Even, Odd, or Neither Functions The Easy Way! - Graphs & Algebraically, Properties & Symmetry

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  • čas přidán 14. 02. 2017
  • This algebra 2 and precalculus video tutorial explains how to determine whether a function f is even, odd, or neither algebraically and using graphs. This video contains plenty of examples and practice problems using variables and constants. First, plug in -x into the equation and see if the sign changes. If all signs change, it's an odd function. If they all remain the same, then it's an even function. If some change while others do not, the function is neither even or odd. For graphs, even functions are symmetric about the y axis. For odd functions, the symmetry exists about the origin. For circles with even and odd properties, it does not pass the vertical line test and is therefore not a function.
    Introduction to Functions:
    • Functions - Vertical L...
    Evaluating Functions:
    • Evaluating Functions -...
    Function Operations:
    • Function Operations
    Increasing and Decreasing Functions:
    • Increasing and Decreas...
    Relative Maximum & Minimum Values:
    • Identifying The Relati...
    _____________________________________
    Relations and Functions:
    • Relations and Function...
    Domain and Range From a Graph:
    • Domain and Range of a ...
    How To Find The Domain of a Function:
    • How To Find The Domain...
    Average Rate of Change of a Function:
    • Average Rate of Change...
    The Difference Quotient of a Function:
    • Difference Quotient
    _____________________________________
    Evaluating Piecewise Functions:
    • Evaluating Piecewise F...
    Graphing Piecewise Functions:
    • Graphing Piecewise Fun...
    Composite Functions:
    • Composite Functions
    How To Evaluate Composite Functions:
    • How To Evaluate Compos...
    Composite Functions - Data Table:
    • How To Evaluate Compos...
    Comp. of 3 Functions - Data Table:
    • Composition of Three F...
    Decomposing Functions:
    • Decomposing Functions ...
    _________________________________
    Introduction to Inverse Functions:
    • Introduction to Invers...
    How To Find The Inverse of a Function:
    • How To Find The Invers...
    Verifying Inverse Functions:
    • Verifying Inverse Func...
    Horizontal Line Test - 1 to 1 Functions:
    • Horizontal Line Test a...
    Vertical Line Test:
    • Vertical Line Test
    Graphing Inverse Functions:
    • Graphing Inverse Funct...
    Composite and Inverse Functions:
    • Composite Functions an...
    __________________________________
    Even and Odd Functions:
    • Even, Odd, or Neither ...
    Transformations of Functions:
    • Transformations of Fun...
    Linear Functions:
    • Linear Functions
    Functions and Graphs - Problems:
    • Functions and Graphs |...
    Functions - Test Review:
    • Functions
    ______________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 723

  • @TheOrganicChemistryTutor

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Functions and Graphs: czcams.com/video/ZTEv8OnGaxo/video.html
    Transformations of Functions: czcams.com/video/tyQLp6x-GoU/video.html
    Graphing Polynomial Functions: czcams.com/video/rOOefdqMvtA/video.html
    Next Video: czcams.com/video/BtcKotD6Ni8/video.html

    • @tjn7682
      @tjn7682 Před 5 měsíci

      Hi there! Hope you are well❤... thank you for all your helpful videos! I was hoping if you could make a video on how to decompose trig functions? Thank youuu

  • @TheLDARtist
    @TheLDARtist Před 5 lety +2937

    “The easy way, and then the way your teacher wants you to do it” 😂

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    @BeardedDragonOwners Před 5 lety +2628

    Yes, the videos from 2006 are really helping.

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      @cheeesonator Před 5 lety +97

      That's what I always said in my head as I was preparing to watch a Patrick JMT video with that add interrupting

    • @AlexVoxel
      @AlexVoxel Před 5 lety +65

      This video is from 2017 tho

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    @ednakirkland1706 Před 6 lety +895

    I like the way you explain everything steps by step. Everything makes sense. You deserve more viewers and subscribers.

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    @khethisalebakeng8555 Před 6 lety +727

    if we had teachers put things the way you do, every student would claim that math is FUN.I Salute you

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  Před 6 lety +247

      Thanks

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      @curtis2962 Před 3 lety +6

      ikr

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      @EmpyreanLightASMR Před 2 lety +9

      @@happier8313 That's the way it should be. Celebrating the ones who taught us, not the ones who are millionaire entertainers (but I get it lol)

    • @ezzybizzii8227
      @ezzybizzii8227 Před 2 lety +1

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    @TheRobel333 Před 7 lety +865

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  • @rjfontenotiii
    @rjfontenotiii Před rokem +25

    I needed this refresher. This stuff might seem unimportant now, but it gets important once you get to calculus 2. You will eventually be given an impossible-to-solve problem that simplifies to 0 but only if you know if the function is even.

    • @Nolracular
      @Nolracular Před 7 měsíci

      I find it really interesting how the point of math is solving puzzles

  • @rexraptor1094
    @rexraptor1094 Před 3 lety +220

    I’m already 3 minutes in the video and I get it already. My professor need to takes notes on how this guy teaches

    • @bharatthapa5592
      @bharatthapa5592 Před 3 lety +21

      the problem is not with the professor. It's just that you don't pay attention in your class but you do while watching it on youtube.

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      @ve6ga Před 2 lety +3

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    • @tourniquet7101
      @tourniquet7101 Před 2 lety +10

      Not necessarily. My teacher is retiring this year and quite literally does not give a shit about teaching us properly. The kids in my class act like animals, and I'm lucky if I comprehend anything by the end of class.

    • @ilyasdev8962
      @ilyasdev8962 Před 2 lety +1

      @@tourniquet7101 lol perfect descriptions of students these days

    • @tourniquet7101
      @tourniquet7101 Před 2 lety

      @@ilyasdev8962 I honestly wish I was kidding. An upperclassman thought it would be funny to start scurrying around on all-fours and meow like a cat, hiss by the pencil sharpener, and generally act idiotic.

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    @kebijk281 Před rokem +16

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  • @MrKarenke0912
    @MrKarenke0912 Před 5 lety +52

    That ending was deep

  • @Rainsong777
    @Rainsong777 Před 6 lety +136

    Just after 08:08, you left out the minus in front of the f(x) that proves the function is ODD...
    f(-x) = -f(x)
    Amazing & clear explanations......... Thank you......!!!!!!!!!

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    Who else is here for Pre-Cal? 😀🙋‍♂️

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    I have finals tommorow and this man explained the lesson in 17 min way better then my teacher did in 3 weeks

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    A 17 minute video surpasses a 2 hour class😫💞🥺iykyk😪😅😅

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    @romarocha3044 Před 5 lety +23

    Thank god! My professor talks so fast I can never keep up! 🤯🤯 this has been very helpful thank you thank you !! 🙂

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    @icronicfails2497 Před 6 lety +22

    I wish i had a teacher like you, AMAZING

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    @miriamjean9691 Před 5 lety +15

    Thank you so much for your help. I love that you show multiple examples, and your so easy to follow!
    Great work!

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    @hadashahdecker1053 Před 10 měsíci +1

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  • @selosindis
    @selosindis Před 4 lety +7

    An excellent video. I'd been searching for clarity on this, and this finally made it click. Thank you!

  • @jasminejoaquin4605
    @jasminejoaquin4605 Před 5 lety +186

    Awesome video!!!! Explains so much! :)
    P.S. You missed a negative sign at 8:10

    • @michaellhommedieu1081
      @michaellhommedieu1081 Před 4 lety +25

      Jasmine Joaquin thanks so much for saying that. I noticed it but i thought I was going crazy and therefore didn’t understand the material lol

    • @ahmedali10s
      @ahmedali10s Před 4 lety +9

      I thought I didn’t understand until u said this. Thx bro

    • @azfarhasan5435
      @azfarhasan5435 Před 3 lety +1

      where? i dont see any problem

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      @chetanbarhate4840 Před 3 lety +2

      U also awesome 👍👍

    • @VuezWeb
      @VuezWeb Před 2 lety +1

      thought I was trippin

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    @elliezdancewic958 Před 6 lety +40

    Best video I've watched so far on this topic. Even though it does not have all the frills and the fanciness of other videos, this one knocks them out of the park! So well explained and taught. Thanks!

  • @IntheLifeofQue
    @IntheLifeofQue Před 4 lety +23

    You’ve saved my grades numerous of times! Thank you ❤️

  • @ALI-xt4xe
    @ALI-xt4xe Před 2 lety +7

    I learned more in a minute, 54 seconds than the whole week we have been on this topic

  • @luisalonso5817
    @luisalonso5817 Před 2 lety

    OH MY GOD. You just explain things in a way that is so clear to me. My developmental/algebra math class used almost exclusively these videos and and my precalc class does not. I'm coming here for help for sure.

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    @ZN9_xe Před 9 měsíci +1

    You teach in the calmest way possible and your explanation are amazing and easy to understand. Props to a teacher like you 🎉❤

  • @spencerbarr3238
    @spencerbarr3238 Před 4 lety +2

    Thank you so much! This was a very straight forward explanation and I was able to get through my trouble with this section of my precalculus class.

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    Sir u literally helped me...I didn't understand a single thing while my teacher was teaching...now I'm perfect in this concept ...thank u sir

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    No other channels explain the way you do sir, and I'm glad I understand because I was able to become a mathematical expert before the exam in just one day 😭😂

  • @delta22551
    @delta22551 Před rokem +16

    All these years trying to fully understand the odd function notation f(-x)=-f(x), and now with the factoring out the "-1" finally and suddenly it all made sense! I know I'm late to the party, but thanks anyways...🤣😂😀

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    @vinc8ntl8r Před 10 měsíci +1

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  • @snicksss
    @snicksss Před 2 lety +4

    me watching this: “Oh that makes perfect sense! I get it now!”
    me looking at my worksheet: *sees fractions, square roots and absolute value* ಠ_ಠ

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    @FT-ql7lc Před 3 lety +1

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    Oh my God can't believe It took me this much time to understand this

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    @mailena88 Před 9 měsíci +1

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  • @georgesadler7830
    @georgesadler7830 Před 2 lety +3

    MR. Organic Chemistry Tutor, thank you for an excellent explanation of Even, Odd or Neither Functions Allergically and by using Graphs.

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    @auntylusia Před 2 lety +2

    I wish I can meet you in person,just kneeling down and pray to god for a wonderful Man he brought into this world ,The word impossible does not exist to you ,you make everything possible in your own ways .SALUTE!!

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    This man explains it better than most math teachers. Thanks to him, I can cram and learn the material in less than a few hours

  • @poojabangay8287
    @poojabangay8287 Před 3 lety +3

    You've explained how to determine whether a function is even or odd very well and clearly
    Thank you

  • @amandam5175
    @amandam5175 Před 3 lety +1

    Thank you!! My math professor this semester is awful, so I'm grateful for any help I can get!

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    • @user-sl3eo3xn1p
      @user-sl3eo3xn1p Před 3 lety

      Same thought here :)

    • @Luingus
      @Luingus Před 3 lety +5

      i believe he has a patreon. you could drop like 5 or 10 bucks there as a thank you.

    • @tulliahanjani9549
      @tulliahanjani9549 Před 2 lety +1

      near the like button there's a button that has a heart with a money sign in it and says thanks. click that and you can send him money

    • @Sophia-wv2gk
      @Sophia-wv2gk Před rokem

      Not the pi pun 😭(gotta remember that 3.14159 etc.)

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    You are the best in all the teachers I have studied from.

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    @AlexVoxel Před 5 lety +2

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    @dougosullivan8012 Před 3 lety

    This video helped so much! I hadn't a clue what my lecturer was on about before this so thanks a million!

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    @cesardelcid-palma3594 Před 5 lety +3

    You are saving me in College Algebra. Thank you so much, bless you

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    @matthewdichigo Před rokem

    if these videos didnt exist i would have failed math in college a long time ago need people like you around

  • @laurenorourke2442
    @laurenorourke2442 Před 5 lety +1

    thank you so much for this video!! i was so confused in algebra earlier and my grade isn’t good right now:( but this really helped me better understand even and odd functions!

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    @aaroncamacho8537 Před 2 lety

    You're the best. Your videos have made going back to college possible. Great stuff!

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    @aabhusanaryal90 Před 4 lety +59

    6:04 "Anything raised to the 0 power is one"
    Me: Raises 0 to the power of 0 and obtains 1
    Maths: You are a joke to me!

  • @saidfarid6382
    @saidfarid6382 Před 2 lety +4

    Hello professor
    Thank you so much for your priceless advice and interesting guidance.

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    @chriswilliams5291 Před 2 lety

    This video was so helpful. Keep up the good work!

  • @vinasanjoyo
    @vinasanjoyo Před 4 lety

    That last one was so tricky, I was answering even and odd, but then you said that it's not even a function, great one for a mind exercise! :D

  • @ulianastorozh5582
    @ulianastorozh5582 Před 4 lety

    OMG!!!!!! so clear, why my teacher had to confuse it so much!! I thank you from whole my heart to you!

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    @autumnrenee1605 Před rokem +1

    Thanks for the little trick!!! VERY helpful!!! I have a timed exam coming up, so this will help me cut down on time a ton!!

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    @ghostjoker101 Před 2 měsíci

    Your videos are a life saver, my college should use your videos as tutorials.

  • @akashpadavala5827
    @akashpadavala5827 Před 3 lety

    This videos really helped me, I was really confused between odd and neither but I'm satisfied

  • @donnamarie33
    @donnamarie33 Před 5 lety

    This was actually super helpful. I now have some understanding of what is happening in class

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    @nivethikamuthukumar3084 Před 4 lety +1

    bro ive never left a comment on youtube but your freaking gooooooddd

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    @cantthinkofausername6945 Před 9 měsíci

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    @chadmcmillan1907 Před 5 lety

    Thank you for making this video! It's helping me study for my MAT151 final exam!

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    @ethanmena2807 Před 3 lety

    Bro this dude explains it so amazingly and so simple!!

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    @hawadrammeh8870 Před 4 lety

    Best video I've seen regarding this thus far!

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    @nonhledlamini1750 Před 6 lety

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    @ilkeuyankerstudent5347 Před 4 lety +2

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    @1829Emily Před 5 lety

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    @vionamillian192 Před 3 lety +1

    Thank you! The video makes you easy to understand. Besides, I like the examples given.

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    @OratileMoagi Před 5 měsíci

    NO MAN , YOU'RE THE BEST!!!! Your videos helped me during my high school year and they are still helpful now that i'm in varsity
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    @ghadamedhat87 Před 4 lety

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    @OneNour Před 7 lety +3

    Thanks a lots really you did an excellent job. keep doing what you are doing.

  • @itakitamasuma
    @itakitamasuma Před 10 měsíci

    Thank you so much your video is really help full. Now I understand how to determine odd, even from a graph.

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    @arminkrahbar Před 4 lety +1

    your videos are amazingly helpful. Thank you!!!

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    @EsMagic Před 5 lety

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    @wildchild2866 Před 4 lety +1

    weird compliment but your tone makes it relaxing to learn math....thanks so much

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    @thatuv5653 Před 6 lety

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    @neilnemes Před rokem

    I'm a huge fan, in fact you inspired me to make my own in my language and I'm trying to make if as easy as possible. Thank you and I hope I get noticed.

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    @foundforever2351 Před 5 lety +25

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    @hemungkapoor1368 Před 3 lety +1

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    @johnryan6422 Před 3 lety

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  • @magdafigueroa5729
    @magdafigueroa5729 Před 3 lety +1

    I was struggling with this concept for a while :/ My teacher likes to overcomplicate explanations. This is how he should explain it tbh. Thank you so much!

  • @glennwatson3313
    @glennwatson3313 Před 3 lety

    Well done. It took me an hour to get through this but that is as it should be.

  • @mochii9281
    @mochii9281 Před 5 lety

    Tysm for the vids!!! Ur the reason i understand functuons 😭😭

  • @zsantewashington4225
    @zsantewashington4225 Před 11 měsíci

    You explained this so well! It clicked instsantly!! You are amazing

  • @curtis2962
    @curtis2962 Před 3 lety

    Thanks for making this easy to understand bro!

  • @ayatfromquran8100
    @ayatfromquran8100 Před 6 lety

    Thank You Very much
    ♥ First Excellent Explanation ، wonderful and simplified on CZcams ♥
    Thank You From KSA

  • @Chrisokoi
    @Chrisokoi Před 3 měsíci

    The way he explains things is so amazing