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Properties of Functions - Even vs Odd (Precalculus - College Algebra 8) 

Professor Leonard
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A Graphical and Algebraic exploration of Even Functions and Odd Functions.

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27 июл 2024

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Комментарии : 109   
@nehaljhirmaria
@nehaljhirmaria 4 года назад
Your biceps are an even function!
@VieciTheengineerastronaut
@VieciTheengineerastronaut Год назад
YOUU LITTLEEEEE .AAAAAAA.. 😂😂😂😂😂😂😂😂😂😂😂
@mr.a9241
@mr.a9241 11 месяцев назад
Damn 😂
@wearegettingdumber...2263
@wearegettingdumber...2263 4 года назад
I'm in Calculus 1 and this has been by far the absolute best explanation of this concept I have ever seen. You are an awesome instructor, and I appreciate the content you are creating. Thank you so much!
@mattdrafted2024
@mattdrafted2024 4 года назад
I agreed
@ClaytonLivsey
@ClaytonLivsey 4 года назад
Whenever I have problems in my life, I just remember the great advice Professor Leonard gives at 24:57
@23Padron
@23Padron 4 года назад
Attention everyone in the comment section. This is the best mathematical video you can watch. That is all.
@aalekhrasal4246
@aalekhrasal4246 2 года назад
This is by far the best explanation of this concept. I FINALLY get it! Thank you so much Professor Leonard
@SH-cj5qu
@SH-cj5qu 3 года назад
Your voice is so calming, i've learnt alot thank you
@philosophertiger4124
@philosophertiger4124 3 года назад
This helped me better understand the difference between even and odd functions. Thankyou for this lesson; I am watching these videos alongside a Khan academy pre-calculus class in order to get ride of my math anxiety for trigonometry.
@waryjelly
@waryjelly 2 месяца назад
Thank you so much for making these videos! I struggled with math my whole life! You helped me pass my college algebra class!
@raiyanreza9764
@raiyanreza9764 Год назад
all that hand gestures helped me understane old functions finally!
@mattdrafted2024
@mattdrafted2024 4 года назад
You are the best Professor Leonard. Thank you for all your hard work.
@harshivchhabra4180
@harshivchhabra4180 3 года назад
legit the best professor I've had. I will donate a shitton of money to you once I start earning.
@mridulkotriwala2265
@mridulkotriwala2265 3 года назад
@ Professor Leonard I am from India... really thankful to you for your videos .....you made maths very interesting for me. You make concepts look so easy .....I can't say how much I thank you......you are a superhero... ❤️❤️Thank you
@georgesadler7830
@georgesadler7830 2 года назад
Professor Leonard, thank you for a beautiful explanation on the Properties of Functions that focus on Even and ODD functions. Even and Odd functions exist everywhere in science and engineering.
@heydyvex
@heydyvex 7 месяцев назад
You are so good at this, helped me to find beauty in math THANK YOU, I'm waiting for linear algebra
@nancyspicer4337
@nancyspicer4337 Год назад
thanks I am glad I found your way of teaching it explains so much that I am now ready to take the test in math.
@ALEX-bk5qm
@ALEX-bk5qm 4 месяца назад
THINKS U SO MUCH u helped me a lot i love the way u teach
@maximoleon5295
@maximoleon5295 Год назад
a huge thank you to you dear teacher
@kavitaarya9327
@kavitaarya9327 3 года назад
Sir u are best teacher in u tube. U always take doubts of student which always make misconception about the topic. Thank u so much sir .
@johnx5k
@johnx5k 2 года назад
OMG 😳 THANK YOU !!!!!!!! Soooooo easy… after I learned…. It make so much sense
@socialonly4491
@socialonly4491 2 года назад
Woooow , this explanation is powerful, thank you a lot I do appreciate it🙏
@theworldofcreativity9071
@theworldofcreativity9071 9 дней назад
I was going to ask if I could write -f(x)=f(-x) instead of f(x)=-f(-x) but you cleared my doubts at 14:56. Thanks so much prof. Leonard!
@shaniyadav3823
@shaniyadav3823 4 года назад
I am your big fan
@HylianEvil
@HylianEvil 4 года назад
Clicked because of the guns. I even learned something too!
@Stone_r666
@Stone_r666 2 года назад
😂 I feel you. The superman icon is too fitting.
@zakerhussainnazari4064
@zakerhussainnazari4064 Год назад
Thank you , thank you , thank you..............................................................
@polouu4377
@polouu4377 4 года назад
you're amazing dude
@jos2294
@jos2294 4 года назад
Please do Linear transformations and vector spaces
@aminmoafi5148
@aminmoafi5148 Год назад
Thanks, professor!
@letlhogonolomotebe7663
@letlhogonolomotebe7663 2 года назад
The best professor ever...
@Peter_1986
@Peter_1986 3 года назад
lol the subtitles at 20:40. _"That's what God looks like"_
@shaniyadav3823
@shaniyadav3823 4 года назад
Your physic and teaching method
@johnlouisville
@johnlouisville 4 года назад
Great explanation of a confusing concept.
@icee562
@icee562 4 года назад
This comes of great use in Fourier Analysis!!!
@cs4maths610
@cs4maths610 4 года назад
Explanation is super IAM also maths lecturer
@HeyHey-np5gq
@HeyHey-np5gq 4 года назад
ok man, whats is your bench, and do you do legs
@ProfessorLeonard
@ProfessorLeonard 4 года назад
Love Leg Day!!
@HeyHey-np5gq
@HeyHey-np5gq 4 года назад
@@ProfessorLeonard lol good, in calculus 3, all the guys wanted to know was if you do legs. thank you for answering our biggest question in life
@tiborkemeny8644
@tiborkemeny8644 3 года назад
@@ProfessorLeonard Then proof it :)
@manishpingale6558
@manishpingale6558 2 года назад
Legend!
@TheEndernal
@TheEndernal 3 года назад
I’m going to try and take calculus in my freshman year of high school
@zeeshan7372
@zeeshan7372 Год назад
Mind blowing
@karan_karan_karan
@karan_karan_karan Год назад
at 12:25 my mind was blown... THANK YOU!!!
@karan_karan_karan
@karan_karan_karan Год назад
likeeeee it all clicked thank you!!!!
@themonk2508
@themonk2508 2 года назад
Watch at 1080p guys . It's amazing that way
@deepanjan.sengupta
@deepanjan.sengupta 4 года назад
Hi Prof. Leonard. Could you create a RU-vid payment account for your subscribers ( apart from Patreon)? That way it would be very easy for us to support in whatever we could. You are the best Math teacher on planet 🌎. Regards and Respect from India
@acer1748
@acer1748 4 года назад
Not even taking calculus but enjoying watching!
@ElNietoPR
@ElNietoPR 4 года назад
Still buff AF
@shaniyadav3823
@shaniyadav3823 4 года назад
Sir please tell me your diets
@bernd8608
@bernd8608 4 года назад
Should I learn differential equations before or after taking calc 3? What about probability/linear algebra?
@jamador408
@jamador408 4 года назад
I learned it before calc 3. It wasnt bad at all just got to make sure you go over partial derivatives which isnt bad. Also, have your calculus techniques down! (Integration, differentiation)
@muhammadahmedjaved7691
@muhammadahmedjaved7691 4 года назад
You are a very nice teacher
@gaganthegamex4184
@gaganthegamex4184 Месяц назад
I trust you because you got bigger biceps then mine
@onlineskillsbyimranbilal
@onlineskillsbyimranbilal 2 года назад
Verybhelpful
@mustafamalik4211
@mustafamalik4211 4 года назад
When you are browsing through differential equations and you bump into the precal series. Good time.
@anupammishra2719
@anupammishra2719 4 года назад
Thank u sir😊😄💪.Here is something sweet for u🍨🍧🍧🍧
@jondwyer9323
@jondwyer9323 4 года назад
Lol Lenny getting a pump before recording?😎
@TwentyThree-23
@TwentyThree-23 3 года назад
At 6:25 Can I write the domain as the following: { x | -4 < x < 4 } (The signs would be greater than or equal to, I just don’t have the symbol. And in interval notation [ -4 , 4 ] ? Also would Range be written as { x | 0 < y < 3 } again, the signs being greater than or equal to.
@cookhindigaming4795
@cookhindigaming4795 2 месяца назад
Yes Dude it's perfectly fine
@rohitbosh4349
@rohitbosh4349 2 года назад
I have a question.... Suppose f(odd)=g(odd) and f(even)≠g(even) Or, f(even)=g(even) but f(odd)≠g(odd) Then can i say f(x)≠g(x) [if x if integer] (Is this correct?)
@captainjacksparrow933
@captainjacksparrow933 Год назад
The example with a hyperbola defies the definition of function by vertical line test so how can we term it as odd function?(doubt)
@omarel-shetehy2665
@omarel-shetehy2665 3 года назад
16:41
@alumi9818
@alumi9818 4 года назад
at 22:20 you wrote that = -3x^3 + 5 -> -(3x^3-5) shouldn't it be -(3x^3+5) ??
@felliesweetie
@felliesweetie 4 года назад
No! It is correct how he wrote it! -(3x^3+5) = -3x^3-5
@paulmaggiar8274
@paulmaggiar8274 Год назад
Sundae, you are correct. 5(-x)^0=-5. When you factor out the -1 you get 3x^3+5. This is an odd function
@paulmaggiar8274
@paulmaggiar8274 Год назад
@@felliesweetie 5(x)^0=5. 5(-x)^0=-5. Sundae is correct. This is indeed an odd function as can be verified on a graphing calculator.
@hkanhai5094
@hkanhai5094 4 года назад
Hi professor good afternoon. Are u doing any different course in class where u can Video it as u did for your calculus videos ?
@iyalodeolajubu6653
@iyalodeolajubu6653 10 месяцев назад
true
@isobar5857
@isobar5857 3 года назад
Bit confused sir, at 12.22 the top right graph will give the same output for -4 and +4, i.e. zero. Isn't that the definition of an even function, not an odd one ?
@alex-ie8tp
@alex-ie8tp 3 года назад
the definition should be valid for every point, not just one
@godstroke
@godstroke 2 года назад
professor "how are you supposed to count your sets if you can't math?" leonard
@nishagc9753
@nishagc9753 4 года назад
Could you give the lecture of probability!!!!!!
@mahmoudelssawy245
@mahmoudelssawy245 4 года назад
He already did.
@souzou1000
@souzou1000 4 года назад
where are the rest of the videos?
@sscc587
@sscc587 4 года назад
Dammmmnnnnnn!!!!!
@Clutcch
@Clutcch 2 года назад
8
@aaqibali9349
@aaqibali9349 4 года назад
Prof. plz make videos on Spatial functions . Like bessel .legendre functions etc
@mattdrafted2024
@mattdrafted2024 4 года назад
You are a total Idiot
@Euphemia-em8fe
@Euphemia-em8fe 3 месяца назад
day 2
@redetmillion1338
@redetmillion1338 Год назад
you're total genus's
@2pacgilsi589
@2pacgilsi589 5 месяцев назад
Easy ❤🎉😊
@JLiptak
@JLiptak 3 года назад
Actually I've never seen algebraic expression of odd function as you wrote first before, thus f(x)=-f(-x). But I have to tell you that I like it better than traditional notation f(-x)=-f(x). In the first way, I would say that it's more obvious for students to comprehend what exactly this algebraic expression means. :)
@jeanjulmis2347
@jeanjulmis2347 2 года назад
it depends on how you wrote it. If you isolate f(-x) by multiplying by negative 1, you will get: -f(-x)=f(x)=> f(-x)= -f(x).
@pkus
@pkus 2 года назад
​@@jeanjulmis2347 he says f(x) = -f(-x) according to his graph, f(1) = 2 and then f(-1) = -2 but -f(-x) gives me -(-2) = 2? right?
@jeanjulmis2347
@jeanjulmis2347 2 года назад
@@pkus right on!
@mahalingama4162
@mahalingama4162 4 года назад
Can anybody tell does this channel contain functions of several variable !
@taz7275
@taz7275 3 года назад
Couldn’t pay attention
@hz6612
@hz6612 Год назад
thank you mr leonard , i will pray god to bless you and pray god to make you muslim
@Antri-jd9jy
@Antri-jd9jy 3 месяца назад
Was necessary the last part? We are here to learn, keep your religion to yourself.
@hz6612
@hz6612 3 месяца назад
@@Antri-jd9jy the greatest knowledge is knowing that god is real and islam is the true religion
@Antri-jd9jy
@Antri-jd9jy 3 месяца назад
@@hz6612 Good for you but keep that to yourself, just as I respect you practicing your faith, also respect other non Muslim people.
@hz6612
@hz6612 3 месяца назад
@@Antri-jd9jy i say i want , you just want and what im saying god wants it to be said as man have a task of informing about islam , but people like you i think they dont want anything about religion to be spoken , if you dont like it then just ignore me but thats not of your buisness if me or any other person wants to speak abotu islam , because we want think about what you like and waht you dont before we speak about religion , cuz some people like you would find it a nonsense but many other wouuld find it very helpful. and now learn how to deal with it .
@Antri-jd9jy
@Antri-jd9jy 3 месяца назад
@@hz6612 Would you kill a non Muslim? Genuinely asking.
@krystinasaragos1535
@krystinasaragos1535 4 года назад
I just don’t understand. Is precalculus just intermediate algebra with trigonometry? Cause didn’t we learn this in algebra class?
@ProfessorLeonard
@ProfessorLeonard 4 года назад
It is VERY similar, but Precalculus will go much more indepth in just a bit
@krystinasaragos1535
@krystinasaragos1535 4 года назад
Professor Leonard ... So at what number video do you start teaching precalculus? I swear all of the videos I’ve watched so far, currently on this one, are exactly what I learned in my intermediate algebra class. So when does the precalculus start? Am I still not getting it? 😂
@TheMountainBeyondTheWoods
@TheMountainBeyondTheWoods 4 года назад
Krystina, for those of us that haven't been in school for a looong time or I never even learned it while in school this is extremely helpful. If you already know this part why not just skip ahead to a video where the Prof is teaching what you need help on?
@felliesweetie
@felliesweetie 4 года назад
@@krystinasaragos1535 Patience!
@TheEndernal
@TheEndernal 3 года назад
I’m an 8th grader who binge watches khan academy so I’ve learned these concepts but it’s good to get another explanation. This channel explains well
@mahalingama4162
@mahalingama4162 4 года назад
What RU-vid channel which are helpful for engineering 1st year mathematics ? Anyone suggest pls ?
@mahalingama4162
@mahalingama4162 4 года назад
@Oscar Rivers what ? U mean this channel ?
@eatinsomtin9984
@eatinsomtin9984 3 года назад
All the woman in the comment section: 👀
@idealisticusgenius8089
@idealisticusgenius8089 4 года назад
Первый русский
@ryleeleavitt8522
@ryleeleavitt8522 3 года назад
What does this mean