Finding the Domain of a Function

[JunaidUMT]

I cant understand what you did In 2nd example :(

[Laspher]

that is baad m'kay.

[knotnyce]

I understand math soo easy when you teach it yet still failed finals :(

[Aupey]

Is there really a difference in finding the domain of this, a 2D function from a 3D function? Any help (even a yes or no) would be helpful!

[laglagga]

I feel so secure in my manhood, to say that you taught me to love math.

[traceurAlex]

Tu :)

[bebeheuy]

I am very happy to see the vidoe after you give this Finding the Domain of a Function

[AntoMelta]

I Really Like The Video From Your Finding the Domain of a Function

[willamricard]

Your Video Is Very Useful Sharing Finding the Domain of a Function

[imegatrone]

after i watched this video, my insight is very open because the video is very good to give information for your 14 day free trial at Thinkwell! Videos, Quizzes, Tests and More!

[TechApple24]

Thank you so much!

[gears4444]

i love having such a shitty teacher that i have to learn math on youtube when i pay damn near 10 grand to go to school

[chloetan2912]

helpful video,but 1 more question,when do we need to write "x e R"-[x includes all real numbers] in the answer when we are asked to find the domain?

[patrickJMT]

@chloetan2912 you are using set notation, i think i use interval notation. it is all the same thing, perhaps just ask your teacher if they have a preferred notation for you to use.

[chloetan2912]

@patrickJMT noted,thank you. =)

[rockskyline09]

you write ludicrously fast my dear friend

[sigurdanderson4]

how many sharpies do you have?

[TheMexicanMuffinx3]

Thanks!!!!



[MissAnimeFreak513]

Thank you!

[J3wishWat3r]

thanks dude this helped a lot

[brandeberry13]

Hate learning!!!!!

[patrickJMT]

@brandeberry13 drop out and get a job at mcdonalds then.

[CamaraLaurent]

@patrickJMT the he/she would have to learn to flip burgers anyway! so the solution is to die, but then he needs to learn to do that so he'll fail at that too! just give up, but you have to learn to do that....ERROR....system down!!!

[Dantethedemon16]

@patrickJMT i know some guy in uni who works at mcdonalds as a part-time job.o.o

[patrickJMT]

@Dantethedemon16 ok

[BonafiedReaper]

Thank you immensely you have helped me pass my Pre-Cal final and succeed in life as a result. And no need to appologise so much

[jeepersitsmeepers]

22 people can't find the domain and range... from a graph or functions.. thanks for the help on my final in pre-calc and giving me a reason to be on youtube and I CAN call it studying :3

[knotnyce]

your always saying your sorry about trivial stuff... We're sorry your not President :)

[warnford]

Thanks...... very clear....I am sorry about the robots comments - I dont think that it detracts from the good you are doing - thanks again

[Dewskiz]

Sharpie on paper? o.O

[BBobbyy14]

When solving inequalities, aren't you allowed to just solve for the zeros? and get the intervals from that? In my math handouts I have 3 methods of doing so with inequalities. Graph it with 2 equations, using zeros, and using a number line. Please reply!

[slaypsp]

A million thanks man, you explained what I tried to understand in 2 months in just 11 good minutes. I'm speechless, thanks a lot.

[RapScallion42]

THANK YOU SIR!

[FritzFace]

why in the third to last example do you create an inequality for the numerator to find the domain? You said there are no restrictions on the denominator, but I don't understand why that indicates you created an inequality for the numerator and that's the domain.

[FaYe134ever]

btw. the site's great too. it's even free, :))) thumbs up dude.

[FaYe134ever]

i think it was fine it really helped me. :) thanks whoever you are.:)

[teritup1995]

@SnazzyPumpkins I don't see what dubstep has to do with my comment. If you look at the dislikes there was 22 or is still now 22 people who disliked it. So therefore I commented on the video, 22 people could not find the domain; making a joke I said this.

[teritup1995]

22 people couldn't find the domain....

[SnazzyPumpkins]

@teritup1995 really.. this isnt a dubstep video kid.

[muk546]

subbed

[1417KID]

thanks alot!

[JermHD]

You are a Savior, seriously!

[bunnygrl]

Thanks for refreshing my memory! I was trying to find the domain by complicating my calculator lol

[gravyhouse]

You should get payed for your awesomeness. Thank you so much :)

[90sBabiie]

on the problem with 1/ x2 -x-6, why is (-2,3) in the domain?

[XxFightinDirtyxX]

The D followed by colon points at 4:51 was basicaly the expression on my face when trying to understand this.

[JermHD]

@XxFightinDirtyxX LMAO

[boydude619]

oh dont worry ur lighting was fine from the beggining

[allknice]

If you were in a bar i would buy you a beer or 10 for all of the help that you have given me with all of these videos.

[zamueli9]

finally, its making sense!! ahhh. feels good to not be so scared of domains. lol

[chandito1000]

you are more helpful then my real afm teacher!

[friendlychick69]

Well i Certainly learned a lot in just 11:10 minutes than 1 week my math teacher tried to explain it to the class. He never quite did the same thing everyday so we never really knew how to do it.

[marwen05]

problem no. 1 : why is denominator equated to zero? i thought it's bad.

[jquikshot]

@marwen05 he is looking for the value of x to exclude in the domain that makes the function undefined (can't divide by 0) which he extracts from the interval (-infinity,infinity) by splitting it up and putting a parenthesis next to 2 which means do not include in the interval.

[sarazuu]

when i type in the sq. root of any number it says that there is an error, but you said that we can take the square roots of odd powered roots. and also doesn't the negative just suggest that there will be a horizontal reflection?

[sarazuu]

the volume is very low

[PinkPeptobizmol]

Are you a robot in disguise?

[patrickJMT]

@PinkPeptobizmol beep boop beep

[MrSmallANDLoud]

@patrickJMT how can 2 be in the first example if that will make it 0, you said 2 wasnt allowed yet you put (infinity,2) which allows 2 PLEASE ANSWER

[jquikshot]

@MrSmallANDLoud in set notation the "paranthesis" ) ,means "do not include" in the set and the "square bracket" ], means "include" in the set like in the 4th example around 6:15 , which says D: [1, infinity), which reads "the domain is the interval from 1 to infinity INCLUDING one, if it were D:(1, infinity) it would read the interval from 1 to infinity NOT INCLUDING 1. hope this helps. ps we gererally do not include infinity in our set notation of domain

[ravael93]

@PinkPeptobizmol This is not the droid you're looking for.

[gmclaxfreak11]

life savior

[epicnation360DreamZZ]

dude thanks alot i got a B+ for my homework YEAH!!! :D

[itsjanineable]

shouldnt there be a union??

[mleeson94]

@itsjanineable I believe so. i'm not really sure what that even means, but my precalc teacher uses it so i assume you should.

[agentlopez1]

I hate mormons -____-"

[3croN]

What is domain ?

[epicnation360DreamZZ]

why u watching this video???

[TasteForDisaster]

@3croN domain is X. range is Y.

[jazzmanjunior]

Patrick you're helping me out very much and i want to thank you. My preCal teacher isn't very good so your tutorials are life saviors! Thank You! :D

[bzowy07]

instead of a comma, "union" would be a better syntax

[rollas08]

can u please solve this for domain... x +17 under a radical and the denominator is x squared minus 225??

[demshi1]

thank you verrrry much for ur clear explanation!!!!

[TheNorthfaceskater]

What happens when there is absolute value in the problem

[patrickJMT]

@TheNorthfaceskater well it just depends on where the absolute value is and what the function is

[FatMermaidsDoExist]

I think I love you <3

[patrickJMT]

@FatMermaidsDoExist ha!

[deyomash]

just plug 0 in the equation since 0 is between -2 and 2 , if its correct you know it matches and because of symmetry the outer ones do not match

[mrivesingh]

Now, I feel really smart after this video. Thank a lot, sir!!! :-)

[patrickJMT]

@mrivesingh happy to help you out ; )

[MrSmallANDLoud]

@patrickJMT also on the example with a square root on the top , why didnt you also say no negitives, you said at the beginning of the video that it couldnt be a negitive under square root

[jquikshot]

@MrSmallANDLoud he said you need numbers >= 0 which also means not negative numbers because all negative numbers are <0.

[TheMrvictor101]

PLEASE ANSWER: aren't you suppose to put the Union symbol instead of the comma in your answer? 

[SjefeNoverSjef]

@TheMrvictor101 Thats, what im wondering too!?!?

[stawberrystarbursts]

@TheMrvictor101 yes on a test you would do that.

[TheMrvictor101]

@stawberrystarbursts thank you

[TheMrvictor101]

aren't you suppose to put the Union symbol instead of the comma in your answer?

[j9zzsplinter]

clear explanations with matching step-by-step features,

that's what makes your video understandable.

nice vid, hope you have more vid related to this one :))

[j9zzsplinter]

thanks a lot pat ! :)))

it helped much ! :DD

[TheHalkboy15]

At 4:20, when factored you got (x-3) (x+2) then you put x=3 and x=-2 as values, why? do you put the opposite?

[Evanekg]

@TheHalkboy15 When you factor and get (x-3) (x+2) you then need to set each to zero and solve for x. so you'd get x-3=0 and x+2=0. To solve for these you need to add 3 to both sides and subtract 2.

Then you would end up with x=+3 and x=-2. These are the values you leave out because they make the denominator equal to zero. Hope this helps.

[GHilwa]

omg i got it now love u

[toy741life]

man with these videos. I'm sure ill get into University of waterloo or tronto. ;)

[patrickJMT]

@toy741life study hard! : )

[toy741life]

@patrickJMT ye lol

[SexySamuraiMan]

You should be a math professor!

[Anvixiel]

We went over these exact concepts in my pre Calc class yesterday, and my only expression the entire time was somewhere along the lines of " :Q_... wat?"

Then i found this video.

You sir, are amazing.

It's likely ill use my class time as an hour and a half nap, and just find a video of yours in place of what that old guy was talking about :| Math just got so much simpler.

_

[patrickJMT]

@Anvixiel happy to help : ) 

[hs93cool]

Your handwriting is gorgeous!

[FearOfAnxiety]

dude, your so awesome, thanks to you, i might have a chance of getting a 80 in math now

[patrickJMT]

@FearOfAnxiety study, study, study : )

[FearOfAnxiety]

im in grade 11 math, and we write domain and range differently, its like a curvy E and a TR that are attatched to each other

[FlericaYuAlbericci]

@FearOfAnxiety If I am not mistaken, you're using set notation in writing domains. What Mr. patrickJMT uses is called interval notation, it is another way of writing domains.

[yble0n91]

thank you soooooooooo much for all you vids it really helps me and its really simple to understand..again thank you a lot... :D

[andresmich100]

Nice im going to pass my precalculus exam tomorrow !

[jhonen32629]

I'm getting it, thanks so much :)

[peacelovejonas094]

thank you so much! i actually get this now! you teach me better than my teacher/! im gonna be watching your videos a lot now!

[kaiiB12]

U R GENIUS!

[AlaskanBadCompany2]

Cant you just write it as D: x≠2

You are implying the same thing

Also I have another question I graphed this  (x^2) - 1

So I made a table but the Domain is X≠1 but i can still solve for x when its set to 1 and i get 0, is that right im confused but they the domain said X≠1 and I just did that not getting this

[greenbeant1]

@AlaskanBadCompany2

you could write D: x≠2 but he just showed us how to get there. and what that actually means.

[msjoy93]

OMG! this is awesome! thank you! you made it so clear! :)

[jayyzurr]

helped on my calc hw:)

[MrDJKaram]

between the 2 interval notation u should put a U not a comma.

[sacapuntasinureye]

THIS helped so much tytyty

[krazyazngurl99]

this video is going to help me on my calc quiz tomorrow thanks patrickJMT



[patrickJMT]

@krazyazngurl99 no problem, good luck on your quize!

[TheDarkSaint777]

We watch these vids as our Calc notes, and then do the homework in class. :) Absolutely LOVE it! These are soooo easy to understand, and then when we do the work in class with the teacher there, I know what is going on, and I know what I need help on and need to ask about. :) Thanks soooo much for making these videos! Our entire Calculus class really appreciates them! :)

[patrickJMT]

@TheDarkSaint777 my pleasure ; )

[thecheetodude24]

Thanks for the vid. I thought I would have to drop Pre-AP Algebra 2. One question, I have the following: x+3 over x+8. I know I have to set the denominator to equal 0, but I have an x in the numerator. Would I have to set the numerator to equal 0 as well? Thanks man :D

[W4TCH4W]

example at 5:00 is what i needed and you answered it simple and easy thnx :D

[EggoMcFrenchie]

Your videos are saving my grade in Pre Calc. My teacher isn't very good. Thanks!

[79ilc]

thanks patrick :) I haven't been to school in over 10 years n finally back in school takin college algebra n this is what we started off with. this helped me out! so thumbs up to u! :)

[Linkzcap]

thanks i forgot everything from last year lol

[SamzStories]

1.2K MATH VIDS! WTF?

[gummywummytori]

THANK YOU SO MUCH. I was so lost in pre-cal today...

[marquisofAngels]

luv u luv u luv uuuuu!!!!!

[ihlove22]

I've been searching for help on domain all week thanks you so much for making this video!

[DeeMeoow]

D: I'm still so lost

[xmarin7x]

my teacher only reads from the book i totally understood you right away with her i was confused the whole class

[bigwenis69]

fist day of AccPrecalc. This helped me out soo much man i really appreicate it

[patrickJMT]

@bigwenis69 good luck in your class! come back and visit me often : )

[himguyman]

@bigwenis69 Pre-Calc? Im doing this in Alg 2...

[xxNomNomgirlxx]

This was really helpful. I had a question though.

At 2:27, could you also say that the domain is all real numbers such that x does not equal 2?

[IamAeroDynamic]

i love you!

[kush8908]

I thank you so much for what you're doing PatrickJMT. You're a college saver!

[SomeAJ]

11:11 make a wish <3

[cdmcchri]

you are the difference between me failing or passing an exam. Thank you for being so clear:) KEEP THIS IS UP!! You're Awesome

[toni082710]

thank you so much for this video:)



[FATCRYINGBABIES]

what's the domain and range for f(x)= x^5/2

[charlesbene]

you made my course much easier!. thank you

[rockerduff1231]

my online math assignments are fuckin with me! it's telling me if the domain is (-infinity, -2),(-2,3),(3,infinity) then the domain should be written as (-infinity, infinity)...fuckin great now I don't know what's right or wrong and my head is going to explode

[XoFlIpPzXo]

LEFTYYYYS RULE

[Al121212able]

speak louder sir.. :)

[SuperFrogpoopie]

your 2s keep changing...

good info though

[jerusalem2011ful]

Can you give a sample of finding the domain of a cube root?

For instance, k(t)=cube root of t^2-8t+15

[jerusalem2011ful]

Actually it is: x^2-4 is greater than 0

I think you made a mistake by including (negative infinity, -2) Becasue if you plug any negative number greater -2 the result wiill be a negative number which is NOT greater than 0.

[PoofBooz]

@jerusalem2011ful But if you placed a negative 2 or 2 in place for x you'd get 4 then you subtract 4-4 thus getting 0

[jerusalem2011ful]

For x62-4 is greater than 0

I think you made a mistake by including (negative infinity, -2) Becasue if you plug any negative number greater -2 the result wiill be a negative number which is NOT greater than 0.

[tlucasdeanegiles]

that is bad.. dude get 2 da .

[ga13yoso]

thank you SOO MUCH! :D

[mywurld1985]

Dude, I love you...I have a test on Wenesday. I'm glad i ran across this because i wouldve bombed!!! you are awesome. Thank u!!!!!

[twink0809]

i think you've interchange it... in the square root thing about the power you cant have an odd power because that will give you an negative denominator but you can have an even power instead example: -3 x -3 x -3 = -27

[Maline178]

Thank you for explaining this!

[Queeenfrannie]

Thank you so much for putting this up

[manhidnatao]

can you further explain the use of [ & ) ??whats the difference if you only use brackets , or if u only use parenthesis? =_______= what if its ( 1, 2 ] how do you read that then?

[cdromurmom]

Hey patrick can you please use a dry erase board instead of all that paper, you killing a lot of trees :(

[ELIoneBazillion]

God I wish I understood your explanation. Final on Thursday -_- I gotta learn this.

[KarlaAntonette]

ILOVEYOURVIDEOS. :)

[cdude100]

You make a simple problem loook complicated

[Chenbinnie04]

why is math making our life so difficult.?

[cutestarcarm025]

Do you have any equations that isnt a fraction?

[frescaberry]

Life makes sense now. My teacher couldn't explain this as good as you. Thank you so much I won't fail my final now, >.<

[hmercutio]

2,4,6...a billion and two hahah

[157tty]

in Brazil Domain f(x)=1/x-2 is: {x e R / x different 2}

[herieroels]

you forgot logfunctions, what's under the 'log' can't be 0

[icanruleifyouletme]

i like how you say zero: "zerow".

[jailow1]

Mr. Patrick i loved the way u explain maths n i wish to see u in a video with a complete pic of u i mean i can u do make a video on a board so that we can see who is the tutor Patrick ... thanx

[dukamos]

sorry for my comment, but it just looks like someone picking up numbers and inveting their way to get something, but there is no explanation wat that means, I'm not sure if this videos are for someone like me just learning from scratch, but your video shows various examples with various different solutions, but doesn't explain why that solution needs to be that way ? I would assume is because of some rule or formula... first and second example compared with 3rd example are completely diff

[Solarstein]

How do you have such nice handwriting!? Its abnormally perfect!

[mike3177]

Dude i know you should get compensation for what you do, but you got 3 advertisments on 1 video. I didn't even know you could do that!!

[patrickJMT]

@mike3177 thanks for letting me know! i am trying to make sure there are no ads in the middle of any of the videos!

[fatchillibuff]

@patrickJMT ur everywhere

[yisoonshin12]

@patrickJMT does that mean you don't mind if we use an adblocker?

[slickrickjohnson]

@mike3177 Dude that's pimp shit lol.I wish I had ads:( That was only one.Make your money man.Put them all up.

[exal108]

um yes i kind of need help on function notation. he gave us an equation f(x)={3,if x (is less than or equal to) 0 {2, if x (is greater than) 0

i dont understand what he is asking and he never tries to help. well if you have a video on how to do it i would be most greatfull.

thank you for your time,  exal108

[55cbates]

thanks so much glad people put useful videos on youtube 2