Graphing Piecewise Functions - Precalculus

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  • Опубликовано: 17 ноя 2024

Комментарии • 788

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +33

    Domain and Range - Free Formula Sheet: bit.ly/4eheN2W
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Functions and Graphs: ruclips.net/video/ZTEv8OnGaxo/видео.html
    Transformations of Functions: ruclips.net/video/tyQLp6x-GoU/видео.html
    Graphing Polynomial Functions: ruclips.net/video/rOOefdqMvtA/видео.html

    • @lucasisasi9759
      @lucasisasi9759 Год назад +2

      3:16 why he choose number (y: 5),somebody can help me please

    • @hbrymiri8301
      @hbrymiri8301 6 месяцев назад +1

      @@lucasisasi9759 he added 2 to x because 3 is greater than 2 we replace x with 2 giving us 5 in total.

    • @Nickson-Mpinganjira
      @Nickson-Mpinganjira Месяц назад

      ❤❤❤ keep up the good work🎉

  • @abicados2386
    @abicados2386 5 лет назад +1195

    i feel like im getting it at the same time not

    • @dionel1388
      @dionel1388 4 года назад +2

      Oof

    • @abicados2386
      @abicados2386 4 года назад +52

      One year later and I still don’t really get it :DD

    • @icesnowflake5510
      @icesnowflake5510 4 года назад +2

      @@abicados2386 lmao, I never got this eithet

    • @frankg2579
      @frankg2579 4 года назад +2

      tmr test, plz pray for me....organic chemistry tutor my last hope....

    • @dionel1388
      @dionel1388 4 года назад +3

      @@frankg2579 Good luck and God bless! You can do it! 🧡

  • @CarlosCooksChi
    @CarlosCooksChi 4 года назад +396

    His voice always calms me down during my pre-rest panic attack

  • @slugsarecrunchy
    @slugsarecrunchy 2 года назад +749

    After 2 weeks of struggling with this, I am watching this the night before my test...and in just 11 minutes, everything made sense to me

    • @deffokay5879
      @deffokay5879 2 года назад +51

      2 weeks?? Bro my freaking teacher got through this in 4 days. Day 1 is learning it. Day 2 is a worksheet. Day 3 is review for test (on your own) and day 4 is test. This is so unfair

    • @slugsarecrunchy
      @slugsarecrunchy 2 года назад +3

      @@deffokay5879 well, we had multiple lessons on limits. I was basically behind on everything and my calc teacher loves to ramble on and on and get all theoretical, and my level of conscientiousness in extremely low 😖, that's why. Thankfully he's teaching it much better now. It all makes sense during class 🙂

    • @CourseIsaacDoesIt
      @CourseIsaacDoesIt Год назад +6

      @@deffokay5879 my teacher gives the homework, then explains the lesson the next day, then test the next. She is probably the worst teacher I’ve ever had but this video is the most helpful thing ever

    • @perrycrotty7624
      @perrycrotty7624 Год назад +3

      @@deffokay5879 bro we had half a 50 minute period on it i am so fucked

    • @heyitskara3292
      @heyitskara3292 Год назад

      Ha I wish mine was this way. We just learnt this a day ago and she’s already putting a test on it in front of us. She does this everytime we learn something. One day to learn it, one day to study, and then a test on something we barely understand.

  • @2b2c1d2
    @2b2c1d2 2 года назад +228

    For the people who are still lost, what he is trying to do is combine the functions with the given parameters/limiters, whatever you want to call it. He is taking part of a function and graphing it on the same graph with each rule, and the first example itself explains it very well. Basically he graphs both graphs, but uses the x value limiters (x>/=0 and x

  • @jimmys7705
    @jimmys7705 5 лет назад +969

    I feel like 90% of the math I learn, I will never use other than to show people I failed at it

    • @imgonnasneezeachoo
      @imgonnasneezeachoo 4 года назад +49

      I have a friend studying aerospace engineering and she's studying certain physics and calculus she knows she's never going to use.
      Its everywhere man
      Like hell i wanna be a nurse,other than half lives, when am I gonna use quadratics lol

    • @nnnn50001
      @nnnn50001 4 года назад +61

      + - • / is all the math you’ll need

    • @user-oo5xy3ee8o
      @user-oo5xy3ee8o 4 года назад +34

      right
      i feel like all we really need to learn is the stuff in elementary. Addition, Subtraction, Multiplication, Division.
      But after that i feel like people just got bored and said “Well we have to teach them something lol” and just threw some stuff in there. The stuff they have us learn isn’t able to be used. You’re not gonna put on your resume “I can do piecewise functions 😀”
      after elementary, you should have some time to figure out what you want to be when you grow up, and dabble in a few things. Then you should go to school for the thing you want to be. Like if you wanna be an accountant, then you’d go to school for that, a doctor, a painter, a photographer, etc.
      and learn the stuff you need for THAT thing.
      _okay that’s the end of my Ted Talk thank you_

    • @jimmys7705
      @jimmys7705 4 года назад +12

      @@user-oo5xy3ee8o posted this 10 months ago and I still dont know how the fuck to do it

    • @natnaelgirma2071
      @natnaelgirma2071 3 года назад

      True dat

  • @emmanuelmanuel4824
    @emmanuelmanuel4824 6 лет назад +345

    You’re the best tutor on RUclips
    God bless you and keep up the good work

    • @bobbrock4221
      @bobbrock4221 2 года назад +2

      I really like the Khan Academy as well. To be honest I think TOCT does a better job of really breaking it down into a way that I can understand. Except for this section, I'm not grasping it

    • @carreeeck4384
      @carreeeck4384 Год назад

      Agreed

  • @JohnArrowShorts
    @JohnArrowShorts 5 лет назад +331

    For the people who are still confused after this video. I suggest watching other (youtube channel)videos related to this topic.
    Based on my experience i watch 10 youtube vids (different youtubers) in order to grasp the concept and every youtuber explain their idea about the concept of piecewise function graphing.
    For me after watching different vids. I come to conclusion that there is different ways to graph this piecewise function and our tutor in this channel use different method in every problem (thats the confusion comes)but if you can find a comfortable way to graph, stick to it.

    • @eymme5571
      @eymme5571 5 лет назад +2

      Ok, imma do it

    • @revoltanimation8957
      @revoltanimation8957 3 года назад +1

      thank u broskie

    • @anonymous-nu9vs
      @anonymous-nu9vs 3 года назад

      Basically.. you'll need to know graphs of different functions, inequalities and set theory and

    • @Lou_Mals_San
      @Lou_Mals_San 2 года назад +1

      ahhhckk thank u for ur comment, that's whyyyyy

  • @MsHortel
    @MsHortel 8 месяцев назад +6

    Professor's voice calms me down and opens my brain to understand. The best therapy ever for my math trauma experience.😂😂😂❤

  • @Highlife904
    @Highlife904 5 лет назад +1245

    i literally never talk in class and i pay attention but i still dont understand lmaoo

  • @laurenorourke2442
    @laurenorourke2442 5 лет назад +86

    piecewise functions are the death of me😭😭 i asked my teacher for help after class today and he was like range is very difficult to find💀💀 so i had my twin brother who’s in calculus to help me. But this video helped me understand even more so thank you!

  • @seamusmoran4776
    @seamusmoran4776 2 года назад +32

    I cannot thank you enough for these incredible tutorials I just started pre calc and you are a life saver

  • @surgere1980
    @surgere1980 Год назад +1

    taking math classes online that barely give detailed help or explanation and the teachers almost always on break is recipe for disaster...until organic chemistry tutor videos exists
    you fr carried me in my online chem and pre calc classes thank you :)

  • @chernobyl6758
    @chernobyl6758 4 года назад +309

    That moment when you understand it just fine but still can't do it for some reason...

  • @LordOfTheUnderworld
    @LordOfTheUnderworld 2 года назад +2

    THANKYOU. MY TEACHER WASNT EXPLAINING IT AT ALL. YOURE A LIFESAVER

  • @AzongLee85
    @AzongLee85 3 года назад +87

    wow this is so helpful, much more than my college preCal's textbook. Textbooks are written professionally and they don't include tips or easy-to-follow steps, but you make learning math really interesting! thanks so much and i'm also looking forward to purchasing some of your merchandises!

  • @Jay-pc2ev
    @Jay-pc2ev 6 лет назад +3609

    I'm still lost lol

  • @emilymarines2545
    @emilymarines2545 4 года назад +135

    me crying cause i still don’t know how to graph piecewise functions

  • @blankb.2277
    @blankb.2277 3 года назад +16

    Love this! Great intro. Guys if your still confused, just do a ton of practice problems and have Photomath show you how to get the answers when you’re stuck.

  • @samiraabdelhady92
    @samiraabdelhady92 3 года назад +402

    pov: you have a test in 2 hours and you're just now studying for it

  • @dngrtegaijin4680
    @dngrtegaijin4680 2 года назад +5

    I watched only a min of this video and got it right away. MANY THANKS!!

  • @PotatoPhoneUser
    @PotatoPhoneUser 5 лет назад +1385

    That's it. I'm failing math and I'm a piece of disappointing trash.

    • @alilnobody5672
      @alilnobody5672 5 лет назад +19

      Goodluck haha

    • @anthonyw6895
      @anthonyw6895 5 лет назад +56

      Sir Sykes don’t give up, keep going

    • @darkside-tr2gj
      @darkside-tr2gj 5 лет назад +51

      no ur not lol, literally everyone is bad at math. my mom, who is a pharmacist, is bad at math. you will get it eventually. its easy but has many factors

    • @sageofintellect6437
      @sageofintellect6437 5 лет назад +119

      I used to say that i was bad at math. I used to fail tests like a champ and offer petty excuses. Until one year I made a commitment to myself that i would try to get an A. It was hard and the grading policies were tough but I realized that the only reason why i was bad at math was because I simply did not care at all about the class. I was lazy and did not want to try. I always believed i could not do good and that was the problem. I didn't pay attention in class or even care to listen to the teacher so I was constantly confused about the homework. It didn't help that i had not been paying proper attention in math for the past couple years as well. When i finally realized that this was the reason why i was bad at math and i began to understand how school worked then my test scores skyrocketed. Of course having a good teacher and you tube videos like this helped a lot but i was the one who was paying attention in class and doing the HW. I ended up with a B overall in the class and was very close to an A. So never say that you are bad at math or that you are garbage because i can assure you that you aren't. You simply need to get in the mindset to succeed and then work your butt off. You will face many difficulties as you try to improve in math but these difficulties will teach you many things and give you the skills that you need to succeed in other subjects . trust me. All you need to do is put forth the effort, start paying attention, and stop making excuses/being lazy. this was my experience. I hope you learned something.

    • @youngstarsgrinding
      @youngstarsgrinding 5 лет назад +27

      Bro this school stuff doesn’t define you. You don’t need to get good grades to be successful. Keep ya grinding and keep ya head up

  • @Elpepe_0245
    @Elpepe_0245 5 лет назад +174

    Why do I have to know this!

    • @newsterkun1336
      @newsterkun1336 4 года назад +2

      Best question

    • @sageofintellect6437
      @sageofintellect6437 4 года назад +11

      @StevenMora you don't
      It just teaches you the type of critical thinking you need to learn actual math that you do need to know

    • @j.s.2958
      @j.s.2958 3 года назад +4

      @@sageofintellect6437 I learned that kind of critical thinking a million times before in middle school. I don't need to learn how to do critical thinking over and over and over and over again.

    • @DanaLea57
      @DanaLea57 3 года назад +2

      @@j.s.2958 Yes you do.

    • @marvin-cw4tw
      @marvin-cw4tw 3 года назад +6

      @@DanaLea57 no da fuk u dont, this is a pointless waste of time

  • @namiip
    @namiip 5 лет назад +10

    Finally! I’ve been struggling with this since our school uses Aleks, but it doesn’t explain this well enough.

  • @saraimejia123
    @saraimejia123 5 лет назад +106

    tutor: take your time graphing step by step and you should be fine. It's not that difficult
    me: still gets it wrong

  • @jianzhonghuang164
    @jianzhonghuang164 5 лет назад +13

    This videos makes sense for me, i even can understand what he said, incredible.

  • @codex7299
    @codex7299 2 года назад +2

    One again Thank you very much. Math is a practical thing to me ,like cooking ,you really help simplify the 2 page notes they give us in class, and just simply show us "which is what" and what is being requested❤😊

  • @followhrcdraculadnan2650
    @followhrcdraculadnan2650 Год назад +2

    This helped me a lot on todays pre-calc quiz, I missed the first lecture and missed out on this, but thanks to your video I was able to understand the concept and solve the problems in my quiz. I am genuinely grateful. Thank you very much.

    • @RuthM1611
      @RuthM1611 Год назад

      you doin this in pre calc! 😭Why I have to do this in Algebra 1

  • @HYPERDYNAMYX
    @HYPERDYNAMYX 19 дней назад

    i came last semester to understand piecwise and could not, and failed the test, but now, when my end of year exam is tmmrw, i finally understood it!

  • @aniganjian4619
    @aniganjian4619 4 года назад +3

    This was so helpful, I learned this months ago but this was the perfect way to refresh my memory.

  • @creatorcuber
    @creatorcuber 5 лет назад +15

    A math tutorial with a clear voiceover!

  • @elleloveayou
    @elleloveayou Месяц назад

    Thank you po, tomorrow we have a quiz and hopefully I'll remember what I've learn from your discussion❤

  • @HBLK702
    @HBLK702 Год назад +25

    there is no peace in piecewise functions

  • @neycrisleo10730
    @neycrisleo10730 Год назад

    Man this guy's a Multi talented he knows every single subject 🔥

  • @MyinaMacy
    @MyinaMacy 5 месяцев назад

    Thank you I’m in an accelerated class we go over the concept once and test at the end of the week. Big help. 🙌😌

  • @georgesadler7830
    @georgesadler7830 2 года назад +5

    MR. organic Chemistry Tutor, thank you for Graphing Piecewise Functions. These functions are linear, quadratic, rational, radical and constants. The TI-83/84 Calculator is also helpful for Graphing Piecewise Functions.

  • @eseluh
    @eseluh 5 лет назад +5

    literally the best channel

  • @MichaelScott934
    @MichaelScott934 6 лет назад +3

    Thank you so much I've learn weeks worth of work in 12 min

  • @NicoleMargaretPCena
    @NicoleMargaretPCena Год назад +1

    Youve been my savior for yrs but for the first time im lost 😭

  • @thegamer5439
    @thegamer5439 5 лет назад +145

    My teacher could’ve just played this video LMAO

    • @nabihah2674
      @nabihah2674 4 года назад +21

      then your teacher isn't doing their job

    • @theiv_aj
      @theiv_aj Месяц назад

      litteraly

  • @dannyjesse1149
    @dannyjesse1149 2 года назад +7

    Can you please give reasons as to why you take certain steps?
    Like why you picked the the positive side for when y=5

  • @LeianCharlesRamas
    @LeianCharlesRamas Год назад

    Literally watched this for 2 hours straight, I finally get it lads🎉

  • @tambahsaah8005
    @tambahsaah8005 4 года назад +2

    Your lecture feels like your re walking along with me in my brains!!! Thank you so so so so much😢

  • @Hakirasha
    @Hakirasha 2 года назад +2

    THANK YOU SO MUCH WITHIN 1:47 YOU TAUGHT ME MORE THAN MY TEACHER

  • @c_f_op6366
    @c_f_op6366 Год назад

    idk what id do without these videos

  • @justingenilo6522
    @justingenilo6522 4 года назад +31

    Good luck to everyone in finals!!!!

  • @alilnobody5672
    @alilnobody5672 5 лет назад +13

    you're an amazing tutor btw! You made math a little easier for me... Just hope our teacher will too >~

  • @LaeteteaEngelbrecht
    @LaeteteaEngelbrecht Год назад

    Watching this 2 hours before my test and hopefully I'll do good 👍

  • @Chef_Ramsay
    @Chef_Ramsay 4 года назад +5

    You need to compare all the math equations he did so you can understand how he did it. That’s how I somehow managed to understand his lesson.

  • @NOODLEKONG17
    @NOODLEKONG17 Год назад

    I have an exam in 2 hours and I'm just learning this now

  • @emilymurphy1084
    @emilymurphy1084 2 года назад

    how is it that you explain it so much better than my dc college algebra teacher ever does.

  • @muhammadmahad3002
    @muhammadmahad3002 2 месяца назад +1

    I didn't know this was pre calc, I'm taking this for my algebra 1 class.

    • @robbysrad7519
      @robbysrad7519 Месяц назад

      me too and my brain doesnt like this at all

  • @jackyu8825
    @jackyu8825 4 года назад +1

    Thanks. This video really helped me learning Algebra 2.

  • @averygattis143
    @averygattis143 5 месяцев назад

    You have saved me from a great deal of pain , thank you sir

  • @kurtishacharlery
    @kurtishacharlery 6 лет назад +8

    Yur videos areso helpful to somone like me who's just starting calculas 101

    • @fanwee5048
      @fanwee5048 6 лет назад +1

      Kurtisha Charlery this is alg. 2 dipdick

    • @l0lgirl675
      @l0lgirl675 6 лет назад +2

      u wish it comes back to haunt u in pre calc

    • @kurtishacharlery
      @kurtishacharlery 5 лет назад +3

      @@fanwee5048 didn't say it wasn't . Just saying that this is the one of the first things you do in calculas 101 n this a helpful video. Smh

    • @kurtishacharlery
      @kurtishacharlery 5 лет назад

      @@l0lgirl675 yep😭

    • @lolzxl9184
      @lolzxl9184 5 лет назад +3

      Dafuq what do you mean, I’m doing this in 7th grade

  • @jjonnto
    @jjonnto 3 года назад +1

    idk but this is kinda the same but much better to understand
    For example:
    f(x) = {-3, if x

  • @aeshashha69
    @aeshashha69 Год назад

    thank you so much i literally had no clue what was happening in class, and you just helped me so much because i have a quiz tm

  • @CardboardCow
    @CardboardCow Год назад

    It all makes sense now even after 1:30 in
    I was gone when my teacher was teaching this so I needed to see this❤

  • @apejit7205
    @apejit7205 6 лет назад +60

    I dont get it👳

    • @roseashley8602
      @roseashley8602 4 года назад +3

      Ok piecewise functions are functions that consist of multiple functions on a graph and you will be given an inequality and you graph or subtitute

  • @elanorgreenleaf2274
    @elanorgreenleaf2274 2 года назад

    Using this for my pre-calc course and I like his voice, he reminds me so much of Mark Walberg talking. Same accent maybe? But its a good tutorial, Thanks!

  • @winkwonk9787
    @winkwonk9787 4 года назад +13

    My homework is like this but 10x more complicated

  • @michaela4479
    @michaela4479 5 лет назад +5

    srsly, thank you i might be able to answer smth at our test tomorrow

  • @omarabouzeenni6754
    @omarabouzeenni6754 2 года назад +1

    how is a guy on youtube teaching better than my 9th grade math teacher

  • @why9774
    @why9774 5 месяцев назад +1

    For a few seconds I didn't understood but after a couple of trial and error I did(guys you can do it, don't be discourage)

  • @bilahhakim
    @bilahhakim 5 лет назад +36

    wait why -2 squared is -4??? Its actually positive right????

    • @xmascarol3962
      @xmascarol3962 5 лет назад +14

      bilah These two are different -(2)^2 and (-2)^2 since it didn’t include a parenthesis im pretty sure he assumed it was -(2)^2

    • @isabellawilson3948
      @isabellawilson3948 5 лет назад +2

      XmasCarol true that

    • @coolaverage2017
      @coolaverage2017 5 лет назад +1

      He correct

    • @jacobrye3949
      @jacobrye3949 4 года назад +1

      -2 squared is 4 not -4

    • @ehhhhh596
      @ehhhhh596 4 года назад

      Wait where did that -2 come from???? Pls help me

  • @typicalmountainbiker
    @typicalmountainbiker 4 года назад +4

    I'm so surprised that I understood any of this. Thank a lot!

  • @steamedbum
    @steamedbum 11 месяцев назад +1

    GUYS I GET IT U LEGIT JUST GRAPH THE F(X) = (insert the y-intercept) THEN USE THE INEQUALITIES AS DOMAIN RESTRICTIONS 💪🔥🔥

  • @Jshao.xd.
    @Jshao.xd. 9 месяцев назад +5

    I’m still confused, I don’t even need this in a regular job 😔👊

  • @yashpatel2345
    @yashpatel2345 3 года назад +1

    I saved me dude ur the god

  • @shammahchilonga7995
    @shammahchilonga7995 Год назад +1

    Thank you very much mr.... I've really been helped..🙏🙏

  • @toddb6605
    @toddb6605 4 года назад +2

    Makes it easier if you make a x,y table and plot your points to stay organized.

  • @francisuwalaka8370
    @francisuwalaka8370 Год назад

    Tnx so much
    Understanding this has never been easy

  • @AnthonyMejia789
    @AnthonyMejia789 9 месяцев назад

    I do not know who you are man, but thanks God for your existence

  • @overusedpenoutofink
    @overusedpenoutofink 2 года назад

    I understand it better now! You’re a life saver TwT

  • @newlinnn8194
    @newlinnn8194 2 месяца назад

    This video was more helpful than my teacher

  • @jeonkasey7517
    @jeonkasey7517 2 года назад

    helped me a lot especially under isolation

  • @mr.komane9073
    @mr.komane9073 4 года назад +2

    Wow, thanks a lot bro u made things easier with that hyperbola example in between. Daya dankie ones again and keep up the good work hey

  • @venghettomusic2959
    @venghettomusic2959 Год назад

    organic tutor is a king mh

  • @rolandfrancisco5591
    @rolandfrancisco5591 6 лет назад +5

    BRO, YOU ARE A LEGEND, KEEP UP :)))

  • @ninacilliers3225
    @ninacilliers3225 7 месяцев назад +2

    what would I have done without youtube

  • @aileentorres7675
    @aileentorres7675 6 лет назад +3

    You save my life! Thanks for your awesome videos. You explain better than my professor!

  • @jcpenny9165
    @jcpenny9165 5 лет назад +2

    Thank you for this. It’s helped me a lot

  • @S-be6gz
    @S-be6gz Год назад +1

    Whoever sees this, God bless you and have a great day

  • @adamoja4295
    @adamoja4295 3 года назад

    Don’t know where to put it . I really appreciate your playlists . If you’d drop a linear algebra ting would be gass .

  • @RomanBraixen
    @RomanBraixen 3 года назад +1

    my textbook gives me problems to graph piecewise functions, yet doesn't tell me how to graph them -_- so thanks for this video

  • @CBT-CucuyBirdTarado
    @CBT-CucuyBirdTarado 4 года назад +3

    Imagine the teacher actually teaches the subject instead of reffering you to a video
    couldn't imagine D:

  • @mahimsterunicorn7948
    @mahimsterunicorn7948 4 года назад

    RUclips videos teach me betters than my teachers/math tutors XD

  • @8bitmagic
    @8bitmagic 5 лет назад

    I like how in depth you go, dipping into pre-calc to make sure everybody can follow. Even though most of these early videos are a review for me they help a ton reinforcing the ideas as I continue with my studies. Great work, I find your content more helpful than Kahn (not hating his style just doesn't jive with me very well)

  • @Yuumii101
    @Yuumii101 4 года назад +28

    I have a quiz on this stupid tmr and I'm still lost lmao
    EDIT: I got 48% on the quiz lmao my friend got 16% and that’s what I have in class rn 😢

    • @sarafield6079
      @sarafield6079 4 года назад +2

      Same, I already know I'm going to fail it. I missed the lesson in class and the other kids said that the notes wouldn't help anyway when I asked if they knew how to do it😰😢

    • @Yuumii101
      @Yuumii101 4 года назад +2

      Sara Field I failed it lmao and my test is coming up next week so rip🌚

    • @caleblopez9970
      @caleblopez9970 4 года назад +1

      ppp.ingping_ and what did you get on the test??

    • @emma-ou8de
      @emma-ou8de 4 года назад +3

      @@caleblopez9970 yo their test was 8 months ago I don't think they remember LMAO

    • @joshuamichel4135
      @joshuamichel4135 4 года назад +2

      @@caleblopez9970 Aye bro I have a test tomorrow I'll let you know how that goes if that'll make you feel any better haha.

  • @nidhisinha8745
    @nidhisinha8745 3 месяца назад

    I was lost when I learned it in Aops, so hopefully this video will help.(I have not watched this video)

  • @alaymansarker1493
    @alaymansarker1493 Год назад +1

    Amazing tutorial, but you've mis-plotted the graph for -x^2 when x>1 I believe.

  • @pbj7920
    @pbj7920 3 года назад +1

    I have math final tomorrow wish me luck

  • @legendarybeams6487
    @legendarybeams6487 3 года назад

    You are a bloody legend

  • @rosa-zh9sx
    @rosa-zh9sx 5 лет назад +2

    omg this was so helpful!! exactly what i needed!!

  • @michelle_digitaldiaries
    @michelle_digitaldiaries Год назад

    This guy explained it better than my teacher

  • @ParisShenae
    @ParisShenae 3 года назад

    Thank you from the bottom of my soul for this fast video!!!! Geesh

  • @m3owmaster
    @m3owmaster Год назад

    this
    just saved my booty, thanks man you the best

  • @akbenz201
    @akbenz201 Год назад

    👏🔥thank you so much, now I can go n face fourier series

  • @Ilvzxo
    @Ilvzxo 11 месяцев назад +1

    Watching this 10 minutes before test…

  • @abigailmohler6401
    @abigailmohler6401 3 года назад

    Thank you this really helped clear things up for me