Finding the Domain and Range of a Piecewise Function

[FiorituraVilly]

So if you do include the number you put a bracket but if you don't it's a parenthesis? Correct me if I'm wrong.

[ericksonmpe]

what's the tuition for enrollment of PatrickJMT University?

[patrickJMT]

@ericksonmpe it looks like it is free thanks to Youtube! : )

[andyshinnnn]

how do you find the domain if f(x)=1 if x=0

and f(x)=2x if x cannot = 0

[KoKoRee3]

Yes, I just love how we waste an hour in class and don't understand a thing, but in just 5 - 10 minutes you get everything.

[patrickJMT]

@KoKoRee3 i am magic : ) 

[Zedoker1]

I love you

[smizez]

<3

[xobabxo30]

yay, i failed my test -__-

[johnolazabal]

thanks

[moderatelyawesome]

Bahh thanks so much !! You should get paid for this (:

[rissi03]

what don't you know...?

[patrickJMT]

@rissi03 a lot

[Vivinnguyen]

love it

[greenrocks04]

Thank you so much 4 ur videos, u r such a gr8 help.

I just have 1 question... Can you please write the domain and range in proper notation? Cuz this is how we r supposed to write it and I just wanna make sure it's right.... ex. (XER| x<3)

thx again :)

[maxwill1996]

You should be a math teacher!!!!!!!!!!!!!!! =)

[jesuslover219]

okay seriously? you have taught me more in 5 min than an hour and a half of class. I LOOOVE YOUUUUUUUUUUUUUUUUUUUUUUU!!!!!­!!

[patrickJMT]

@jesuslover219 you need to change your handle then! patrickjmtlover219, ftw!

[rhastablasta]

@patrickJMT Youve seriously saved me... i have a test tomorrow lol

[MsDamz01]

you juss dont know how amazing you are WOW! :)

THANKS!!!!!!!!!

[patrickJMT]

@MsDamz01 thank ya very much : )

[xoswirleyox]

SEIROUSLY? I could have done so much better if I discovered this youtube account 2 years ago -___-.......

but ty for the help kind sir. I just finished my hw in a breeze

[patrickJMT]

@xoswirleyox ive been here for a while now : ) spread the word!

[Jacobise]

Quiz due in 5 hours, time to get to work I suppose.

[KSardor1]

THANK YOU SO MUCH. sorry for the caps :D

[MiguelFHM]

LIVIA

[1tarda]

thank you! you made it look easy.

[jeevarajiit]

i developed interest in maths becoz of u.....hats off

[HockeyRules261]

Thank you soo much!

[bilibob32352]

Thank you so much, number line, kudos

[LilMonsterous]

what if x cannot = 0. What is the domain?

[patrickJMT]

@LilMonsterous everything except 0

[MrZukiePIE]

thank you bro you made this a lot easier for me man thanks.

[marquisofAngels]

:O ....marry meee!!!

[EnemyOfAFriend]

Thanks for helping with my calc review in under a minute. Memory sparker!

[heavymagnetix15]

thanks man!

[hawaiigirl121]

Now I completly understand the concept of finding the domain and range of a piecewise function-thanks^^

[scjzij3j3lez]

how do you know if its less than or greater than? thank you

[gobias225]

thank you man i actually get it thanks keep helping others I appreciate it

[MammothSounds]

ure a legend man, 

[MsGrammarnazi]

You are hot...

Show your face!

[xiiiNitramxiii]

Thanks for the help, i'm about to take my pre-lims tomorrow and I had a hard time understanding about graphs. It's a headache. Anyways, I feel bad about your markers. You might have used a lot. >:( Anyways, thanks once again dude. You saved my life. XD

[lushfresh1]

U R AWESOME!!!!

[tennismonkey5]

you are a godsend dude

[DesertChipmunkAZ]

I have a question but I don't have a graph. I just get the piecewise function.

[ToXiCRuShHD]

mine r a little different :(

[austin3324]

Great vid helped me a lot

[BucsCross]

thanks so much. I understand much better!

[kominatsi1991]

how did you get the lines in graph on point two?

[TheSpyULove]

oh nvm i got it now discard my last message on anther video :) lol

[kingdomperfect]

THANK YOU SO MUCH. Our finals are coming tomorrow and it's only now I got the whole lesson right. Bless you! x

[mmogato62]

BRILLIANT PLS TEACH PHYSICS TOO...

[kingdomperfect]

@mmogato62 lol I agreeeeeee.

[tmc031293]

OWH CORN-DOG!!! =) thk you so much for this....i thk i love you lol

[pappudeleon]

Thanks!

[MrWhite431]

You need to replace my teacher

[nampuuku]

U are a legend

[nampuuku]

Thank you so much

[somebadapple]

i wish you were my teacher!

[Juhi91695]

omg ur the besttt!!!

[ujrkingdom]

thanks dude

[636Castle]

So I guess when you're finding the range, and a line stops, then another line starts up higher, the range could have 3 numbers right? like [-2, 3, 5].

[SuperMachineKing]

thank you bro, you saved my grade!

[ja118]

D: lol 

[joshnee16]

at the second problem, what happened to 1 and 0 which is not included too.. 0<x<1

[Taowhr]

you are god.

[joshnee16]

i want to know how to find the domain and range when the given are open intervals..

[PaulandPowell]

Thank GOD. my math 112 is all online and they only seem to instruct me on the bits of it that i already understand. thanks a billion!

[genemalu]

hey dude..it really helped me.

but in finding da range in 1st exaple:can we take x+1as finding da 1st no: in da range i.e -2 wen x+1=-3+1=-2 now we got 1st no: and 2nd no: as xsquare =2square=4 i.e 2nd no:

is dis method applicable 4 finding da range???

[sjuice1]

dude you better then my actual teacher. thank you for explaining it

[codpwnr1993]

dude the number line made things so much easier. my teacher didn't show us the number line. frickin douche. any way thanks man youve made my life so much easier. =)

[patrickJMT]

@codpwnr1993 glad it helped : ) but do not be so hard on your poor ole teacher !

[codpwnr1993]

@patrickJMT no worries man. i usually dont mean those things X)

[funnystuff92]

i love you.

[patrickJMT]

@funnystuff92 * wink wink *

[dragonmasta91]

dude you have a crazy way of teaching and making others understand, i love your videos, i dont kno where i would be without your help

[patrickJMT]

@dragonmasta91 glad i was able to help

[kx3clock]

Hey could you do an equation with an unknown value of K in it?

Ex. x^2-k, if x<1

please and thank you!

[deepwell]

Thank you very much for uploading your Math videos! :D I've learned so much from them. :) My professor taught in a very vague manner and your videos helped me a lot. :D

[ecboy21]

u r our hero!!!

[leppppppppaaaaaaahh]

thanx for the video, great help!!

[Lrdvltr]

What if there's only a x<-2 and an x≥-2 ? How do I find the domain then?

[Smarkand28]

great video, i can understand normal domain and range but with piecewise functions it had confused me, i wish id known this at the beginning of the year

[samvel32]

A really good job!

I've been taught to do such things in the same way as you have shown. All your videos are very thoroughful and clear. Great job!

[fx42]

Ftw

[fx42]

Iloveur videos!!!!!

[etfirljcei]

why is the equation square root of x starting at the point (1,1)?

[TearUhMuhshell]

because x=1 and y=1

[aleisalmighty]

ugh i wish you were my teacher you teach better than she does.

[kbrv2]

AWESOME VIDEO!! Helps SOOOOO much thanks!!!

[vendettaa77]

wow so my teacher tells me this stuff and its like GAWTFWETWEDSVS@$@#$@#D@@ and then it makes sense when you say it.... dude, how did you do that o.0

[Mejiera12]

great video

[h4yl33h4ng0v3r]

this helped so much!

thanks !

[yelenaaxo3]

thank yu SO MUCH. seriouly thankyou thank youthankkk you

[falconerqatar]

thanks .  i understand all things

[mrhypercookieman]

I am in 7th grade honors right now, this helps a lot with understanding the big picture and where it leads, I have watchedd several other videos on these topics of piecewise equations and they are making a lot of sensd. Math is a language with little or no exeptions, however, most languages like english have many. In order to speak math fulently, like any other language, you have to know how to write it, how to read it, and how to speak it. Math makes sense, i'ts just writing things with numbers

[xXsemiaznbabeeXx10]

PLEASE HELP me in ffinding the d and r

in this equation:

(x+2)(x-3)/x^2-16

whats the domain and range?

[ourgreylove]

Thanks a lot. I;m subscribing.

[McWiggels]

Ty i needed this SMokew eed ery day

[mdtabishalam2191]

yeah man thanks for the help i really appreciate for ur work its a big relief for me now that i can really prepare for my upcoming IIT exams THANKS:):)

[beachballa93]

Very helpful.

[xguti001]

i forgot how to find domain of these functions lol now that im in college i need to know for my homework =]

[rmtennis11]

wow, I really wish you are my math teacher. Thanks i have a quiz tomorrow and this helped like crazy.

[thaoxiong1]

thanks, i hope i got my domain and range right =]

[Snowbabidee]

Your videos about Piece Wise have helped me a lot! Thanks

[dot1337]

thanks ;-)

[zx6rtt]

very helpful, appreciate your effort

: ]

[jfhajdsfhajdsfkjafja]

could you find the domain and range in internval notation of g(x) = x squared + 2x -3

[nickenth1991]

tehehe nipples

[2JobsStillPoorUSA]

thank you! I've struggled with this a lot! it's much easier they way you explain it.

[1carlento]

Patric how would you find the range of a equation with out knowing its domain for example: 7+x-x^2 or x^2-2 or 2x-x^2

thank you very much for your time you are master

[patrickJMT]

well, you need to know the domain first!

then i would either graph it, or use derivatives to find where the function is increasing/decreasing to help give me a better idea of the range

[nolaas]

in my school we dont include the [ or ( but it makes so much more sense that way? hmmmm damn school! lol thank you ! its making a lot more sense now

[FaiththeHairstylist]

Thanks, this really helped!

[RockerJeri]

I was learning about this today, and thanks domain and range was made clearer because of you =] Ha HA

[880414065532]

i have a problem to download this video using youtube

[patrickJMT]

thats cause it is not available to download

[patrickJMT]

hopefully it will be one day

[metrohomo]

thank you so much for this service! I've been running around for 2 days looking for clear instructions on solving piecewise functions. Who knew you were at my fingertips. :)

You ROCK Patrick!

[patrickJMT]

glad i was able to help!! : )

[tadm123]

i appreciate it, you make it much easier to understand thaxjks

[tchshwaah]

ah this is awesome. thanks

[BerPC96]

thanks man very helpful I have used your videos to help in college and you have helped alot you kick ass kind sir

[patrickJMT]

excellent. glad it all helps

[parastish270]

you know what?

you have a good sense of humor. Thanks for your words.

[parastish270]

you used Union for two interval RANGEs. But you in other videos where we had different(2 or more) interval of DOMAIN, you did not used Union. Is this only special notation for range?may be this is foolish question but i am not clear so...

once again prays for you. May God bless you.

thanks,

[patrickJMT]

if the interval in broken up, the correct notation is to use the union sign, U.

very, very often though, people will just use a comma to separate the intervals; i often switch back and forth with no rhyme or reason. i really should be using the union notation though

[patrickJMT]

so: no. it is not special notation that one only uses for range...

sorry for the confusion. it is little things like this that never even dawn on me as causing confusion, so thanks for pointing it out! i will try to be more consistent

[kerridge5]

Thank you sooo much. This is soo helpful!!

[patrickJMT]

excellent : )

[smileyfangula]

I'm definitely subscribing to you, because this is HELLA helpful.

[patrickJMT]

aw yea!

[jessiicka08]

whoa.

[proton101]

yes... im going crazy.. my teacher gave us a project all about that piecewise function but my teacher didnt teach it to us,thank god ... i found this video...good job!!!

[patrickJMT]

i have another vid about finding the equation from a graph of a piecewise function too if that helps!!

good luck with ur project

[hardrockmonkey]

omg this is driving me crazy in calculus since the teacher doesn't teach. thanks man this is great.

[jnr1989]

nice man, a lot of people can get lost with this, is just some common sense to figure it out, my teacher (my master lol) in calculus diferential explains me this very well, you are good too, nice explanation!

[patrickJMT]

yes, domain and range seem to drive people crazy!