Reading Domain and Range of a Relation From a Graph

[Sarazar117]

@Kooliojosh I have the same problem but it's kinda easy to understand at the same time, all he is showing in this video is the restrictions part of your formula( any part after l ) That is essentially what his D: and R: is showing... It's an easier way but sadly we are forced to do it the teachers way XD

[KoolioJosh]

y do i never see anyone on youtube write it as XER|-1>X>1, f(X)ER|-3>f(X)>3

[patrickJMT]

@KoolioJosh because that notation is cumbersome.

[forgetmenot357]

@grumpybritishguy umm, no. my teacher writes it like this: (e.g.)" D: {x/0≤x≤7,x∈R} and the R: {y/0≤y≤18,y∈R}"

[otamanlvhs]

Hi Patrick.

Would you like do tutorials on how to find range of a function algebraically?I noticed that no one even attempted to make videos explaining that.It's kind of strange.

[forgetmenot357]

How would you write the domain and range with the greater than and less than signs??



[grumpybritishguy]

@forgetmenot357 If you mean the sign when it is not inclusive, it would be (3,3) as opposed to [3,3]. I don't know if that's what you meant.

[Lovettesz]

why didnt you do the greater than and less than? :S

[itzzspencer]

why cant my professor teach like you

[fifa08ronaldhino]

Hey Pat I've just joined the international baccalaureate program and I have take HL math....There is a question in sequences I can't seem to solve.....The sum of the first 6 terms is 81 and the sum of 1st 11 terms is 231.Find a and r.

Please hope you could do a video on this and on more Sequence problems!

[AndyTheSmartGuy]

so basically the domain for the circle is : x is a set of all real numbers therefore x is egual to or greater than -1 and also is equal to or less than 1 ..is that correct?

[bamitskrysta]

Thank you, helped a lot. :)

[MultiLucky43]

It's like wait... still don't get it... wait.. Ohhh! I see now.(x

This was such a big help, I have to finish this target test in Algebra tomorrow and it's over the whole semester and we did this stuff at the end of the first quarter. I just didn't remember a thing until I came here! XD Thanks again.

[MrNu287]

God!!!!!!!! this video help me a lot !! thank thank tnahk

[Planetimage2]

There is even ad for an educational video, funny!

[patrickJMT]

@Planetimage2 makes sense : )

[an50331]

@Planetimage2 youtube and facebook get a sense of your interests by recording the videos you watch, things you like, and pages you visit. they then formulate advertisement based on this so they can charge their clients more for directing their ads to people more likely to buy said product

[gretzgy89]

thanks for the help with the video and i laughed so hard from 2:35 - 2:44 idk why but it was funny

[jordanxx311111]

why are leftys so smart !?

[Honeysmile13]

for some reason I find this useful than my mentor's teaching.

[zandy1234567890]

@Sam712630 no

[esmamasasquatch]

You said you usually can't find the range of a formula without graphing it. But can't you just find the domain of the inverse of the function and that will be the range of the original?

[CascadeZ]

THANJK YOU

[car1dona]

I love you Patrick!!!

[iTerriJay]

Thank you sooooo much., this really helped me :-)

[0ooEROSoo0]

i like!!!

[gravyhouse]

I can't stand working domain/range problems. Your videos make the whole process less painful. Thank you

[rosygyal]

I absolutely love your videos! I was having tremendous amounts of trouble but thanks to you i'm up to date! I just hope that this sticks in my head for my upcoming midterm!

[patrickJMT]

@rosygyal just keep studying and you will do fine

[worio96]

dude thanks so much since i started watching your vids im passing my math class thanks so much

[RamenRuv]

This video was thorough and good enough for me to get this, cheers

[fpsisfun]

teacher of the century =D

[cuteNOBITA]

like usual,, ur videos are all the best!!!

[patrickJMT]

@cuteNOBITA thanks ; )

[smileyfaceanster]

thanks!! (: this helped me soooo much!!

[BillCarlson987654]

My math teacher should just show this video instead of wasting a whole day trying to teach this to us

[patrickJMT]

@BillCarlson987654 suggest that to him / her

[SmashBangFusion01]

Genius. ;D 

[Sly1232]

"Let's pretend this is an oval"

I believe that by combining my awesome imagination skills with your awesome teaching skills, an oval can be pretended! D:< *concentrates* OHMAHGAWD IT'S AN OVAL 8D Great video!

[patrickJMT]

@Sly1232 hahahh oval! 

[haloXreachXmaniac]

nice lefthanding. lolz. thanks

[CrazyApe360]

You = Win.

[pedroescamoso22]

seriously thank you! I think i wont fail my test anymore!

[shapphire647]

Thank you, but I still don't understand when we should use [a,b] or (a,b). It made me mad these day. Help me!! Please!

[BigShlarb]

@shapphire647 Think of the "[ " and " ] " as stop signs. As you can see when he uses the infinite symbol (sideways 8) he doesn't use the " ] " because the numbers never stop at any point .. they go on forever, so we use " ( " or " )"

[freakychannel123]

u cnt belive how much this helped me! thanxs!!

[youngrob650]

Dude, give us equations to work with and show examples on how you got them. Just like my book. Little to no examples.

[benakitodits]

STILL HITTING IT, STILL HITTING IT, HITTING IT, HITTING IT, HITTING IT, HITTING IT, - Until I'm not hitting it anymore. lol

[v8vairv8vair]

9 people failed their math test

[Holidayruin]

Wow, great help!

Getting around five hours of sleep doesn't really help my productivity in class, so watching this and being able to hit a replay button REALLY helps. You earned yourself another subscriber!

[MCmusic95]

Thank you so much! Why can't my math teacher make it this easy? Great explanation!

[banwait16]

Thank you :)

[SjefeNoverSjef]

My teacher tell us to write; set notation {xeR|-1>x>1} or interval notation; xe[-1,1]

[EdsCollegeLife]

YES!! GREAT EXPLANATION

[patrickJMT]

@EdsCollegeLife glad u like it : )

[varekai918]

Who's the boss? uh, I think YOU are

[patrickJMT]

@varekai918 HA

[NamanayCA]

I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it.

[BrandonGee97]

this guy teaches better then my algebra teacher

[robelkys01]

OMG, u're the best!! U just taught me something that I spent several days to understand in class with my teacher!!!

[patrickJMT]

@robelkys01 glad i was able to help! : ) come back whenever !

[miamibabii77]

@patrickJMT OMG !!! I LOVE YOU IM TAKING MY MATH CLASS ONLINE AND THIS HELPED ME ALOT .... I SEE THE LIGHT ! THANK YOU GOD BLESS YOU =)

[underarmourob]

So Wahat U mean By Infinity Is all real numbers?

[area51l]

You, sir, are brilliant! It was day 2 of class and my teacher assigned homework on finding domains and ranges... however he didn't tell us how to do it on a graph. You saved my whole class XD

[emziesquare]

YOU ARE AWESOME.

I have a test tomorrow and my teacher.... doesn't teach! This saved me! Thank you! I will definitely be coming back for more in the future!

[gabzrb]

wow i get it now ! thanks !

[pgill1994]

thanks a ton

[cailou153]

thanks

[Heardfreak]

Really absorbing sticks like a gum

[rockslide33]

thank you a ton it makes sense now!

[ladezeman]

thanks u so just helped me out a whole lot dude

u made it a breeze

[ShookerTrooper]

I'd hit that.

[lazeeeeeViet08]

"im hitting it, im hitting it, im hitting it" lol

[tatouza101]

thank you!!! u actually helped me alott :)

[cheesecakencookies]

Thank you sou much! This was really helpful! (:

[Esvinmejicanos]

let me squeeze it in hahahahah..... but seriously thanks u helped me out.

[ashbeth07]

Thanks for the video! I'm taking an online Algebra class and I'm really struggling.

[kRiStiNeBuDDiE294]

Thank you! You're great at explaining this! :D

[Lalasays15]

Man why cant you be my Trig teacher. When she taught this was like wtf, then I came here is alike Ohhhh I get it know aha

[patrickJMT]

@Lalasays15 refer her to my videos : )

[TheInSaNiTyyyyyyy]

y would u dislike this

[ninjakelly]

why isn't the range (-infinity, 2) for the second graph? Can someone explain this to me??

[Nowasta]

@ninjakelly Because the parabola opens up towards the positive infinity not the negative infinity. 2 is the smallest range you can get in that function.

[ninjakelly]

@Nowasta Thank you!

[laatship]

@ninjakelly if it was negative it would be facing downwards. Also the reason why its 2 then infinity (2, infinity) is because 2 is the lowest point of the range on that graph, and infinity being the tallest.

[UCStudent915]

You're a really great teacher! I was trying to help my sister with her homework but I was confused myself. After watching your video everything made a lot more sense.

[firerainstorm007]

u r a marvel man..... hats off... I would b really helped if u'd start right from basics like wat is exactly a function n other basic ideas...

[johnywyatt]

um what do we call something like x>-1 instead of [-1,1] for domain? i mean... there are 2 ways to write the domain right? but how do we use the other one instead of

[ -1, 1] domains?

[toraisunshine]

my math teacher cant explain shit.

[musicallyjulz]

i am really happy that people here put historic documents and math and more subjects because i understand it much better in videos :)

[andres220]

I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it, I'm hitting it. HAHa

[erica22778]

Thank you so much, you make this very easy to understand!

[kqx]

video was helpful, thank you! :D

[SlicKitty73]

Excellent! This made it so much easier. (And I'm happy to see that Domain and Range are not mutually exclusive. Range is pretty cute!)

[bradlee529]

if you were my math teacher, i wouldn't mind going to math class~

[TheSnatchWagon]

Sharpie FTW :D

[81sselb]

thanks a lot for the video! please be my math teacher! You could save thousands of soul! :) it was really a big help!

[blitzflame08]

brain power!

[l3aIIin23]

thanks my homie g 

[MsMvp90]

very helpful thanx!



[xtinefaustino]

that "still hitting it" technique actually works :))

[FredIsMyName22]

Wow I don't know what you do for a living but BECOME A MATH TEACHER

[kayro12345]

your a legend!

[IllyaMuromets]

my folks are wondering why i have such a big grin on my face watching a math vid. and its cuz i found someone who can actually teach :D

[madametj]

after reading my textbook, searching through too help books and watching another video, this is the first time I've truly understood this concept.

[icanruleifyouletme]

for the first 30 seconds, all i could focus on was your hairy arm.. but then i began to overlook that and understood the concept! thank youu, kind sir. hats off to you !

[Minai009]

Thanks, this was a big help.

[therealbadvsgood]

thanks for the help should get me to a B in my class :)

[ezio0501]

is this Trigonometry or Calculus? i need help in Trig at the moment

[bhardwajankit42]

you are really the best teacher!!! hats off to u sir.

[oustthecan]

His sharpie hits it for infinity ;)

[sagar5233]

woow!! it really helped me out !! thanks for your kind support !! and yes keep uploading videos !! one question i want to ask from you is that where should i get more videos for learning maths !! thanks one again !!

[sagar5233]

woow!! it really helped me out !! thanks for your kind support !! and yes keep uploading videos !! one question i want to ask from you is that where should i get more videos for learning maths !! thanks one again !!

[scjzij3j3lez]

how do you know if its less than or greater than?? answer this please thanks

[moneysuccesslegacy]

The oval example is f*ckin genius!!

[829Libby]

this guy is the BEST

[patrickJMT]

@829Libby awwwww, thanks!

[GintokisGirl95]

How do you find the range of an f(x) problem if they give you the domain?? Please help....

[gjgtaddy]

this helps alot!

[arcticsquirrelmonkey]

i feel ya bro. sometimes you;re hitting it, next thing u know ur not. :(

[iDontbreakPS3]

Math for 9 year olds...

[balecraigpattinson07]

I'm terribly sorry for questioning a lot, but how do you know when to use brackets and parentheses in the domain?

[shinigamirenegade]

@balecraigpattinson07

brackets when its part of the solution and parenthesis when its not part of the solution. if u see greater than or equal to u need brackets.

[Tu51ndBl4d3]

THANK YOU!

[LethalProductionsV1]

Thanks for your help bro! couldn't figure this shit out and i watched your video and it's so easy for me now SUBBED (:

[jaderbugs778]

Thank you so much! I really wasn't understanding it, and was struggling quite a bit... now I finally understand! Your method works wonderfully for me... now on to the next video! :)

[justlikesaturday]

i love you so much right now. :')

i might actually finish my homework tonight thanks to you. :D

[angelkc12]

is what is the range if the vertex was (-3, 1)?

[TheSpyULove]

what if it was like the domain was -3 is less than or equal to x which is less than or equal to 3 and the range is 0 is less than or equal to y which is less than or equal to 4????? i can never graph that....

[121mastro]

I finally got it! Thank you !

[Foyie]

THANK GOD FOR YOU AND THE INTERNET.

[anvrvl120]

Dear Patrick, I have a crush on you. The kinda crush you'd have on your teacher when you're in eight grade. yeah that kind. lol you're seriously awesome.

[thunderfire9]

yup yup yup yup.

[RespectMyHate]

You make it look so easy.

[MsGlammChick]

awesome! i understand!!!!

[muba150]

wow, thanks, i get it..

[xoxrach07xox]

is that his real voice?? sounds a bit like a robot but not in a bad way..brilliant videos btw

[AhiskaRustem13]

thank you, good explanation

[IvanGangsta1]

I HATE MY MATHS TEACHER, BUT I LOVE YOU AS A MATHS TEACHER!! THANK YOU!!

[EddieLandsberg]

I envy anyone reading this who's in school now... Before the internet if you were baffled about math stuff and had a lousy teacher, you were really screwed... :-(

This is really good, well organized and well presented teaching - - I envy your students.

[nairbtits]

Thanks so much.

[MyMissKat]

but wouldnt the domain and range for the oval be all real number?

[grailing05]

dude im bookmarking ur website. you are such a good teacher.  hell lot better than my math teacher at school!!!

[mintchococat]

I love you

[HybridIcecream]

Thank you so very much! You have the best teaching methods ever.

[njtxconnect]

Thanks...you really help a lot :)

[cholo237]

how do you know if something is bounded above, below, or unbounded?

[NativeDuJuan]

Left handed like me!

[yourmajezty]

excellent

[doritoesPLAY]

How come you dont write -1 TO 1 instead of -1 comma 1 ?

[XxLaPaRkAxX]

Very helpful by watching your videos i actually understand what im learning in pre-calc ur a better teacher then my actually teacher. Thank you.

[fujihara12]

Hey, how do u find the increasing and decreasin intervalz of the graph?

help please i have this unit test on Tuesday n

i didnt quite get a lot of what my teacher said...

thank u :)

[TheStudonfire]

find the range of :

sq. root[ (1-cos x) sq. root (1-cos x) sq. root (1-cos x).........infinity

i know its difficult to comprehend the actual fn from what ive written....

its sq. root of (1-cos x) inside sq. root of (1-cos x)...n so on..

[JdorexoxoDanser]

HAH!

[HarlingenzFinest]

Dam you got too hit it a lot shit ! =)

[ja118]

mmmmk

[TX416]

"still hitting it still hitting it still hitting it still hitting it still hitting it" LOLLL ;)

[patrickJMT]

@TX416 that's what she said

[TevinChristopher]

@patrickJMT so lemme squeeze it in here.

lmao, thanks for your videos tho

[liljuve13]

@patrickJMT Lol for a smart guy you have a sense of humor...

[patrickJMT]

@liljuve13 they are not mutually exclusive

[evanpingu]

@patrickJMT zing

[lilpinguin69]

@Spacehorse99 yet somehow YOU managed to find him and take time to take away his credits...Dumb-ass if you think you're better...than why don't YOU offer your services...beeotch

[toolbass24]

@TX416 until he gets to +1...then hes not hitting it nemore :P

[Syk0N1nja]

In algebra 2 they wont let us put infinity anymore, now we use "all real numbers" and inequalities instead of points =P

[fujihara12]

@Syk0N1nja oh yeah i take alg2 also n we used a lot of all real numberz stuff that i dont really know when to use..lolz xP

[tasatful]

different parentheses?

[Abdallah0822]

cool man

thanks for the help =)