How to Find the Domain of Any Function (NancyPi)

Рет қаралды 1,325,384

6 жыл бұрын

MIT grad shows a surefire way to find the domain of any function. To skip ahead: 1) For POLYNOMIAL only, skip to time 0:45. 2) For FRACTION only, skip to time 1:44. 3) For SQUARE ROOT only, skip to 5:08. 4) For SQUARE ROOT ON BOTTOM of Fraction, skip to 8:44. 5) For SQUARE ROOT ON TOP of Fraction, skip to 10:09. Nancy formerly of MathBFF explains the steps.
For how to SOLVE QUADRATIC equations by FACTORING, jump to: • How to Solve Quadratic...
For how to SOLVE INEQUALITIES, jump to: • How to Solve Inequalit...
Follow Nancy on Instagram! / nancypi
Twitter: / nancypi
For Domain, you just need to watch out for Square Roots and/or Fractions!
If your function is...
1) a POLYNOMIAL (no square roots or fractions), i.e. f(x) = x^2 + 3x + 1, domain is "all real numbers."
2) a FRACTION (w/ no square root), i.e. f(x) = (2x+1)/(x^2+5x+6). Set bottom "not equal" to zero. Solve for x.
3) a SQUARE ROOT (w/ no fraction), i.e. f(x) = sqrt(x+1). Set part under root "greater than or equal to zero".
4) a FRACTION w/ A SQUARE ROOT ON BOTTOM, i.e. f(x) = (x^2+2x+3)/(sqrt(x+1)). Set part under root "greater than zero." Solve the inequality. NOTE THE DIFFERENCE: You must set it greater than zero, not "greater than OR EQUAL TO zero" because we can't have zero (or square root of zero) in the denominator.
5) a FRACTION w/ A SQUARE ROOT ON TOP, i.e. f(x) = (sqrt(x+1))/(x^2+4), i) Set the bottom "not equal to" zero & solve; ii) Set what's under the root "greater than or equal to zero" & solve; iii) Take intersection of your two solutions.
For more of my math videos, check out: nancypi.com

Пікірлер: 1 000

@ellarue3753 4 жыл бұрын

Ad: WHAT? STILL SEARCHING KZfaq FOR MATH HELP? Me: Yes. I am indeed. Because there are some really good teachers on youtube who deserve respect.

@aliashrar4704 4 жыл бұрын

I got the same ad buddy, like what do you want? to pay for a shitty service for the same lessons lol.

@aniyascott3180 3 жыл бұрын

ikr Mr.McLogan and her helps alot

@johnpostma4502 3 жыл бұрын

simp

@AhmedHassan-gz4tv 3 жыл бұрын

I got the same as too😂😂

@walterlozada1135 3 жыл бұрын

I always get that ad when I need math help😂

@jodymarshall1159 5 жыл бұрын

44 seconds in, and I already understand better then my teacher or text-book has been able to outline! Thank you so much!

@vrockzzzz 4 жыл бұрын

*Than.

@jimmyyang4779 3 жыл бұрын

@@vrockzzzz I'm 5 months late but stfu

@adg2302 3 жыл бұрын

than

@jadepinto4321 3 жыл бұрын

bro you're like a mom what do you need this for

@beetlejuicejr6133 3 жыл бұрын

@@jadepinto4321 lol, fr thats what im thinking

@ahmedzahid9079 5 жыл бұрын

I like how she broke up the different types of questions we can get

@YTRMoney 5 жыл бұрын

this... this... this is talent... writing backwords??? this girl deserves a noble peace prize

@icuppu2 5 жыл бұрын

She should have a spelling video, too, and maybe she just might win a Nobel prize.

@aidaaqilahmohdzin5542 5 жыл бұрын

Hahah. Actually i do think she recorded a selfie video. So,she wrote normally like us hehhe

@Miss__Victoria 5 жыл бұрын

actually anyone can write backwards with their non dominant hand. take a pencil in both hands and on two different pieces of paper or a whiteboard look straight ahead and try to write the same exact word with both hands. dont think about how, dont look at either hand. just write and look straight forward. its a mind trick I figured out in middle school. your dominant hand will be normal and the non dominant will be a mirror image. the left and right hemispheres of the brain control opposites sides of the body and can mirror each others movements if you just dont interfere by thinking about it. It freaks people out lol.

@realdealholyfield9616 5 жыл бұрын

Get some brain

@elmiralustiva7593 5 жыл бұрын

@@Miss__Victoria no it wont. if im a lefty, i will write from left to right. and so is my other hand.

@ryanwoodard5480 Жыл бұрын

Can we all just take a second to appreciate that not only is she doing a great job teaching math, but she is doing it while writing it backwards from her perspective.

@tobysmailes2064 Жыл бұрын

I recon she writes forward (for her) and then flips the video. Bottom line is we only know her backwards.

@Etk333 Жыл бұрын

She's not writing backwards dude lol

@ryanwoodard5480 Жыл бұрын

@@Etk333 Look again. She is writing with her left hand going from HER right to HER left. That is backwards.

@Etk333 Жыл бұрын

@@ryanwoodard5480 oh shit?? U might be right dude that's wild

@moonman1488 Жыл бұрын

@Ryan Woodard yeah, and that is exactly how it would look if she was writing normally with her right hand and then mirrored the video.

@Motherclucker369 5 жыл бұрын

If she didn't make her math videos, i would fail my math class. she's a saint.

@selmamoongo3639 4 жыл бұрын

You are the best, as a first year medical student this helped me more than my lecturer, its for 2018 but still useful in 2020. You are keeping me busy during this corona lockdown. May God bless you with more wisdom to share with us more.

@denisikonomi2019 4 жыл бұрын

This video is literally exactly what I needed. It's simple yet detailed which I really appreciate. Only thing that's missing is domain of exponentials but other than that it's pretty much perfect

@Thestoicrevolution-v5o 3 жыл бұрын

If you want to listen to a simple yet detailed relaxing lofi beat, I recommend: kzfaq.info/get/bejne/l7SAbNF3p7WwpX0.html&ab_channel=ZennyBeats

@SaeedAbdullaXO 2 жыл бұрын

prod. Akimbo u smooth

@ivyttea 3 жыл бұрын

Nancy, you are so helpful. You've helped me so many times when nobody else made sense. Please keep making these wonderful videos.

@alandaraz2550 7 ай бұрын

Because I can talk to this teacher، do you know him؟

@ericopoku-agyemang31 3 жыл бұрын

Nancy, the combination of your speed, demeanor and your knowledge make you a great instructor

@antoniapacheco4473 3 жыл бұрын

THANK YOU! My Pre-cal professor was not able to explain this to me as you did! you just helped me pass my exam.

@kaylagriffin7735 4 жыл бұрын

I’ve had TWO different teachers explain this to me and nothing, I tried khan academy and nothing. But you is a blessing because I understand every. Single. Word.

@destinyovbiebo8988 3 жыл бұрын

That shows that everyone is unique.

@ridasaleem4816 3 жыл бұрын

I have checked a lot of lectures but unable to understand this topic..But you made it simple🤩 ..Your way of teaching is impressive.. God bless you😊

@cowcatpro5395 4 жыл бұрын

I watched kahn academy 5 times and nothing helped this makes so much more sense thanks

@CALISUPERSPORT 4 жыл бұрын

Khan academy is hit or miss sometimes with their guides

@chenath9582 2 жыл бұрын

@@CALISUPERSPORT Khan academy does cover a lot of topics and even other subjects. So props do them!

@zhilubbae8707 2 жыл бұрын

I've gone through thousands of videos about this and non of them helped me one bit, but this video helped me tons a Million, She's amazing. Congratulations you earned yourself a new subscriber

@ericajeanz 3 жыл бұрын

this video really helps me a lot, your such a blessing to those who couldn't understand math that much keep it up!!!

@Zero-yv5vy 2 жыл бұрын

Amazing you made me understand the concept so easily and quickly, thank you so much!!!

@Zoobie16 4 жыл бұрын

Wow I have never enjoyed math this much. You are so calm

@mlkgal 3 жыл бұрын

God bless you. You're amazing. Teachers like you deserve more than the world man.

@MasoniteShadow 4 жыл бұрын

THANK YOU SO MUCH. nowhere else in any textbook or internet explained finding the domain as well as you have.

@uditsaxena3844 4 жыл бұрын

Thank you so much teacher lots of love u made learning super easy pls help others like this with much higher contents in an easy way infact u should charge for a course online u deserve it absolutely brilliant work 💖😍🌷🌷

@amandarobinson9382 4 жыл бұрын

Her videos were very useful for me and now I can help other people with their algebra

@mrjayd02 5 жыл бұрын

this is awesome...i have addded this to my playlist being that I have looked at it for 5 different problems

@gamaliellebagorio2059 3 жыл бұрын

Ok so finally after browsing through a lot if videos about this I finally understand ut with her explanation. Really a life saver

@ebonypollard7133 3 жыл бұрын

Can you do a video on how to solve piecewise functions please? I am so confused on how to do it and love the way you explain how to do math! Your videos are amazing!

@patchu4800 Жыл бұрын

Me right now :

@RubiMercuri 5 жыл бұрын

Using this to review for my precalc 1 exam tomorrow wish me luck

@samstellar88 5 жыл бұрын

Hope you aced it

@diegoveraacevedo8575 5 жыл бұрын

Same

@RubiMercuri 5 жыл бұрын

I got a 91/100

@phoeberashid6711 4 жыл бұрын

@@RubiMercuri wow Rubi tell me the secret am really bad at math

@AureliusArmstrong 3 жыл бұрын

I’m going to take mine tomorrow let’s see how it goes

@ed684 2 жыл бұрын

Thank you for helping me and putting all of what I needed in one video. Life saver

@MylisaKay 5 жыл бұрын

Best video I have found on KZfaq on Domain!

@mindlywander6128 4 жыл бұрын

Honestly, you are really saving my non-mathematical bottom part. Thank you! :D

@justjacqueline2004 6 жыл бұрын

Fantastic Nancy is BAACK!

@mmmggg2049 3 жыл бұрын

... a subject that i have been confused by for weeks cleared up in just 12 minutes... i applaud you ma'am

@chrisblevins4502 Жыл бұрын

Thank you for the intro and the video. I appreciate the possible cases and your well thought out language. :)

@spectator5792 5 жыл бұрын

WERE WAITING

@hasansaleem4983 4 жыл бұрын

Thankyou so much mam i dont know how to thank you, i didnt knew this topic and tuesday is my cbse exam , lots of thanks from india

@joeshmoe9111 3 жыл бұрын

Never have I understood and applied math so quickly. Thank you : )

@robertlee9679 4 жыл бұрын

best video I've encountered so far on explaining finding domain...thank you

@kerenxy477 2 жыл бұрын

THANKYOU SO MUCH THIS VIDEO LITERALLY HELPED ME SO MUCH I WAS STRUGGLING 😭

@pashamaeh6241 5 жыл бұрын

Thanks, like, sincerely. Damn this is so useful. This makes more sense than my class

@megletbacon4930 6 жыл бұрын

Thank you so much, this helped a lot. I stayed up all night trying to find an answer to finding the domain of a function.

@kimayapanash8998 6 жыл бұрын

ohh now that i have learned this topic from you i am gonna make my friends beg me to teach them...love you so much for teaching me this

@sabirusa 5 жыл бұрын

Thank you so much! This is the most straightforward and helpful video I have found on this topic.

@sharan8254 2 жыл бұрын

Also she is so cute and hot

@normalhuman9781 2 жыл бұрын

Could you make one that teaches how to figure out the range instead of the domain. Great video!

@zenobiamulero3394 9 ай бұрын

That was so slay of you, ate that up and left no crumbs. I actually understand and this helps with finding critical numbers in calc. Thank you!!!

@mateusmichaelndinomwene2356 3 жыл бұрын

Very fun and clear I never had fun in maths like this 👏👏Thank you so much 😁🙌

@imowffaq 5 жыл бұрын

the times i screamed "I love you" after finishing one of your videos are just creapy 😂😂😂😂

@scottwitoff8932 2 жыл бұрын

Great video. Can you do one covering the domain of trigonometric functions?

@EfeAikpokhio 2 жыл бұрын

Yours so organized I loved that! Organized lessons help me focus, so thank u

@jvaliente9094 4 жыл бұрын

How to find range please ? huhu... best teacher in youtube

@mrlegible4894 6 жыл бұрын

On the square root only section you have X^2 + 5X + 6. That factors into (X +3)(X + 2). Now you only flip an inequality sign when you divide or multiply by a negative number, which this problem doesn't require. So you end up with: X >= -3 or X >= -2. So I don't understand how you got X

@alfredpeter2404 6 жыл бұрын

Same here, been trying to figure this out for a while now!

@mazharabbasbukhari7390 6 жыл бұрын

i am also confuse at this same point,but i assume as one factor as positive and one as negative.lol

@tamachanusko 6 жыл бұрын

x cant be more than -3. -2.5, -2.6, -2,7 etc will break the >= 0.

@feero9680 6 жыл бұрын

There is nothing wrong with her working. She mentioned, that is a quadratic inequality, which means there is a slightly different method of solving that eqn. In quadratic inequality, u find x like normal quadratic. And then with that x, u find the critical region. Remember b^2-2ac ? Thats how she ends up with that As she said, check out her other video on that. Sry bad english tho

@jasonandreas6784 5 жыл бұрын

it go me worried too, u are right

@serrano0.l63 5 жыл бұрын

Thank you. Simple and made me actually pay attention. Kudos to you!!

@ERnurse22 3 жыл бұрын

Can we just have a round of applause for this lady. My savior in calculus.

@brianv9242 3 жыл бұрын

You explained more to me in 12 short minutes than my professor does in hours of lectures. Thank you

@yosickboy8709 Жыл бұрын

this is 11th grade math why would it take hours?

@StuStue 3 жыл бұрын

She taught me how to find a domain not my teacher😂

@JLvatron 3 жыл бұрын

You were trying to find your teacher? Tee-Hee!

@satoshinakamoto7253 3 жыл бұрын

yeah she gave the fundamental laws. That's what I was looking for

@mikasaackerman4964 2 жыл бұрын

IM STILL LOST

@lhazeymeto3372 3 жыл бұрын

Thank you I had so much fun watching your lesson. I have a test tomorrow and I am studying now 😅

@sebastian7494 4 жыл бұрын

Please make a video on "how to find range of any function". I absolutely need this! And thank you for the video! You are an excellent teacher. Liked, Subscribed!

@roysaadeyemi4125 5 жыл бұрын

The video is so well explained

@johnpatricktulda5763 4 жыл бұрын

You don't have to like math ... But you can like my video. Me: i like you

@abdulrahmann.9024 4 жыл бұрын

Swamp

@muskker9959 4 жыл бұрын

@@abdulrahmann.9024 Swamp

@funmajorvids3913 3 жыл бұрын

Swamp

@scoodlemcnoodle7198 3 жыл бұрын

Swamp

@demonlxrd 3 жыл бұрын

Simp

@shayna5445 6 жыл бұрын

I'm so glad I found your new channel!! love you Nancy!! you're the math MVP!

@shuneleiyeemon6881 2 жыл бұрын

This is so HELPFUL ! Thank you teacher Nancy

@gabriellejoshebedabarico9499 6 жыл бұрын

Can you make a video of "how to find the range of any function"?

@thehardtruth3886 5 жыл бұрын

I mean u can inverse the function and then find the domain of that.. That will be the range of f(x) function...

@kishoresubramani1309 5 жыл бұрын

@@thehardtruth3886 yes thank you

@jaydenrose6652 5 жыл бұрын

I love how she can do math backwards and write backwards she really deserves a price, also your video helped me out a lot. Keep the good work going. (2k18 september anyone)

@aaminali2743 5 жыл бұрын

Divine Wolf the video is flipped she is actually writing backwards...

@solomonlijo 11 күн бұрын

2k24 here!

@zabiamiri7 4 жыл бұрын

on of the best explanation ever and i just love you

@SpringRain23 5 жыл бұрын

Love your videos. Nicely done. Thank you!

@abhishekmukherjee4857 6 жыл бұрын

Thanks! Alot

@juhigupta5618 6 жыл бұрын

and for logarithmic function?

@aaronherrera4400 4 жыл бұрын

Great video, thanks a lot, this really helped me with my functions!

@Hunter-de3dx Жыл бұрын

This is very nicely done and to the point! Thanks

@Albertobelmonte9 6 жыл бұрын

Awesome!

@MohammadAli-uk4qt 6 жыл бұрын

Thanks ❤️

@ethanf7719 5 жыл бұрын

perfectly paced video, doesn't take too long to talk about everything and very informative

@airbornealice6521 4 жыл бұрын

You are a great teacher ❤️ thanks for your effort

@maspero23 5 жыл бұрын

Love u nancy been watching ur vids since 2015

@GoldenGoose69 3 жыл бұрын

If this was my teacher I'd probably pay more attention.

@jemmixon 3 жыл бұрын

Peter Griffin yo?

@josephcampbell4708 3 жыл бұрын

same hahaaa

@dogestep64 3 жыл бұрын

@@jemmixon nah bro he spittin

@jinseiboy5589 3 жыл бұрын

🖖🦴🧠🦰

@tommyoneill9761 3 жыл бұрын

😂

@sullenstudent48 2 жыл бұрын

I could listen to you talk about anything. This is great!

@priscillanava5339 5 жыл бұрын

Love you Nancy! Your my number 1 math guru :)

@julietporter4307 5 жыл бұрын

My savior

@deahosel7885 5 жыл бұрын

Hi my name is dea, I was wondering how do you find the domain for exponential functions?

@iasoe 4 жыл бұрын

is it all real numbers?

@cc22079 3 жыл бұрын

Thats one of the best explanations I've seen. Great job. Now I need cube root

@user-qv9wb7yp3n 3 жыл бұрын

YOU ARE SO HELPFUL THANK YOU I missed this content at school due to lockdown, nobody explained it to me but you did, you're a godsend!!!!

@Thestoicrevolution-v5o 3 жыл бұрын

Good job learning the content you missed. You should listen to this while studying: kzfaq.info/get/bejne/l7SAbNF3p7WwpX0.html&ab_channel=ZennyBeats good luck getting good grades!

@CreateNewHandleHere 5 жыл бұрын

What if you have a cubed root on the bottom? Like if it's 1/ x³+x

@user-kh9ql2ol9l 4 жыл бұрын

Set the radicand > 0 and solve. So x(x^2 + 1) > 0, critical value is only 0 since x^2 + 1 is always positive. So x > 0 is domain.

@xshortguy 4 жыл бұрын

To find the domain of the function: look at the A in the symbol f : A -> B

@biarenthlei1091 5 жыл бұрын

You let me understand the basic MATHEMATICS that I can't understand before thank youso much

@johngumuan6270 5 жыл бұрын

You are better than my math lecturer. God bless you. This is my best class room

@binibiningatheaninavenus9725 6 жыл бұрын

Very well explained but how about range?

@Marjiance26 5 жыл бұрын

ikr wala akong mahanap na vid nya about range. loved her vid tho

@VivekYadav-ds8oz 4 жыл бұрын

Not gonna lie, I didn't come here for the concept, I already knew that ;)

@marek419 3 жыл бұрын

eek barbadurckle

@spaRKLES88604 4 жыл бұрын

OMG Im so happy she made a video on this!

@emilymellon6645 11 ай бұрын

Thanks so much ! Your videos are absolutely AMAZING.

@mugz2434 6 жыл бұрын

What should I do if there's a quadratic on both numerator and denominator?

@UlisesCastroPenyaloza 6 жыл бұрын

It is the same first example explained by Nancy. It Doesn't matter the numerator. The restriction is made by denominator because if it's equal to zero, the expression becomes undetermined. I hope to be clear enough.

@jefftheninja8293 6 жыл бұрын

How do you find the range of a rational function whose numerator and denominator are in quadratic form? Ulises Castro

@UlisesCastroPenyaloza 6 жыл бұрын

Hi Jefferson. As I said before the funtion is restricted only by denominator. What is the range in a simple polynomial function?

@spectator5792 5 жыл бұрын

CAN YOU PLS HELP ME WITH THE RANGE, I AM HAVING A HARD TIME WITH IT

@aaminali2743 5 жыл бұрын

Teach me Range pls my exam is on monday omg that’s your account name😂😂😂😂😂

@spectator5792 5 жыл бұрын

@@aaminali2743 I hope nancy will notice my request

@rocks6617 5 жыл бұрын

My exams due tomorrow lol

@zacchary2961 5 жыл бұрын

just inverse the function (let function=y method) and find the domain of the inverse, because domain of f(x) inverse= range of f(x) and vice versa.

@Niovo 5 жыл бұрын

@@zacchary2961 could you maybe link a video or article explaining how to do that?

@athenaturtles8439 3 жыл бұрын

I swear im a senior in high school and this is the first time i understood wtf domain is, thank u!!

@ramirezvr9686 4 жыл бұрын

yo thanks for the explanation, I have finals this Friday this really gonna help me out

@harivittal9345 2 жыл бұрын

I'm a truck driver and I dunno wth am I doing here

@daniellassander 6 жыл бұрын

I love this channel, an intelligent and also attractive woman showing me how to do math :)

@icuppu2 5 жыл бұрын

I have to disagree with you Daniel, she is not attractive, she is mesmerizing. I have no idea what she said after "Hi!", but I watched the video 5 times and still can't remember what she said.

@Indiegirl007 5 жыл бұрын

Ya'll are so thirsty.

@shrynk6 5 жыл бұрын

Just take the damn lesson