How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros

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  • Опубликовано: 16 ноя 2024

Комментарии • 420

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +59

    Get The Full 50 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link to The Full Video: bit.ly/3gNipOP

  • @nzopiano
    @nzopiano Год назад +148

    I love how he admits and shows his mistake instead of editing it out. It just shows his honesty and humility. I really like that.

    • @BleekXD
      @BleekXD Год назад +3

      Yeah, but maybe he doesnt like to edit that much

  • @seasalt9289
    @seasalt9289 2 года назад +690

    I love how you don’t just teach the HOW but you teach the WHY. So many teachers are so fast to teach you the shortcuts and tell you the pattern that we never get a chance to recognize the pattern or think about why it even works. A million gold stars for you my friend!!! ⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️

    • @Placename3421
      @Placename3421 Год назад +10

      This guy doesn't teach the why, still great though

    • @LoFoSho
      @LoFoSho Год назад

      @@Placename3421 He 100% tells you why! I've binged watched 50 videos and taken notes for college. 100% explains every little detail. It's like a TV series you to watch in order. Some videos are continuous from previous ones.

    • @a.l.4852
      @a.l.4852 Год назад +1

      where does he teach the why..

    • @seasalt9289
      @seasalt9289 Год назад +6

      @@Placename3421 I’m not in pre-calc anymore so I have no idea 😂 all memory of that class vanished. I think I was just very excited to finally understand it & the RUclipsr went more in depth than my teacher, connecting the picture as a whole, which felt like an explanation of “why” to me at the time

  • @Jay-xi8lc
    @Jay-xi8lc 3 года назад +2722

    when the man says excuse me in this video or any of his others I'm like don't have to excuse yourself tf you the reason why I'm passing

    • @TryingToDoBetter306
      @TryingToDoBetter306 3 года назад +52

      Lmaooo 😂 This comment is golden b/c it’s True :)

    • @Saitawa
      @Saitawa 2 года назад +15

      Did you actually pass tho?

    • @shanr6109
      @shanr6109 2 года назад +31

      This guy is the reason my son is passing🤣 I have to learn it again too.

    • @Krelz
      @Krelz 2 года назад +17

      @@shanr6109 condolence for your son.

    • @Thespian_Lesbian
      @Thespian_Lesbian Год назад

      Fr lol!

  • @JenArch
    @JenArch Год назад +32

    This channel has legit got me through tech math 2, physics, and now my review for calculus. Im sure ill be back here for calc videos too. Some people are just natural teachers that can explain things in a way that is so clear

  • @jenifershadrick
    @jenifershadrick Год назад +23

    You have been my HERO this semester! I very much hope that you continue you teachings in video.

  • @Gabrielle-zi8go
    @Gabrielle-zi8go 3 года назад +305

    I wish you could see the notes my teacher gave for this... and hear her explain it. I got a fourth of what was going on. Thank you for much for explaining so well!

  • @carloskruut423
    @carloskruut423 3 года назад +669

    Your content is AMAZING. You literally teach better than my college teacher and the way you explain and help to visualize math is so great!! Thank you for all your content :)

    • @kingraj6200
      @kingraj6200 2 года назад

      Ghq
      I'm

    • @blimaausch8252
      @blimaausch8252 2 года назад

      Your welcome

    • @aidenboi1808
      @aidenboi1808 2 года назад +8

      I always watch his videos the night before a test and then ace the tests. That’s what I’m doing rn

    • @LGrootsox
      @LGrootsox 2 года назад +8

      for real my professor explains this shit like they are learning it aswell

    • @alchemistuni238
      @alchemistuni238 2 года назад +5

      Ain't no way college? I'm high school bro and I'm dying in this

  • @japojo1958
    @japojo1958 3 года назад +131

    Mr. tutor: You are an excellent teacher. Take this compliment from a retired teacher who just decided to learn physics after a carreer in music.

    • @lttrhd
      @lttrhd 3 года назад +8

      As a musician I have to admit - being a music teacher in america really sucks! It's a dog's life.

    • @kermitthefrog7599
      @kermitthefrog7599 3 года назад +3

      That’s rlly cool! I wish you all the best!

  • @nickydeleon6604
    @nickydeleon6604 3 года назад +192

    Sir your voice is so relaxing, I almost fell asleep while you were discussing.. I appreciate your content and also your voice T w T

  • @alzhanvoid
    @alzhanvoid Год назад +6

    Currently binge-watching your videos for my Maths finals happening in a couple hours. If I pass, you will be my salvation!

  • @kimkimbada8786
    @kimkimbada8786 2 года назад +19

    This man deserves a reward for being the best teacher

  • @codezz5893
    @codezz5893 2 года назад +13

    i swear my teachers make this all so complicated for no reason, you explained it simply and perfectly in 20 mins how to graph a polynomial function, my teachers take a whole quarter teaching this and the whole time im confused and have no idea whats going on. this answered all the questions i had with graphing a polynomial function easily, i need new teachers. :/

  • @ZanyZebraYouTube
    @ZanyZebraYouTube 3 года назад +160

    I thank you greatly! I'm taking K12 Algebra Honors 2 and they teach us through asynchronous slideshows (that skips directions)
    Even with an Honors class, I need directions to understand continued concepts, so thank you again

    • @taariq1241
      @taariq1241 3 года назад +2

      same man what a struggle

    • @taariq1241
      @taariq1241 3 года назад +2

      he explained it much simpler than the course does

    • @Enzo-eq5lr
      @Enzo-eq5lr 2 года назад

      love your content Zany

    • @eissaalzaabi6587
      @eissaalzaabi6587 2 года назад +1

      Your ark series were awesome

    • @rera3718
      @rera3718 Год назад

      What a small world

  • @raprap9552
    @raprap9552 3 года назад +479

    I really feel like you already posted this 5 years ago

    • @raprap9552
      @raprap9552 3 года назад +21

      No, that was different, but y did you delete it? I really need it :((

    • @romanogaela6197
      @romanogaela6197 3 года назад +16

      I was searching for the old one too

    • @stanleyalmira6370
      @stanleyalmira6370 3 года назад +9

      Ahahaha. I had watched it recently because of my module then saw this one. I was confused too I thought I time traveled.

    • @astic4254
      @astic4254 3 года назад +5

      I am pretty sure he made a patreon, and the video is on there.

    • @foureyedfart8117
      @foureyedfart8117 3 года назад +1

      Fr😂

  • @basementmicrowave3989
    @basementmicrowave3989 3 года назад +28

    Cheat Sheet last second time stamps for me and you, you're welcome:
    Y=×^2 0:32
    Y=-×^2 2:00
    Y=x^3 \
    | 3:34 - 5:28 (for ends)
    Y=-x^3/
    Y=x^4 6:05
    Y=-x^4 6:45
    Y=x^1 7:30
    Y=-x^3 8:10
    Y=-×^1 8:20
    Summary 9:06 - 9:50
    Multiplicity = m
    M=1 10:00
    M=2 10:20
    M=3 10:40
    Example Problem 11:40
    How to find 0s (needs to be in factored form) 13:18
    Finding multiplicity of each 0 13:40
    Graphing 14:10
    Finding overall degree 14:41
    Key point 15:14
    Key point 2 15:51
    Conclusion and important final point (finding peaks and dips) 17:06

  • @Daniel-nm2qb
    @Daniel-nm2qb 3 года назад +149

    12:00 if you already understand everything and need to graph

  • @annasnotabanana
    @annasnotabanana 6 месяцев назад +5

    This man has a video for EVERYTHING it’s amazing and so helpful

  • @jasherbelton3039
    @jasherbelton3039 2 года назад +25

    Thank you so much for making this video. For me, my teacher didnt even bother going over end behaviors of polynomials before telling me to describe it. This video was simple, not rushed, and comprehensive. Your a life saver.

  • @olanrewajuolawale901
    @olanrewajuolawale901 Год назад +12

    I love your channel; it solves most of my calculus and maths problems. And, your teaching is straightforward.
    I want to say thank you for doing your best in helping out students. God is blessing you already and is with you.

  • @beginnersguidetomoney
    @beginnersguidetomoney Год назад +8

    I've never had a math video teach me so well. You did what 8 class periods couldn't teach me, in 20 min. This was for sure my way of learning so thank you.

  • @elhamhashemi7646
    @elhamhashemi7646 2 года назад +4

    one mistake was at 12:43 of video record which that has (x-1)^2 you got X-1=0,
    thanks for your best teaching.

  • @biancalouisecruz9985
    @biancalouisecruz9985 3 года назад +21

    This is our lesson in math rn, what perfect timing 🥰🥰

  • @MaksGiermakowski
    @MaksGiermakowski Год назад +3

    Bro literally has every imaginable subject. Anything I need he got me covered.

  • @harshharsh6764
    @harshharsh6764 7 месяцев назад +1

    all lectures i see on this for 10th std are like "its not important to learn why just byheart these 4 graphs these will all be relearnt in the next classes" but the thing is i can't hold in that curiosity for fking years man thanks

  • @kenneth6765
    @kenneth6765 3 года назад +5

    DID YOU KNOW HOW MANY STUDENTS' LIVES YOU'VE SAVED BECAUSE OF YOUR VIDEOS? THANK YOU SO MUCH😭😭😭😭

  • @38.sharvarichavan97
    @38.sharvarichavan97 11 месяцев назад +1

    It's impossible not to understand the concept by this guy
    Once you open his video , before you know, you have already understood the whole thing

  • @benjamintetteh9016
    @benjamintetteh9016 2 года назад +7

    I’m a maths and science teacher. I always learn from you and it has really helped me.

  • @sebthebest4010
    @sebthebest4010 9 месяцев назад +1

    These type of videos just carry me through high school!

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    @megansale5290 7 месяцев назад +1

    These videos have truly been helping me, and the way the material is explained makes it very easy to understand and follow!

  • @canby4037
    @canby4037 2 года назад +3

    This guy is so clutch. Saving my grade! Please never stop making videos!!!

  • @stephanier2690
    @stephanier2690 2 года назад +1

    I think this might be the best RUclips channel for learning math. Honestly.

  • @zanettd1037
    @zanettd1037 3 года назад +12

    Thank you so much, I have a quiz tomorrow and this explained it way better than my professor

    • @partyahmed5966
      @partyahmed5966 3 года назад

      What a coincidence I have a final tomorrow

    • @bloozism
      @bloozism 2 года назад

      @@partyahmed5966 I have a final TODAY

  • @lil_weasel219
    @lil_weasel219 3 года назад +48

    I should be watching this and stdying but my anxiety and other mental and physical health stuff is really hard on me.
    Just wanna let you know that I greatly appreciate your content

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      @axelmonet2740 3 года назад +6

      You should really take care of yourself before anything else. Your health is way more important than your studies.

    • @lil_weasel219
      @lil_weasel219 3 года назад +2

      @@axelmonet2740 I agree. And thank you

    • @axelmonet2740
      @axelmonet2740 3 года назад +2

      @@lil_weasel219 I've also had some hard times while studying. Seeing your comment made me remind those moments.
      I hope you do great in your studies and overcome those negative mental states. It's not easy. It takes some time, but I'm positive you'll find happiness and peace.

    • @lil_weasel219
      @lil_weasel219 3 года назад +1

      @@axelmonet2740 Ill be "freezing" this year due to medical issues (dont know what the equivalent be in anglophone nations).
      Ive lost too much, i vannot recuperate, still struggling, and Im only still in to keep mundane structure.
      Well see next year, it will be better
      thanks for the good wishes btw

    • @axelmonet2740
      @axelmonet2740 3 года назад +1

      @@lil_weasel219 When you start doing better, let me know! I'd like to see you feeling better as soon as possible. Best wishes!

  • @imanibrown9729
    @imanibrown9729 3 года назад +36

    You're honestly the best! I love how you explain things

  • @MsHortel
    @MsHortel 7 месяцев назад

    Professor JG is the reason I have A in my college algebra class. God bless you, young man. You are God's gift to us all. I am a grandma and you have taught my simple mind and survived in this very tough math world.❤❤❤

  • @IcefireToken
    @IcefireToken 11 месяцев назад +5

    I’m in Algebra 2 as a Junior in High School
    My teacher is so confusing with her teaching style but this video is helping me understand graphing a lot better
    Also I have a test tomorrow so I’m using this to study to THANK YOU ❤

  • @shriyakumar-l2l
    @shriyakumar-l2l 2 месяца назад +1

    Love these vids. When your teacher just teach in that monotone voice, “You gotta do this”. How do you make it so interesting.

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    @rennaymcdermott5280 Год назад +3

    I don't know what I would do without your channel. 🙏🏾🙏🏾

  • @peripheralvision9976
    @peripheralvision9976 7 месяцев назад

    This is the first time I’ve properly understood how to find the end behavior. I’ve taken this topic so many times, but couldn’t ever grasp it. Thank you so much 🙏🏾🙏🏾

  • @hafsaomar1025
    @hafsaomar1025 3 года назад +38

    Thank you so much !! My teacher can’t explain shit .. u made it easy

  • @tonyherring7382
    @tonyherring7382 3 года назад +11

    YES! just in time for my pre-calculus quiz tomorrow.

  • @pashmiaadule1369
    @pashmiaadule1369 Год назад

    In my lecture I only got a forth of what she explained... and you only explained this in 20 minutes and I comprehended everything you taught. Thank you so much for explaining this so well!!!!

  • @Rorablink
    @Rorablink 5 месяцев назад +1

    Since I have started watching this channel's math videos I feel I can finally understand math
    The best tracher👑

  • @pennieferrazzano8897
    @pennieferrazzano8897 2 года назад +22

    You are such a great teacher! This helped me to learn this concept so I could help my daughter in algebra II. You do a great job of going over the building blocks and stepping through the solution. Thank You!!!

  • @sammyy83
    @sammyy83 6 месяцев назад +1

    I was so confused with how khan academy vidoes explained this in videos and how to solve during assignments. This literally saved me and I understand how end behavior works now 😁

  • @diegobowden5691
    @diegobowden5691 11 месяцев назад +1

    Your the goat Bro, like living legend

  • @misokuhlesopazi5923
    @misokuhlesopazi5923 2 года назад +17

    I always understand every topic I watch. Thank you! You are indeed an excellent teacher

  • @shasheenah4050
    @shasheenah4050 3 года назад +9

    Thanks for this. This is actually our lesson this week.

  • @club6525
    @club6525 3 года назад +6

    Thanks to your channel, I’m finished math 12 before I even started grade 9

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    @typicalrobloxplayer8653 Месяц назад

    this man will always be the best online explainer

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    @hoaxcs 2 года назад +3

    You are saving my chops in my algebra class bro, thanks so much

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    @demetre6473 6 месяцев назад +1

    I don't know who you are but thank you for all of those videos man!

  • @tomato_soup101
    @tomato_soup101 Год назад +2

    I'm learning this in seventh grade. And I can see just how easy this will be here pretty soon. Thank you so much for this clarification of knowledge. I appreciate it!

    • @zoegonzalez9274
      @zoegonzalez9274 Год назад +3

      7th grade? I'm a senior and im struggling 😂 nice job!

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    @kaziorina1557 Год назад

    literally a life save the topic that i wasn't understanding for past 2 weeks i understood all of them just from your 20 mins video!!!!!!

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    @eoi 5 месяцев назад +2

    This saved me so much bro

  • @dualxsurvival155
    @dualxsurvival155 11 месяцев назад

    once again passing my math classes for me. absolute legend.

  • @commentanywhere92
    @commentanywhere92 3 года назад +11

    Thank you so much for explaining well. Our discussion was so fast and I didn't even had a second to write down something

    • @kimkimbada8786
      @kimkimbada8786 2 года назад

      I didn't know shinobu also learned math (no offense)

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    @nataliemodgling1339 3 года назад +6

    Holy crap this just made my homework so much easier! Thank you so much!!

  • @jiaarora5056
    @jiaarora5056 Год назад

    this has saved me no kidding, i was so lost in my course and i had no idea how i was gonna understand this but this helped me so much, it all makes so much sense now, thank you a million timess

  • @EgonduBernadetteEgwim
    @EgonduBernadetteEgwim Год назад

    Bro... U are God sent.
    You are on my list of people I owe

  • @miaow0706
    @miaow0706 2 года назад +6

    Not me watching this in the 20 minutes before my test

  • @jraymen9336
    @jraymen9336 3 года назад +4

    WHAT A PERFECT TIMING.

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    @shrimpjar3612 Год назад +1

    my man I can't thank you more, this has helped me so much not just on algebra, but calc too.

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    @uNknownrMx Год назад +2

    You’re a life saver!

  • @RollandBemu-hu2ms
    @RollandBemu-hu2ms 2 месяца назад +1

    I'm learning a lot from you. Thank so much.

  • @jessejames1520
    @jessejames1520 2 года назад +5

    Great explanation! Thank you so much. I am recapping for a test. This video was a hoot (lulz), but for real though, I have never seen better math tutorials than The Organic Chemistry Tutors. Much love

  • @lasy1107
    @lasy1107 Год назад

    i cant even begin to thank this guy, you literally saved me from failing my quiz tomorrow idek what to say; THANK YOU SO MUCH

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    @nezutoch.1175 Год назад

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  • @LymaAmiri
    @LymaAmiri 7 месяцев назад

    Your way of teaching is amazing. Thank you so much for your videos .😊

  • @Josh.V
    @Josh.V Год назад +1

    Bro made math fun and interesting again.

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      @thewhat2 Год назад

      fr 💀
      This guy saved my grades one too many times.

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    @christiannewman3525 2 месяца назад

    The man has single handedly saved my grades multiple times.

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    @shanr6109 2 года назад

    Where were you when I was in high school? I'm here learning to help my son and you are incredible! I'm actually enjoying re-learning Algebra!

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    @nataliehussain Год назад

    this man has continually saved me

  • @georgesadler7830
    @georgesadler7830 3 года назад +5

    Thank you for an excellent video on Graphing Polynomial Functions. These videos are fun.

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    @tokage503 10 месяцев назад +1

    I literally love you so much thank you my sensei

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    @jen15luvssoccer 3 года назад +31

    i really wish i could pay for the patreon videos...i know he deserves so much more than that but i just can't rn :( guess we gotta find another tutor ya'll :(

  • @jraymen9336
    @jraymen9336 3 года назад +1

    WOW. U DROPPED THIS VIDEO, WHEN WE WAS STARTING THIS LESSON

  • @brockjones4552
    @brockjones4552 2 года назад

    You are a better teacher than my professor

  • @xqzvc_
    @xqzvc_ Месяц назад

    Grade 10 here, you're a life saver 🙏🙇‍♀️

  • @ufuomaajari5608
    @ufuomaajari5608 Год назад

    You are a really good teacher! You have groomed your gifted so well, thank you for your videos! I always understand them.

  • @SaeedAbdullaXO
    @SaeedAbdullaXO 3 года назад

    2:37 i was so confused...but when you corrected it I understood and put me at ease whew

  • @justinmaduako4315
    @justinmaduako4315 Год назад

    ((Good evening, Mr. Gonzales, I just want to let you know that my class 'N I did the assignment from Lesson 4.1 Math on Pages 118 - 123 about Evaluating the Polynomials in school; 'N Special Thanks to your video about How To Graph Polynomial Functions Using End Behavior, Multiplicity 'N Zeros (🏫👨‍🏫👩🏿‍🏫➕➖✖➗📔📚📝✏🍎❤💯⭐✅))).
    From, Justin Maduako

  • @AJ-er9my
    @AJ-er9my 2 года назад +2

    You explained this so intuitively, thanks!

  • @b.n9076
    @b.n9076 2 года назад +1

    Thank you so much!! I didn’t understand when x -> +infinity, it was going to the right of left I FINALLY UNDERSTAND!!

  • @mvsic0
    @mvsic0 Месяц назад

    I UNDERSTAND FULLY NOW Thank you

  • @nellu-8364
    @nellu-8364 Год назад +1

    you're literally my fave person on earth thank u bbs xx

  • @seraph8293
    @seraph8293 2 года назад +41

    Why did maths have to get harder

  • @fourth7162
    @fourth7162 3 года назад

    My Eternal Math Teacher

  • @adityarajkanth
    @adityarajkanth 2 года назад +1

    you are a genius, obviously at math but also at teaching

  • @Zwissh
    @Zwissh 2 года назад

    Watching this cuz tomorrow is our mastery exam, our teacher doesn't know how to teach us step by step like he's so fast when he teach us how to solve this and that. But anyways, thank God you exist

  • @3mk0i26
    @3mk0i26 3 года назад

    Best channel ever you don’t know how many A’s i got because of you

  • @PaulSchurr
    @PaulSchurr 29 дней назад

    such a clear explanation - thank you!

  • @zodicracker
    @zodicracker 5 месяцев назад +1

    How can 1 person know so much? I always gravitate towards his videos first in trying to understand a subject…..

  • @chromehearts5791
    @chromehearts5791 2 года назад

    watching this a night before my final i luv u bro!

  • @adrianflores5849
    @adrianflores5849 3 года назад +2

    The y intercept is 8 if anyone was looking for it, just input 0 into x and solve for y ;)

  • @thelostmarbles4310
    @thelostmarbles4310 Год назад

    Hi could you do a class on the Riemann prime counting function or Riemann hypothesis??? I love the way you actually put in the examples rather than just assuming that people know. Why do lecturers at college teach things on the assumption that you already know? If we already knew then why are you teaching us.... ??? However you give on the assumption that I am ignorant.... that you for assuming I'm ignorant.

  • @Eliminationbattle
    @Eliminationbattle 2 месяца назад

    Explained so well! Thank you.

  • @technoblade_respect1568
    @technoblade_respect1568 Год назад

    Eyy its exam day gotta cram inn as much knowledge

  • @Arceaedits
    @Arceaedits 2 года назад +1

    This man has single handedly carried my high school years