❖ Domain and Range of a Function using a Graph ❖

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  • Опубликовано: 12 дек 2024

Комментарии • 434

  • @justdereck795
    @justdereck795 8 лет назад +76

    you just summed up 2 weeks of practicing domain and range in about 6 minutes. thank you so much

  • @fireflyflickers13
    @fireflyflickers13 11 лет назад +1

    You are my new best friend. My pre-calc teacher is a sad excuse of a teacher (he's only at our school to coach) and nobody is learning anything. I am totally giving your channel out to...like everyone in my class. This makes so much more sense now! *hallelujah!*

  • @MunchHerMuffin
    @MunchHerMuffin 11 лет назад +69

    Why can't teachers just be this simple...

    • @tonystark4936
      @tonystark4936 3 года назад

      Because teachers want you to feel that we are stupid so that we actually listen to her lol

    • @choppchopp9975
      @choppchopp9975 2 года назад

      They know how to do the questions but don’t know how to teach

  • @michelleperez1645
    @michelleperez1645 9 лет назад +10

    I have a math quiz tomorrow and I've been sooo lost in class so I had to come to youtube to learn and its makes sense now. I learned this in 5 minutes as opposed to how complex my teacher explained it in 2 weeks. Thank you! You earned a subscriber

    • @Cookie-yp5qg
      @Cookie-yp5qg 6 лет назад

      did u pass? (3 years later....)

    • @giovanniwebb6304
      @giovanniwebb6304 4 года назад

      Did you pass 4 years later

    • @michelleperez1645
      @michelleperez1645 4 года назад +1

      @@Cookie-yp5qg yess haha I did

    • @michelleperez1645
      @michelleperez1645 4 года назад

      @@giovanniwebb6304 I did pass 🤣 I graduate with my bachelors this December so no more math!

  • @jacobvarnon2437
    @jacobvarnon2437 10 лет назад +110

    Not touching not touching not touching. Forever and ever and ever

  • @stephaniebinkley6059
    @stephaniebinkley6059 9 лет назад +77

    This helped so much, my teacher makes things so complicated.. This was a great way to explain it, thank u

    • @patrickjmt
      @patrickjmt  9 лет назад +7

      +stephanie binkley glad it helped!

  • @epicmickey2351
    @epicmickey2351 11 лет назад

    Finally, after the continuous struggle in my Pre-Calculus class (My foundation of Algrebra is horrible) I finally got this, in 5 mother duckling minutes! Someone just need to break it down for me, not just teach. Thank you patrickJMT.

  • @katereilly3826
    @katereilly3826 9 лет назад +3

    Best video out there about domain and range in piecewise functions, and it was posted 5 years ago! Thank you!!

  • @uluvmycrazymind07
    @uluvmycrazymind07 8 лет назад

    Patrick is theee best in my opinion! I am so grateful for all of the effort you out into these videos! So well organized and simple to understand.

  • @patrickjmt
    @patrickjmt  12 лет назад

    @JJonesSilver yes, that is incorrect notation.

  • @TehPaZeClan
    @TehPaZeClan 12 лет назад

    Thanks so much patrick. This was super helpful. I was having trouble with the range and found yuor video and now I understand it so much better. Thanks once more.

  • @JadeHearMyGiggle
    @JadeHearMyGiggle 10 лет назад +11

    Your videos always help me.

  • @aracelimacias16
    @aracelimacias16 10 лет назад +9

    At 5:00 in for the domain [8,infinty) is it not negative infinity since its going down? Help. :(

    • @muhdzulhylmi2615
      @muhdzulhylmi2615 7 лет назад +1

      domain means it is for x value not for the y value

    • @vikram03
      @vikram03 4 года назад +1

      You're going left to right for domain.
      x is ever increasing.

  • @rbermeo12
    @rbermeo12 11 лет назад

    this is a 6 minute video and i learned more from you than i ever did in a classroom THANKYOU

  • @poetress98648
    @poetress98648 12 лет назад

    Great explanation, thanks! I've been trying to understand interval notation for weeks, and now domain, range, and notation is much easier. Awesome job, dude.

  • @AddictedtoMaterial
    @AddictedtoMaterial 12 лет назад +1

    You literally taught me more (and I actually understood what you were explaining) in 5 minutes than my teacher did in 55 minutes.

  • @patrickjmt
    @patrickjmt  12 лет назад

    @oratnek0227 a curve, yes. but that is not a function, so you will not encounter much stuff like that.

  • @terranetti556
    @terranetti556 8 лет назад +11

    Just a little note on notation, the intervals are linked by the union sign U, not comma... i.e. (-∞,-6) U [8,∞)

    • @Ashley8887AJGLITTER
      @Ashley8887AJGLITTER 6 лет назад

      thanks, i was wondering about that because i had something with that union sign on my homework

  • @briannaxo4
    @briannaxo4 13 лет назад +1

    You're so going to help me pass my midterm for pre-calc! Thank you! :)

  • @joycetaus3983
    @joycetaus3983 11 лет назад

    I never understood how to find domain and range untill I watched your pen-moving-along-the-axis thing!! Thank you

  • @kittylove199
    @kittylove199 11 лет назад

    thank u so much, everything is so making so much more sense now!! Domain and range was only thing i struggled on in pre-cal, nd my teacher suggested i should review this chapter before i go into grade 11 pre-cal, nd now two days before school i am watching ur video nd everything makes so much sense!!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @TheCapnPorridge eh, that's math. more generally, it is like learning anything new. it takes time. some people expect to understand it instantly and just get pissed and give up when that does not happen. (not that you are behaving this way). ya just gotta hang in there and stick with it.

  • @emilylambert9437
    @emilylambert9437 11 лет назад

    the pen trick helped so much. you are a serious life saver thank you

  • @Coboysfan247
    @Coboysfan247 11 лет назад +8

    Thank you my teacher just wrote and said what the domain was without explaining it. She didn't even explain what the brackets meant.

  • @patrickjmt
    @patrickjmt  13 лет назад

    @23Labron431 good luck : ) spread the word to your friends about the videos!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @renato989 i can not type in the domain name correctly as youtube filters them : )

  • @nousername4402
    @nousername4402 8 лет назад

    Thank you so much! Explained so thoroughly what domain and range is! I have a math test tomorrow and i was panicking, now im soothed. Once again, thank you so much!

  • @DrydenDraws
    @DrydenDraws 11 лет назад

    I had a hard time learning this today in class but after watching this video it all makes sense!! Thank you sir :)

  • @shimmyshannie
    @shimmyshannie 11 лет назад

    I finally understand domain and range, and I'm a freshman in college haha. I'm so glad I watched this video, thank you!!!

  • @elizabethmedina1530
    @elizabethmedina1530 11 лет назад

    wow !!! after all this time finally got it , so simple, great way of explaning it, a way that students could learn!

  • @mrjlouis99
    @mrjlouis99 10 лет назад

    All your videos are so helpful. You're making me enjoy math again

  • @ashleywest7046
    @ashleywest7046 6 лет назад

    Thank God this helps so much.I understand it now. My teacher makes things much more complicated, talking about a bunch of scenarios and long math terms and stuff but this is a lifesaver for me and my test soon

    • @patrickjmt
      @patrickjmt  6 лет назад

      glad i could help you out :)

  • @ericksonmpe
    @ericksonmpe 13 лет назад

    @NikeLeBronJames brackets mean the number is included in the domain, a parenthese means the number is not included so that number is not part of the domain/range

  • @gaberillman6778
    @gaberillman6778 8 лет назад

    Patrick, you are a life saver! Thank you so much! Your pencil trick really helped me to understand how to find the domain and ranges of functions.

  • @bravone1
    @bravone1 12 лет назад

    thank you finally somebody that made it easy and not so complicated. Thanks again

  • @GuardianDiancie
    @GuardianDiancie 13 лет назад

    I find this guys Math videos entertaining.
    Wish he was my teacher, cause my math teacher, is confusing, takes too fast, and works problems fast, and sometimes not finishing em.
    I'm half way asleep and hardly understand a thing he's saying, I need to get some sleep, and then my little brain will work at its full strength again

  • @antonnguyen750
    @antonnguyen750 11 лет назад

    You use [ ] (brackets) when the point is filled, which indicates that that point is included. While you use ( ) (parentheses) when the point is open, like the second graph, which indicates that that point isn't going to be included in your answer. Hope this helps :)

  • @SkittsMcGee
    @SkittsMcGee 5 лет назад

    OMG thank you for the "not touching" trick. I was so stumped over this until now. thanks.

  • @missevans626
    @missevans626 9 лет назад +2

    thank you so much @patrickjmt. i really appreciate your videos.

    • @patrickjmt
      @patrickjmt  9 лет назад +1

      +Nisee E. glad i could help!

  • @patrickjmt
    @patrickjmt  12 лет назад

    do you mean with the brackets [ or parentheses ( ? if there is a closed, filled in circle you include the value. if there is an open circle, you do NOT include that value

  • @halifali4278
    @halifali4278 7 лет назад

    You made this complicated work looks so easy ...
    Well done

  • @ForrestAger
    @ForrestAger 7 лет назад

    Wow! This is the most useful kind of information I could have as a student. Great job keeping it simple and explaining it well.

  • @blubbamonkey
    @blubbamonkey 12 лет назад

    Thanks so much! That last example is similar to the problem I was stuck on. I didn't know what to do with the gap. This helped a lot : )

  • @abigailhazlett5371
    @abigailhazlett5371 11 лет назад

    I struggled a lot with this concept but can understand it well now.. thank yoU!

  • @AnkushJain93
    @AnkushJain93 13 лет назад

    Very useful, thank you very much! I've got a maths exam in a couple of weeks, and I just couldn't understand this before :)

  • @jennyfreidenreich60
    @jennyfreidenreich60 8 лет назад +3

    A very clear video! I just wish you mentioned the union symbol U between the intervals rather than using comma. But I'll still use it for my students to view! Thank you!

    • @comradeelmo5739
      @comradeelmo5739 5 лет назад +1

      Jenny Freidenreich why can’t you teach it

  • @leonslaw5722
    @leonslaw5722 11 лет назад

    It is amazing that I can look in my math book and listen to the lecture and not get this stuff in hours whereas I can find a video and understand it in minutes.

  • @funkymilk92
    @funkymilk92 11 лет назад

    I can't thank you enough for making these vids!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @313Darnell313 i have no idea what that means

  • @clarissas9811
    @clarissas9811 8 лет назад +64

    i know this is old but thanks so much for this, i have a test tmmr and my teacher cant teach lol

  • @MissInn0cent808
    @MissInn0cent808 12 лет назад

    Great Explanation! gonna pass this part on my Trig. quiz tomorrow..thank you!

  • @yanethgarcia1995
    @yanethgarcia1995 11 лет назад

    I love it how you explain this all, it makes more sense to me :D I love how you use sharpie, so sure of your work you don't need a pencil. Hopefully with this ill be able to pass my advanced placement Math exam for college :) thanks for the knowledge!!

  • @MichelleLuvsYa105
    @MichelleLuvsYa105 12 лет назад

    THANNNK YOU. I failed my test because I didn't know to use the "infinity" sign and when I got it back I was confused by my teachers infinity markings but now I understand:)

  • @MadOrange644
    @MadOrange644 11 лет назад +2

    just a reminder, the lowest number is always on the left, for example 5 and -4 (IF Opened) = (-4,5), [ IF Closed]= [-4,5].

  • @startaylor1112
    @startaylor1112 4 года назад

    IDK how I found you but you are saving my life right now!!

  • @crystalssunshine
    @crystalssunshine 13 лет назад

    Thank you! I have a big exam tommorow this was very helpful! :)

  • @aliciamcnee5386
    @aliciamcnee5386 7 лет назад

    Thank you. I couldn't figure out the use of [ vs ) because my teacher skipped over it in class. This cleared it up perfectly.

  • @hanf.9615
    @hanf.9615 8 лет назад +1

    Thank you so much! I did not understand this in class but I think its clear now. Thanks!

  • @kaitlin3102
    @kaitlin3102 6 лет назад +1

    You're such a great teacher! Thanks so much!!!!

  • @BabySnatcherz
    @BabySnatcherz 13 лет назад

    great job ! you really helped me to understand the piece wise graph.

  • @xxMarinesoulxx
    @xxMarinesoulxx 11 лет назад

    Thank you so much! i was absent and you really made me understand this. thanks so much

  • @sarazuu
    @sarazuu 13 лет назад

    @patrickJMT instead of writing the domain and range using the inifinity symbol, use y belongs to the set of real numbers or x belongs to the set of real numbers than state if they are greater, equal, or less than a numer

  • @harmeenk12
    @harmeenk12 12 лет назад

    Thank you! Being forced to take AP Math = these videos are my lifesaver

  • @c.phepiun5168
    @c.phepiun5168 11 лет назад

    Thank you for made this video!!! Really clear explanation!! Thank you!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @AsnLinh keep watching and i will be : )

  • @dianafregoso-sanchez9239
    @dianafregoso-sanchez9239 7 лет назад

    This is perfectly described. Thank you for taking the time to make this video!

  • @Julian-kd6lt
    @Julian-kd6lt 12 лет назад

    thanks man really gonna help with my IB midterms

  • @dillinghammatt50
    @dillinghammatt50 11 лет назад

    Dude....You are AWESOME!

  • @BlakeryMath
    @BlakeryMath 11 лет назад

    The solid dot means that x=8 is included, hence the square bracket. The open circle at x=-6 indicates that it is not included, hence the open circle.

  • @lnacero11
    @lnacero11 11 лет назад

    You have relieved my life

  • @Etherealvioletco
    @Etherealvioletco 6 лет назад

    The pen trick helped so much, thank you!!

  • @sandythao4856
    @sandythao4856 11 лет назад

    I love you! Thank you much. Love the way u teach & explain

  • @AAASSS-su9gy
    @AAASSS-su9gy 9 лет назад

    @3:48 how can this be only one function or it is two functions? and what is the type of this function ?

  • @TheSickRevolt
    @TheSickRevolt 10 лет назад

    THANK YOU! Graphs for me are a little more difficult to comprehend. So this helped a lot!

  • @flockaflex17
    @flockaflex17 11 лет назад

    Thank you for this extremely helpful video!

  • @Iamahumanehuman
    @Iamahumanehuman 11 лет назад

    Well that was easy and straight forward, cheers!

  • @waqas14khizar
    @waqas14khizar 11 лет назад

    Thanks i just Subscribed and you are a great teacher

  • @Zephiere
    @Zephiere 11 лет назад

    thank you so much, i have never understood the brackets and parentheses thing before.

  • @Snowwydaydreamr
    @Snowwydaydreamr 11 лет назад

    This really helped jog my memory after all I'm taking hsa early!

  • @HikariChi03
    @HikariChi03 13 лет назад

    Thank you so much, after a year of confusion I finally get this. ^_^

  • @SaiKumarmsk
    @SaiKumarmsk 12 лет назад

    Awesome way of explaining ... Really Liked :)

  • @kelpfusion
    @kelpfusion 13 лет назад

    I am so blessed to have you in my life!!!

  • @LMac898
    @LMac898 12 лет назад

    great vid, my teacher went through this way too quickly, that pen sliding helps a lot :D

  • @jess20706
    @jess20706 11 лет назад

    You sir have helped me TREMENDOUSLY!!! thank you so much:-D

  • @SomeoneWasHere94
    @SomeoneWasHere94 13 лет назад

    I love your handwriting! It should be its own font haha. Nice video too, thanks :D

  • @eduardorobles895
    @eduardorobles895 11 лет назад

    TE AMO , makes everything crystal clear

  • @mikahblackwell7855
    @mikahblackwell7855 11 лет назад

    Man when ever i need help i look up patrickJMT everytime

  • @patrickjmt
    @patrickjmt  13 лет назад

    @bilibob32352 but thanks for the compliment ; )

  • @Dalton54621
    @Dalton54621 9 лет назад

    thanks m8 I really needed help with domain and range with graphs

  • @MsKoromie
    @MsKoromie 12 лет назад

    how you wrote the domain and range graph at 2:55, would that be the same as D: x>o and R: x>(or)= 5 ? my teacher doesn't use brackets or parenthesis in class...

  • @ChrisMcGuire634
    @ChrisMcGuire634 12 лет назад

    Brackets are used when the point is INCLUDED or is a SOLID POINT. Parenthesis are used when the point is NOT INCLUDED or is an OPEN POINT.

  • @patrickjmt
    @patrickjmt  12 лет назад

    you should watch my video on ' interval notation '

  • @patrickjmt
    @patrickjmt  13 лет назад

    @louthomasTV : )

  • @patrickjmt
    @patrickjmt  13 лет назад

    @bilibob32352 yes, nothing like a career of being underpaid, and under appreciated! nothing more fun than having a class full of students texting each other on their phones while you stand there and waste your time.

  • @AllieandHaley2
    @AllieandHaley2 12 лет назад

    This really helps, but do you have anything on inequalitys?

  • @hyelharrabanu4117
    @hyelharrabanu4117 11 лет назад

    Beautiful examples!

  • @imspiralsoul
    @imspiralsoul 4 года назад

    Thank you so much man this helped out a bunch

  • @hazelvenom88
    @hazelvenom88 10 лет назад +2

    Thank you for your help!

  • @pixelarts7676
    @pixelarts7676 6 лет назад

    Thank you so much you really helped me with the domain and range👍😍

  • @Mezzano142
    @Mezzano142 13 лет назад

    @itsonlyyou04 For example, reading {y|y>0} would be y is the set of all real numbers such that ( | ) y is greater than 0. It's just saying the line will go on forever past 0, and must be greater than 0. Hope this helps.