Graphing Polynomial Functions Using End Behavior, Zeros, and Multiplicities

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  • Опубликовано: 4 ноя 2024

Комментарии • 182

  • @blissbenson3163
    @blissbenson3163 4 года назад +205

    Just spent two hours staring at a graph🙈. Your explanation saved my ass,now I can get some sleep. Thank you

    • @yasarhassan5803
      @yasarhassan5803 3 года назад +14

      Wake up

    • @silverpockets9
      @silverpockets9 3 года назад +2

      @@yasarhassan5803 nice

    • @hannahmyears8451
      @hannahmyears8451 3 года назад +6

      @Zaid Hank woah! You have to be desperate to make two fake accounts!

    • @jakevilla2309
      @jakevilla2309 3 года назад +1

      @@hannahmyears8451 haha 😂

    • @lylemaximiliano8756
      @lylemaximiliano8756 3 года назад +2

      i dont mean to be off topic but does anybody know of a trick to log back into an instagram account?
      I stupidly forgot my account password. I would appreciate any help you can give me.

  • @JayT0o
    @JayT0o 2 года назад +112

    So much easier to understand than anyone else I've seen on RUclips. Thank you.

    • @cognus3372
      @cognus3372 Год назад

      Professor Leonard's videos are really full lectures, but I think he has the best balance between completeness and sheer skill at communicating concepts.

    • @terry1989
      @terry1989 Месяц назад

      he's not as good as organic chemistry tutor tho

  • @sejintennant8542
    @sejintennant8542 2 года назад +49

    I'm doing precalculus homework and , this is the best tutorial out of anything I could find. Thanks a lot!😀

  • @thelastasolplayerrip7640
    @thelastasolplayerrip7640 3 года назад +162

    When you have to teach a class at 8, but pilot the starship enterprise at 9

  • @JediKnight_Tot
    @JediKnight_Tot 4 месяца назад +4

    Literally cried at 9:23 when Mario said, " ... to go on & pursue your dreams."
    Thank you 3000😊

  • @marianoperezromero3277
    @marianoperezromero3277 4 года назад +39

    This man is a straight legend

  • @ataberdi2064
    @ataberdi2064 2 года назад +18

    Very clear and concise explanation. I love how you meticulously deep dive into tiniest things we confuse about. 🤩

  • @ThaoNguyen-yb6xq
    @ThaoNguyen-yb6xq Год назад +2

    Thank you Mr. Mario! I can always count on you !

  • @jerrysmith9780
    @jerrysmith9780 4 года назад +7

    I just found your channel a few days ago while looking for Trig help. We love your content and relaxed approach. You seem like a very decent guy. Thanks man.

  • @yourmathtutorvids
    @yourmathtutorvids 4 года назад +37

    Thank you for the refresher!! Haven’t thought about polynomials in years 😅

  • @Kewser-u8u
    @Kewser-u8u 11 месяцев назад +2

    I am from Ethiopia, and you are the best teacher and I like your learning method, and finally, thanks, it was very clear 👏

  • @jackiek1772
    @jackiek1772 2 года назад +6

    Brushing up for my exam tomorrow. Your videos are VERY helpful! Thanks! :)

  • @lovemorembasela6491
    @lovemorembasela6491 3 года назад +1

    Oh I am Lovemore. It's the second time I am watching you teach and it's absolutely impressive how you do it.

  • @marryjoynapat7676
    @marryjoynapat7676 4 года назад +3

    Thank you so much for this lecture, it was so reliable and helpful , especially in our situation right now that we can't go to school and do self studying............it just I'm so grateful, that I can sleep right now................

  • @jamesbyrne6232
    @jamesbyrne6232 4 года назад +6

    Respect the hustle man, good stuff

  • @ForbiddenFroots
    @ForbiddenFroots 7 месяцев назад

    When I tell you I have been through so many videos and trying to understand this for over two weeks and you explained it perfectly. You saved my life!!!!! I feel like crying

    • @MariosMathTutoring
      @MariosMathTutoring  7 месяцев назад

      Glad to hear my video helped you!

    • @ForbiddenFroots
      @ForbiddenFroots 7 месяцев назад

      @@MariosMathTutoring Thank you. I still failed and I don’t think Algebra is for me. Which you could’ve been my professor 😪

  • @penelopeperez9558
    @penelopeperez9558 3 года назад +35

    Wow, this was amazing, your techniques and tricks for association make it so easy to learn and understand. I didn't get it the way my teacher explained it so thanks for your videos!

  • @triciakruse9191
    @triciakruse9191 2 года назад +7

    This is excellent. I am a math teacher and I fine this to be very well done!

  • @LeahMiller-m6e
    @LeahMiller-m6e 8 месяцев назад

    Thank you so much for this tutorial!! I’m taking a business math course and was struggling with this concept , but you have explained it so well and helped me make sense of it all . Bless you !

    • @MariosMathTutoring
      @MariosMathTutoring  8 месяцев назад

      Glad it was helpful!…and thanks for the super thanks!!!

  • @taopinairlinesmathindustry9144
    @taopinairlinesmathindustry9144 8 месяцев назад

    Thank you, you have taught me the math class i missed today in 10 mins instead of one hour of math. I ❤ your videos

  • @coolgirl-zd5gg
    @coolgirl-zd5gg 4 года назад +9

    you are a lifesaver omg thank you!!!

  • @massielpekar39
    @massielpekar39 11 месяцев назад

    watched multiple videos and I was so confused, your video made so much sense! thank you!

  • @neelkhairnar1822
    @neelkhairnar1822 Год назад +2

    Nice to see Oppenheimer teaching polynomials !!!!!!!

  • @cameronnelson6474
    @cameronnelson6474 2 года назад +1

    This is literally helping me take a placement test for alebra 2 in 2 months :)

  • @austinstoneman8257
    @austinstoneman8257 2 года назад +1

    your examples are great. thanks

  • @stephanie9810
    @stephanie9810 3 года назад

    Thanks to this video I finally understand our lesson.

  • @aryantiwari8982
    @aryantiwari8982 3 года назад

    The only mario helped me in study

  • @ayarpireganyan5149
    @ayarpireganyan5149 Год назад +1

    Thanks Mario, this was so helpful!

  • @throwawaygmail860
    @throwawaygmail860 2 года назад

    mr mario you are brilliant thank you for your service

  • @Aksafos
    @Aksafos 2 года назад +1

    This vedio is really helping

  • @augustineaboateng9707
    @augustineaboateng9707 2 года назад +1

    Mario, you are so helpful, God will bless you forever. Please when the function is not in the factorized, what is the approach in graphing?

  • @thelordismyshepherd1366
    @thelordismyshepherd1366 Месяц назад

    Excellent video , thanks 🙏

  • @reynoldprajogo531
    @reynoldprajogo531 3 года назад

    Thank you Mario for your explanation

  • @1cualtemoch970
    @1cualtemoch970 9 месяцев назад

    I really like your video. You really dissect the problem. Good job, teach!

  • @IsabelRodriguez-nv2ue
    @IsabelRodriguez-nv2ue 3 года назад +1

    Thank you very much for creating these videos that help so much in understanding this material!!!!

  • @AshalakVeerSingh
    @AshalakVeerSingh 4 месяца назад

    Nicely solved

  • @NIPOON_nhoon_THOMPAT
    @NIPOON_nhoon_THOMPAT Год назад

    Thank you teacher Mario.🙏☺🙏

  • @DianaKot-z7f
    @DianaKot-z7f 2 месяца назад

    Thank you so much for sharing this!

  • @joenkonziki7809
    @joenkonziki7809 2 года назад

    Brilliant Teacher. 👌🏿👌🏿🙏🏿🙏🏿

  • @asmaazayan3130
    @asmaazayan3130 4 года назад +12

    You are really fantastic ❤
    KEEP IT UP !!!

  • @laisabuinimasi2154
    @laisabuinimasi2154 2 года назад

    Just discovered ur chanel n I learnt so much. Thanks

  • @aqsashahzad4810
    @aqsashahzad4810 3 года назад +1

    Thank you for this, it really helped

  • @manavjotsinghbrar6304
    @manavjotsinghbrar6304 10 месяцев назад

    I am from Philippines/India thanks you for your help math is so hard but you make it a easier way thanks 😊

  • @prs901
    @prs901 3 года назад

    tnx man u help me,i have a test tomorrow keep it up

  • @jacobebstein8838
    @jacobebstein8838 3 года назад +1

    You did better than my teacher. :)

  • @matthewdichigo
    @matthewdichigo 9 месяцев назад

    Thank you so much for your knowledge as usual amazing teacher

  • @Lostwolf16
    @Lostwolf16 3 года назад

    Thank you, learning this for phase diagrams for differential equations because my precal teacher was terrible

  • @Aksafos
    @Aksafos 2 года назад +1

    Impressive video

  • @fitquipltd6788
    @fitquipltd6788 3 года назад

    Thank you for an easy to understand explanation.

  • @ketanchandra5593
    @ketanchandra5593 3 года назад

    This was great. Thanks!

  • @jmi420
    @jmi420 2 года назад +1

    Thanks!

  • @yourmom7196
    @yourmom7196 4 года назад +1

    Thank you so much for this, this will help me so much on my test!

  • @xiaosongwu6744
    @xiaosongwu6744 2 года назад +1

    Great video, thanks! Suggestion: in 2nd polynomials, it was written “- x^x = 0” well, -1 is actually the leading coefficient, not part of the first factor/term. In the video, it went on by multiplying -1 on both sides of the equation to get to x^x = 0, which is completely unnecessary and quite confusing. We just need to recognize -1 being the leading coefficient, to avoid the confusion.

  • @joymurerwa5656
    @joymurerwa5656 2 года назад

    Thank you so much for this!

  • @andrewc736
    @andrewc736 3 года назад

    Thank you everything was explained perfectly

  • @mariam_ah
    @mariam_ah 2 года назад

    THANK YOU SO MUCH

  • @SpookyButtz
    @SpookyButtz 2 года назад +1

    Thank you for making this video, I used these when doing my math class and now I have all my math credits to graduate!
    Good luck to anyone reading this and is still doing their maths. It sucks but I know you can do it!!

  • @sarvaryusupov7108
    @sarvaryusupov7108 2 года назад

    Thank you very much 😊 for explaining

  • @erikadahlqvist6545
    @erikadahlqvist6545 3 года назад

    Very good explanation Mario! Thanks for this :)

  • @s12mansoor78
    @s12mansoor78 2 года назад

    Thanks this video is very helpful for me ❤

  • @ysabelle8873
    @ysabelle8873 8 дней назад

    thank you so much 🙏🙏

    • @MariosMathTutoring
      @MariosMathTutoring  8 дней назад

      I’m glad my video helped you understand how to graph polynomial functions!

  • @edisonburger
    @edisonburger 9 месяцев назад

    THANK YOU

  • @Leeuuy
    @Leeuuy 2 месяца назад

    Thanks

  • @BrightAcademy12
    @BrightAcademy12 3 года назад

    oh very well explained. thank it helped me

  • @oliviap1201
    @oliviap1201 Год назад

    you are my savior !

  • @thegodofmarch2218
    @thegodofmarch2218 3 года назад

    thanks jeff!

  • @Songoku-dm4nd
    @Songoku-dm4nd Год назад

    thanks teacher you good buddy

  • @erendemir9553
    @erendemir9553 3 года назад

    Thank you so much, it helped me so much

  • @afnancricket
    @afnancricket Год назад

    I love Mario

  • @dusanexol7535
    @dusanexol7535 3 года назад

    Thank you very much, teacher)

  • @dorasilva9807
    @dorasilva9807 3 года назад

    Saved my life thanks you 😭 '
    .

  • @a.sumido
    @a.sumido 3 года назад

    I really love your vids! Thanks.

  • @yeoslovelyblu
    @yeoslovelyblu 11 месяцев назад

    Tysm my tracher sucks at explaining all he does is put a problem on a board expect us to solve it when he hasnt even teached it, lifesaver

  • @addisonmil4er
    @addisonmil4er 8 месяцев назад

    U saved me I love you

  • @saiashok28
    @saiashok28 Год назад

    Hi Do you have video for finding local max/min and global max/min?

    • @MariosMathTutoring
      @MariosMathTutoring  Год назад

      TI84 TI83 Finding Relative Maximum & Minimum
      ruclips.net/video/5zH9bPKrqO4/видео.html

  • @AstroKungfu
    @AstroKungfu 4 года назад +3

    You explain this topic very well. When will you have precalc in your video lessons? They only go up to Algebra II...

  • @fnafcoolguy5362
    @fnafcoolguy5362 2 года назад

    thank you

  • @ta2010ist
    @ta2010ist 7 месяцев назад

    Please add this question too. Write an exact equation for this polynomial function using the additional point provided. Assume all zeros are integers.

  • @mariamissa2458
    @mariamissa2458 3 года назад

    thanks Mario!

  • @Imperium32
    @Imperium32 3 года назад

    Good sir you are giving me hope,thank u for this helpful video really appreciate it cause my modules are stressing me out

  • @ixchel8772
    @ixchel8772 3 года назад

    WHAT A GREAT VIDEOOOO!!! SOOO HELPFULL

  • @jovi4872
    @jovi4872 3 года назад

    If I can do something else than THANK YOU I won't missed it.

  • @ryanbalthazor3698
    @ryanbalthazor3698 2 года назад

    love you mario!!! you rule

  • @yoditgirma7213
    @yoditgirma7213 3 года назад

    Your the best, i've subscribed

  • @jasminemaruquez9552
    @jasminemaruquez9552 3 года назад

    Thank you so much!

  • @crispymallows7075
    @crispymallows7075 3 года назад

    you saved me in math i was failing so bad and your teaching really helped me THNKU SMMMM

  • @kylinruiz71
    @kylinruiz71 Год назад

    i wish i found you at the beginning of the semester

  • @treeme7252
    @treeme7252 2 года назад

    Can you give us non factored example? I'm struggling hard with graphing those. As an example, x^4 + 2x^2 -4

  • @ibsaasamuel
    @ibsaasamuel 7 месяцев назад

    teacher how contruct line tangancy to circle?

  • @Nxftqiue
    @Nxftqiue Год назад

    Thank 🙏

  • @emmasnyder8987
    @emmasnyder8987 2 года назад +1

    thought maybe i was stupid but now i realize maybe my college professor isn’t the greatest at explanations 😃

  • @janjoeydavenido9798
    @janjoeydavenido9798 2 года назад

    it is really healpful!!

  • @yarrowstudy3530
    @yarrowstudy3530 4 года назад +1

    Sir plzzzzzz make video on lim h tend to 0 then (1)/e^-1/h

  • @r.nunezz
    @r.nunezz Год назад

    Hey Mario, when you have a multiplicity of 3 why doesn’t it bounce off that point?

    • @MariosMathTutoring
      @MariosMathTutoring  Год назад

      Odd multiplicities go through, even multiplicities will ‘bounce’

  • @SoyJeremiah
    @SoyJeremiah 6 месяцев назад

    AWESOME

  • @livinlife123
    @livinlife123 Год назад

    in the first example, what is the point of the two in the front?

    • @MarleneBaugh
      @MarleneBaugh Год назад

      The 2 infront is the leading coefficient which determines whether you go up or down to the right. If the leading coefficient is positive the graph goes up to the right. But if the leading coefficient is negative the graph goes down to the left eg. In a negative x Sq graph. The graph turns down. He this helps

  • @RagerBlazer1
    @RagerBlazer1 27 дней назад +1

    what if it doesnt have a leading coefficient (the one with the paretheses)

    • @MariosMathTutoring
      @MariosMathTutoring  27 дней назад +1

      Do you mean like y=(x-1)^3 ? Then the leading coefficient is positive 1

    • @RagerBlazer1
      @RagerBlazer1 27 дней назад

      @@MariosMathTutoring oh, thanks!

  • @shaikhaalshahi7419
    @shaikhaalshahi7419 3 года назад

    You’re the best

  • @pavithrajogi5948
    @pavithrajogi5948 3 года назад

    Hlo sir,
    I need a proof for..
    "All zeroes of matching polynomial of all graphs are real valued"

  • @naveedumair2677
    @naveedumair2677 3 года назад +1

    For the last problem the graph looks like a W