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How to Sketch Polynomial Functions (Precalculus - College Algebra 31)

  Рет қаралды 35,634

Professor Leonard

Professor Leonard

Күн бұрын

Пікірлер: 67
@aditisingh4596
@aditisingh4596 3 жыл бұрын
This man is legit out here saving lives
@brax300
@brax300 Жыл бұрын
Professor Leonard is my go to man. I now consider him more of my teacher than my actual professor. I go to class to take a few notes and absorb what he has to say, then come home and watch my real lecture on KZbin, sometimes hours after another. Thanks for helping all of us.
@HritikJain
@HritikJain 4 жыл бұрын
You dont know how much you mean to me. Today the love and passion I have towards mathematics is just because of you. I always like to visit your old lectures again and again. Your sense of humour is just awesome😂😭❤️❤️❤️❤️❤️. Love from India.
@maksymandrzejdrzyzgiewicz5096
@maksymandrzejdrzyzgiewicz5096 4 жыл бұрын
The dislikes are from people who believe (X - 3) is a shift to the left by 3
@havaneseday
@havaneseday 6 ай бұрын
LOL
@collina.7336
@collina.7336 3 жыл бұрын
Nobody's talking about those biceps? Okay then... Personally I never thought I'd question if the math teacher was also the football coach. Love your videos! They have been a huge help to me and my classmates in College Algebra!
@PSILoveMathProfessorSampson
@PSILoveMathProfessorSampson 4 жыл бұрын
You have been an inspiration to me. I have been embedding and recommending your channel to my students for years. You inspired me to restart my old channel. Thank you for showing that math is still a thing :)
@natv8277
@natv8277 4 жыл бұрын
Your calculus 1 and 2 videos are really helping me out more than you could know!! deeply and sincerely thank you!!!
@cjnesaurus6991
@cjnesaurus6991 4 жыл бұрын
I just want to say, THANK YOU SO MUCH FOR ALL YOUR WORK!!!
@havaneseday
@havaneseday 6 ай бұрын
I wish I found all these videos a year ago. This is what I hoped my Brilliant subscription and Coursera Pre-Calc course was going to be. Professor Leonard out here helping us normies learn and grow our think tanks. You rock!!
@claireli88
@claireli88 4 жыл бұрын
@37:20 the curve should have a knee at x-intercept x=2 before going downwards because of the cube power of (x-2)^3.
@troyb4533
@troyb4533 3 ай бұрын
You are a phenomenal teacher. Your videos were a life saver in math classes with subpar teachers who always made everything sound more complicated than it actually was. Your videos not only helped me understand the concepts, but caused me to develop a love for math.
@Participationaward6
@Participationaward6 2 жыл бұрын
Thank you for making these videos. You're saving my grade and my confidence in math.
@Woodman34x
@Woodman34x 4 жыл бұрын
Thanks for your videos, Professor Leonard! I have suggested your videos to many students at Lipscomb! Also, thank you for the T-shirt!
@lifeaspuleng6235
@lifeaspuleng6235 10 ай бұрын
thank you very much professor
@claireli88
@claireli88 4 жыл бұрын
In general, for all (x+a)^k where k=odd number not equal to 1, the curve will has a knee before crossing at that x-intercept. The curve will only cross the x-intercept when k=1. When k=even number, the curve always bounce back at that x-intercept.
@michaelappiah7973
@michaelappiah7973 2 жыл бұрын
Thank you so much prof Leonard for you good works🙏🏻
@LillianeErlin
@LillianeErlin 8 ай бұрын
"let me do that quickly in my head... 18,144" Okay the casual flex 😂
@EvilMAiq
@EvilMAiq 3 жыл бұрын
"When you use TP, take it to the max." Instructions unclear, have run out of toilet paper.
@Obscure97
@Obscure97 4 жыл бұрын
Thank you for the lecture Professor Leonard.
@rosepierce9382
@rosepierce9382 Жыл бұрын
Congrats on 700K, Professor!
@georgesadler7830
@georgesadler7830 3 жыл бұрын
Professor Leonard, thank you for another outstanding lecture on how to sketch the graph of a polynomial function with x, y intercepts, multiplicity and the end behavior. Graphing complex polynomials is easy to understand with solid repetition.
@shantyman.
@shantyman. 2 жыл бұрын
thanks prof , love your class!!!!
@jimjim2119
@jimjim2119 2 жыл бұрын
Excellent Professor of math. I wish I had him when I was in college 46 years ago.
@IrfanIrfan-kh5cq
@IrfanIrfan-kh5cq 4 жыл бұрын
thank you sir your teaching
@shravans7184
@shravans7184 3 жыл бұрын
for f(x)=x^2(x-3) the confusion about x=0 point can be solved by considering the Turning Points, as this function has got 2 TPs there is no other possibility of approaching from above x axis and then take downward turn and then upward to x =0 and bouncing back, again turning upwards to reach x=3 where it crosses x axis... that means total 4 TPs..... so we can also use Turning Pts to avoid these types of confusions..... Please correct me if it is wrong...
@thetrueherald9623
@thetrueherald9623 4 жыл бұрын
Honestly, I'm going to Calc 3 and I still click on the videos and watch a bit just because you explain well. Thanks.
@Peter_1986
@Peter_1986 3 жыл бұрын
I have finished all of the math courses on this channel, but I have literally been watching every single playlist up to this video the last several months at 1.5 speed just to rediscover things that I have forgotten. 8-) I started with "Prealgebra", then "To The Point Math (TTP Videos)" then "Intermediate Algebra", and now I am rewatching this playlist.
@rosepierce9382
@rosepierce9382 Жыл бұрын
@@Peter_1986 I have that problem too. I watch some videos and like a couple months later, I forget all of it. So that's why I am actively taking notes this time, so I can review them later. How do you deal with this? Do you know where I can get some pre-written notes? It'd save a lot of time for me.
@ryanwilson9555
@ryanwilson9555 4 жыл бұрын
The graph for f(x)=-2(x+2)(x-2)^3 is still slightly inaccurate. The graph should being flattening out a bit around the point (2,0). The reason is that as your multiplicity (even or odd) grows (for example 1->3->5), the graph tends to flatten (not completely) out more and more around that particular x-intercept.
@mathswithmuhammadyasir5845
@mathswithmuhammadyasir5845 4 жыл бұрын
You are really great teacher n it's our luck to have you on KZbin from Pakistan
@TheBreadBeaterBoys
@TheBreadBeaterBoys 3 ай бұрын
best teacher no doubt
@onemanenclave
@onemanenclave 4 жыл бұрын
im just waiting for you to get to graphing rational functions. now that is real hell on earth.
@misanthropy_m
@misanthropy_m 11 ай бұрын
Sir you are saving my life
@JuanPabloMartinez-b8m
@JuanPabloMartinez-b8m 8 ай бұрын
Perfect as always
@eos2823
@eos2823 3 жыл бұрын
Thank you professor
@greggunter8995
@greggunter8995 2 жыл бұрын
5:30 it took me way longer than 10 minutes 🤣 just under 27 minutes, but I didn't make any errors at least, if you distribute the function you get the following: h(x )= -2x^10 - 12x^9 + (51/2)x^8 + (795/2)x^7 + 2403x^6 + 11103x^5 + (62899/2)x^4 + (136539/2)x^3 + 122130x^2 + 83592x + 18144
@NovaWarrior77
@NovaWarrior77 4 жыл бұрын
Thank you so much!
@zeeshan5146
@zeeshan5146 2 жыл бұрын
U r great blessed w/ knowledge
@denizasr
@denizasr 3 жыл бұрын
27:10 mY gRaPh dOeSn'T wOrK 😂
@fedrooo4845
@fedrooo4845 4 жыл бұрын
Thank you, Professor Leonard ^_^
@uNknownrMx
@uNknownrMx Жыл бұрын
I LOVE YOU SO MUCH!
@angajasonr.2422
@angajasonr.2422 10 ай бұрын
Thank you men
@anynomouse
@anynomouse 4 жыл бұрын
Thank you a lot !!!!!
@simplyjenny7918
@simplyjenny7918 4 жыл бұрын
Please do more videos in differential equations
@The_Angry_BeEconomist
@The_Angry_BeEconomist 3 жыл бұрын
did he say bouncies and crossies? 25:30
@abdallahm2299
@abdallahm2299 9 ай бұрын
30:34
@xlvii6994
@xlvii6994 3 жыл бұрын
after precalculus should somebody dive straight into calculus 1 or there's something before that?
@Geezer48-v4v
@Geezer48-v4v 3 күн бұрын
You're ready for calculus .
@jecs3300
@jecs3300 4 жыл бұрын
Please make a video abput Laplace Transform
@politicamenteincorrecto2547
@politicamenteincorrecto2547 4 жыл бұрын
professor I want some discrete math videos where can I go.here on your channel
@AdnanKhan-mm6bo
@AdnanKhan-mm6bo 4 жыл бұрын
Luv 2c u again..❣
@Marianna___Silva28
@Marianna___Silva28 4 жыл бұрын
Legendas em português.. E falar mais devagar ,please.
@gianlucacastro5281
@gianlucacastro5281 4 жыл бұрын
Legendar um vídeo de 1 hora é um trabalho grande, acho difícil que adicionem eventualmente ...
@thatomofolo452
@thatomofolo452 2 ай бұрын
I get it 🎉
@livingonmars6056
@livingonmars6056 6 ай бұрын
Can anyone save me? Why the leading term is -2x^2? Thanks!!!!!!!!!!!!!!!!!!
@flooplez
@flooplez 5 ай бұрын
27:10 I actually thought that was pretty funny
@williamparas9398
@williamparas9398 6 ай бұрын
goat
@surojpaul14
@surojpaul14 3 жыл бұрын
legend🦸‍♂️
@SeemaSharma-cb9gd
@SeemaSharma-cb9gd 4 жыл бұрын
I am a medical student i donno what I am doing here 😆 but i still understand each and everything in this video😅😅😅
@egoiisticprince7977
@egoiisticprince7977 4 жыл бұрын
Plz go and study ur stuff.. you wud waste your time here
@Tjurenful
@Tjurenful 4 жыл бұрын
Weird flex cause it's high school math in this video. You should understand it if you got in to medicine.
@williamparas9398
@williamparas9398 6 ай бұрын
LOL
@chemicalengineeringbd7614
@chemicalengineeringbd7614 4 жыл бұрын
This is a gift to you to protect you recite it everyday Quran Surah: Al Falaq بِسۡمِ ٱللهِ ٱلرَّحۡمَـٰنِ ٱلرَّحِيمِ قُلۡ أَعُوذُ بِرَبِّ ٱلۡفَلَقِ (١) مِن شَرِّ مَا خَلَقَ (٢) وَمِن شَرِّ غَاسِقٍ إِذَا وَقَبَ (٣) وَمِن شَرِّ ٱلنَّفَّـٰثَـٰتِ فِى ٱلۡعُقَدِ (٤)وَمِن شَرِّ حَاسِدٍ إِذَا حَسَدَ (٥) Say: I seek refuge in the Lord of the Daybreak (1) From the evil of that which He created; (2) From the evil of the darkness when it is intense, (3) And from the evil of malignant witchcraft, (4) And from the evil of the envier when he envieth. (5)
@shravans7184
@shravans7184 3 жыл бұрын
Don't bring your bullshit here please ...... feel sorry for people like you...in 21st century believing stuff like that, medieval mindset..
@manishpingale6558
@manishpingale6558 3 жыл бұрын
I just want to say, THANK YOU SO MUCH FOR ALL YOUR WORK!!!
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