Graphing Polynomial Functions Using End Behavior, Zeros, and Multiplicities

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  • Опубліковано 1 гру 2024

КОМЕНТАРІ • 188

  • @JayT0o
    @JayT0o 2 роки тому +114

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

    • @cognus3372
      @cognus3372 Рік тому

      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 2 місяці тому

      he's not as good as organic chemistry tutor tho

  • @blissbenson3163
    @blissbenson3163 4 роки тому +214

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

    • @yasarhassan5803
      @yasarhassan5803 4 роки тому +14

      Wake up

    • @silverpockets9
      @silverpockets9 4 роки тому +2

      @@yasarhassan5803 nice

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      @hannahmyears8451 3 роки тому +6

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    • @jakevilla2309
      @jakevilla2309 3 роки тому +1

      @@hannahmyears8451 haha 😂

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      @lylemaximiliano8756 3 роки тому +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.

  • @sejintennant8542
    @sejintennant8542 2 роки тому +49

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

  • @Kewser-u8u
    @Kewser-u8u Рік тому +3

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  • @thelastasolplayerrip7640
    @thelastasolplayerrip7640 3 роки тому +167

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

  • @zayann6993
    @zayann6993 14 днів тому

    I spent a week trying to figure this out and u just explained everything Ive been looking for in a single vid. Crazy!!!

  • @ThaoNguyen-yb6xq
    @ThaoNguyen-yb6xq Рік тому +2

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

  • @JediKnight_Tot
    @JediKnight_Tot 5 місяців тому +4

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

  • @ataberdi2064
    @ataberdi2064 2 роки тому +18

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

  • @taopinairlinesmathindustry9144
    @taopinairlinesmathindustry9144 8 місяців тому

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

  • @jerrysmith9780
    @jerrysmith9780 4 роки тому +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.

  • @jackiek1772
    @jackiek1772 2 роки тому +6

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

  • @marianoperezromero3277
    @marianoperezromero3277 4 роки тому +39

    This man is a straight legend

  • @yourmathtutorvids
    @yourmathtutorvids 4 роки тому +37

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

  • @lovemorembasela6491
    @lovemorembasela6491 3 роки тому +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 роки тому +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................

  • @LeahMiller-m6e
    @LeahMiller-m6e 9 місяців тому

    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  9 місяців тому

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

  • @ForbiddenFroots
    @ForbiddenFroots 8 місяців тому

    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  8 місяців тому

      Glad to hear my video helped you!

    • @ForbiddenFroots
      @ForbiddenFroots 8 місяців тому

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

  • @massielpekar39
    @massielpekar39 Рік тому

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

  • @NathanRuben-we9ee
    @NathanRuben-we9ee 10 днів тому

    You are the best of the best teacher ,may God bless your carrier

  • @jamesbyrne6232
    @jamesbyrne6232 4 роки тому +6

    Respect the hustle man, good stuff

  • @triciakruse9191
    @triciakruse9191 3 роки тому +7

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

  • @ayarpireganyan5149
    @ayarpireganyan5149 Рік тому +1

    Thanks Mario, this was so helpful!

  • @stephanie9810
    @stephanie9810 3 роки тому

    Thanks to this video I finally understand our lesson.

  • @Aksafos
    @Aksafos 2 роки тому +1

    This vedio is really helping

  • @throwawaygmail860
    @throwawaygmail860 2 роки тому

    mr mario you are brilliant thank you for your service

  • @coolgirl-zd5gg
    @coolgirl-zd5gg 4 роки тому +9

    you are a lifesaver omg thank you!!!

  • @neelkhairnar1822
    @neelkhairnar1822 Рік тому +2

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

  • @aryantiwari8982
    @aryantiwari8982 3 роки тому

    The only mario helped me in study

  • @joenkonziki7809
    @joenkonziki7809 2 роки тому

    Brilliant Teacher. 👌🏿👌🏿🙏🏿🙏🏿

  • @manavjotsinghbrar6304
    @manavjotsinghbrar6304 11 місяців тому

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

  • @austinstoneman8257
    @austinstoneman8257 2 роки тому +1

    your examples are great. thanks

  • @NIPOON_nhoon_THOMPAT
    @NIPOON_nhoon_THOMPAT Рік тому

    Thank you teacher Mario.🙏☺🙏

  • @1cualtemoch970
    @1cualtemoch970 10 місяців тому

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

  • @DianaKot-z7f
    @DianaKot-z7f 3 місяці тому

    Thank you so much for sharing this!

  • @cameronnelson6474
    @cameronnelson6474 2 роки тому +1

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

  • @penelopeperez9558
    @penelopeperez9558 3 роки тому +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!

  • @reynoldprajogo531
    @reynoldprajogo531 3 роки тому

    Thank you Mario for your explanation

  • @matthewdichigo
    @matthewdichigo 9 місяців тому

    Thank you so much for your knowledge as usual amazing teacher

  • @thelordismyshepherd1366
    @thelordismyshepherd1366 2 місяці тому

    Excellent video , thanks 🙏

  • @IsabelRodriguez-nv2ue
    @IsabelRodriguez-nv2ue 3 роки тому +1

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

  • @laisabuinimasi2154
    @laisabuinimasi2154 2 роки тому

    Just discovered ur chanel n I learnt so much. Thanks

  • @jacobebstein8838
    @jacobebstein8838 3 роки тому +1

    You did better than my teacher. :)

  • @ketanchandra5593
    @ketanchandra5593 3 роки тому

    This was great. Thanks!

  • @aqsashahzad4810
    @aqsashahzad4810 3 роки тому +1

    Thank you for this, it really helped

  • @prs901
    @prs901 3 роки тому

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

  • @fitquipltd6788
    @fitquipltd6788 3 роки тому

    Thank you for an easy to understand explanation.

  • @augustineaboateng9707
    @augustineaboateng9707 2 роки тому +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?

  • @joymurerwa5656
    @joymurerwa5656 2 роки тому

    Thank you so much for this!

  • @AshalakVeerSingh
    @AshalakVeerSingh 5 місяців тому

    Nicely solved

  • @jmi420
    @jmi420 2 роки тому +1

    Thanks!

  • @oliviap1201
    @oliviap1201 Рік тому

    you are my savior !

  • @ixchel8772
    @ixchel8772 3 роки тому

    WHAT A GREAT VIDEOOOO!!! SOOO HELPFULL

  • @s12mansoor78
    @s12mansoor78 2 роки тому

    Thanks this video is very helpful for me ❤

  • @Aksafos
    @Aksafos 2 роки тому +1

    Impressive video

  • @ryanbalthazor3698
    @ryanbalthazor3698 2 роки тому

    love you mario!!! you rule

  • @RobertWF42
    @RobertWF42 15 днів тому

    Thank you, very helpful!
    Was hoping there would be handy rules of thumb for plotting the maxima and minima without having to take derivatives or plugging in values.

    • @MariosMathTutoring
      @MariosMathTutoring  15 днів тому

      Glad you liked the video…yes you would need to take the derivative to find where the slope of the tangent line is equal to zero to find the location of the extrema.

  • @BrightAcademy12
    @BrightAcademy12 3 роки тому

    oh very well explained. thank it helped me

  • @Lostwolf16
    @Lostwolf16 3 роки тому

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

  • @xiaosongwu6744
    @xiaosongwu6744 2 роки тому +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.

  • @asmaazayan3130
    @asmaazayan3130 4 роки тому +12

    You are really fantastic ❤
    KEEP IT UP !!!

  • @mariam_ah
    @mariam_ah 2 роки тому

    THANK YOU SO MUCH

  • @yourmom7196
    @yourmom7196 4 роки тому +1

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

  • @dusanexol7535
    @dusanexol7535 3 роки тому

    Thank you very much, teacher)

  • @afnancricket
    @afnancricket Рік тому

    I love Mario

  • @andrewc736
    @andrewc736 3 роки тому

    Thank you everything was explained perfectly

  • @yoditgirma7213
    @yoditgirma7213 3 роки тому

    Your the best, i've subscribed

  • @sarvaryusupov7108
    @sarvaryusupov7108 2 роки тому

    Thank you very much 😊 for explaining

  • @erikadahlqvist6545
    @erikadahlqvist6545 3 роки тому

    Very good explanation Mario! Thanks for this :)

  • @dorasilva9807
    @dorasilva9807 3 роки тому

    Saved my life thanks you 😭 '
    .

  • @a.sumido
    @a.sumido 3 роки тому

    I really love your vids! Thanks.

  • @erendemir9553
    @erendemir9553 3 роки тому

    Thank you so much, it helped me so much

  • @mariamissa2458
    @mariamissa2458 3 роки тому

    thanks Mario!

  • @addisonmil4er
    @addisonmil4er 9 місяців тому

    U saved me I love you

  • @edisonburger
    @edisonburger 10 місяців тому

    THANK YOU

  • @janjoeydavenido9798
    @janjoeydavenido9798 2 роки тому

    it is really healpful!!

  • @Songoku-dm4nd
    @Songoku-dm4nd Рік тому

    thanks teacher you good buddy

  • @thegodofmarch2218
    @thegodofmarch2218 3 роки тому

    thanks jeff!

  • @yeoslovelyblu
    @yeoslovelyblu Рік тому

    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

  • @ta2010ist
    @ta2010ist 8 місяців тому

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

  • @jasminemaruquez9552
    @jasminemaruquez9552 3 роки тому

    Thank you so much!

  • @emmasnyder8987
    @emmasnyder8987 2 роки тому +1

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

  • @SpookyButtz
    @SpookyButtz 2 роки тому +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!!

  • @saiashok28
    @saiashok28 Рік тому

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

    • @MariosMathTutoring
      @MariosMathTutoring  Рік тому

      TI84 TI83 Finding Relative Maximum & Minimum
      ua-cam.com/video/5zH9bPKrqO4/v-deo.html

  • @fnafcoolguy5362
    @fnafcoolguy5362 2 роки тому

    thank you

  • @danlemuellagazon6275
    @danlemuellagazon6275 3 роки тому

    thank you very much!

  • @shaikhaalshahi7419
    @shaikhaalshahi7419 3 роки тому

    You’re the best

  • @Imperium32
    @Imperium32 4 роки тому

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

  • @keitha2098
    @keitha2098 3 роки тому

    Thanks

  • @jovi4872
    @jovi4872 3 роки тому

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

  • @AstroKungfu
    @AstroKungfu 4 роки тому +3

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

  • @Nxftqiue
    @Nxftqiue Рік тому

    Thank 🙏

  • @SoyJeremiah
    @SoyJeremiah 7 місяців тому

    AWESOME

  • @treeme7252
    @treeme7252 2 роки тому

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

  • @kylinruiz71
    @kylinruiz71 2 роки тому

    i wish i found you at the beginning of the semester

  • @crispymallows7075
    @crispymallows7075 3 роки тому

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

  • @RagerBlazer1
    @RagerBlazer1 Місяць тому +1

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

    • @MariosMathTutoring
      @MariosMathTutoring  Місяць тому +1

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

    • @RagerBlazer1
      @RagerBlazer1 Місяць тому

      @@MariosMathTutoring oh, thanks!

  • @ibsaasamuel
    @ibsaasamuel 8 місяців тому

    teacher how contruct line tangancy to circle?

  • @livinlife123
    @livinlife123 Рік тому

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

    • @MarleneBaugh
      @MarleneBaugh Рік тому

      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

  • @r.nunezz
    @r.nunezz Рік тому

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

    • @MariosMathTutoring
      @MariosMathTutoring  Рік тому

      Odd multiplicities go through, even multiplicities will ‘bounce’