function from a piecewise?

[@erikg1602]

you are a hero

[@two-to-tango]

THANK YOU SO MUCH

[@K9xRiptide]

Thanks! I have a test tomorrow and my teacher frankly does not did not do a very good job of explaining this

[@vivienli5221]

incredibly well done, i understand it so well now!

[@RossRocks07]

thanks you so muchh!! my textbook was confusing me..this video made it all clear.

[@mattkriese7170]

Great explanation. Thank you :)

[@soliantushi]

What if there is 2 absolute value function in an equation. For example : g(x) = 3Ix-2I - Ix+1I?

[@anileation]

i think you would have to have 4 different options then instead of two like in the last example

[@VishnuuGopi]

you are amazing

[@noon8681]

Well done mate.

[@itxLenax]

Random comment but you sound like jack stauber and dream lol
also thanks for the video :)

[@Bladeninja76]

Thanks, my online class isn't very helpful so far.

[@adriantsai3542]

Hi I’m from the future, we all have online classes now lol

[@travisbolin4589]

im lost on how he got -3/2

[@TheTF2Enthusiast]

How about something like f(x) = 2|x|

[@linfordchan6191]

may god bless you :)

[@nicoangeladimartino2047]

Amazing explanation. Saved my day :P

[@sychomadman]

Thank you so so so much.. 🙏

[@thechalkbagdiaries]

Thanks man! This is very helpful

[@KaylaJones98]

Why did you put just less than instead of less than or equal to on the f(x)=|x-3| problem?

[@anileation]

Because the denominator cannot be equal to zero which is why he put less than and not less than or equal to

[@kaitlinfell5252]

im helpless

[@mohamaddaas1208]

can you help me solve a problem??

[@maddiebender560]

Thank you so much!!

[@Hello-ww7xr]

Thank you so much

[@russianearlgrey1213]

Thank you so much sir

[@LearnToday247]

Thank u very much
It helped me a lot

[@veggie3927]

thank you so much

[@BeloryThorn]

Thank you.

[@davecolombia]

when do you usually learn this. WIll I see it in pre-calc or calc?

[@Super2cool2]

I want to know about this too!

[@chrishope4659]

Is he using his mouse??

[@vladav313]

Hi Daniel,
Thank you for this video but just a quick clarification if you don't mind. Would the process outlined here be the same if you were asked to express an absolute value of a quadratic function as piecewise defined function or would it change?
Thank you in advance

[@quacksenior]

it should, just make the first one greater than or equal to.

[@sharankaur902]

Thanks, great !

[@tigers10vb]

thank you!

[@MohammadShimel]

🌺🌺🌺🌺🌺🌺🌺

[@CahootsLols]

Thank you :)

[@angiCMYK8]

thanks man

[@Jad8934]

THANKS!

[@comicstwisted]

finally I understand

[@canadianthroneholder]

pre calc

[@xnellynguyen]

Makes sense thanks

[@ahmedabdalla1738]

انت اسطورة

[@dmanshotdown]

thx Bro!

[@sujivlr]

LOVE YOU DANIEL 🥰💦😭😩😩

[@nk-ej3hq]

Yes

[@undeadmeat1917]

I love you

[@bbgr9239]

Jesus Christ loves you 🥺

[@fakefake5751]

not helpful

[@BeloryThorn]

Why wasn't it helpful?

[@injhs]

Horrible

[@hsaj4606]

What if there is 2 absolute value function in an equation. For example : g(x) = 3Ix-2I / Ix+1I?

[@Ethiokarate1]

Then you get on your knees and pray 😂

[@Kemdost]

Thanks!