Even and Odd Functions Many Examples

แชร์
ฝัง
  • เผยแพร่เมื่อ 12 ก.ย. 2024

ความคิดเห็น • 103

  • @Baron-nv1ez
    @Baron-nv1ez 5 ปีที่แล้ว +7

    You sir are a Godsend to all of use that hate learning the "old-school" way that involves a teacher explaining boring concepts in the most boring manner possible. Keep up the good work.

    • @profrobbob
      @profrobbob  5 ปีที่แล้ว +6

      Thanks for seeking outside help and choosing this channel to learn from!
      ...and thanks to that "old school" way of teaching I continue to have a job and one that I love and enjoy monday thru friday...BAM!!!

  • @joshthompson8265
    @joshthompson8265 9 ปีที่แล้ว +2

    ive been using your instruction for about a year now while studying math. youre creating the model that all instruction will move to. this method of media also allows those who wouldnt attend college for whatever reason to become engaging and redefine what employers look for in qualified individuals. new videos look awesome by the way

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      Thanks for being such a loyal viewer josh thompson and taking the time to share your experience and thoughts for the future...as long as parents keep teaching cursive writing at home I think I'll be around for a while yet:)
      Don't forget to like, subscribe and share your knowledge with others..BAM!!
      Glad you like the new videos too.

  • @chiviza
    @chiviza 6 ปีที่แล้ว +6

    I haven’t even watched a minute of your video and I already had to like it because everything is so well explained with your graph and the functions next to each other. And what you just said about being opposites, not actually negatives.

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว +1

      Thanks for watching, liking and commenting...please take the time to subscribe and share this channel with everyone:D

  • @Devarttidez
    @Devarttidez 7 ปีที่แล้ว +4

    THANK YOU my teacher moves TOO fast and the class has trouble keeping up. Great to learn at my pace with you. Thank you!

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      You're welcome and thanks for subbing and seeking outside help to study with!
      Sounds like a great time to share my channel with your teacher for any other students who would benefit from some additional free after school math help...BAM!!!

  • @mothershiph
    @mothershiph 9 ปีที่แล้ว +3

    HI I am an SAT Tutor, and some of my students ask me trig or Pre-calc questions which I haven't done in a while.I wanted to brush up, I have found your videos to be excellent. You explain things extremely well, these are great supplement for any student. Your students are lucky to have you as a teacher. Cheers

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      I used to tutor for SAT's a long time ago. There are some unique questions on that test that I do not work on everyday. I had a student ask me some questions recently from her SAT book and I felt like you do/did with Precalc, I need some brushing up!!! I am glad you find my lessons helpful. I will be sure to tell my "live" students that you said they need to appreciate me more:D:D:D haha Thanks!

  • @mariasaenz3380
    @mariasaenz3380 9 ปีที่แล้ว +3

    Helped me so much... I think this is the only video that is +10min that I have watched with out wanting to take my eyeballs out. Made it easy and I love the different colors. Helps me see the different processes.

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Maria Saenz thanks for watching, liking, sharing the feedback and choosing my channel to study with!
      Please be sure to share your experience and my channel with all your friends, classmates and teachers as you remind them how important it is to like, subscribe, support the ads, share thru social medias and with everyone in order to help these free educational channels grow and remain free...BAM!!!
      Thanks:D

  • @jbraMoVal
    @jbraMoVal 9 ปีที่แล้ว +2

    professors should watch your videos as well so they can learn how to teach! I'm not doing bad in the class but I enjoy watching your videos because you make it simple to understand the subject. I like the fact that you show every step. thanks

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      +Joshua Isaias you're welcome and THANK YOU for taking the time to "thank the teacher", share your learning experience, for liking and subbing and supporting my channel! Feel free to share your experience and these videos with the math department at your school as a study supplement to their classroom lessons...BAM!!!

  • @profrobbob
    @profrobbob  10 ปีที่แล้ว +10

    My #math lesson for determining if a function is Even, Odd, or neither.

  • @thevegetableaddict4625
    @thevegetableaddict4625 10 ปีที่แล้ว +1

    Wow Rob we are actually doing this right now in pre-calculus not lying. You are amazing my man. 30 minute video takes up a lot of bandwidth but it's worth it.

    • @thevegetableaddict4625
      @thevegetableaddict4625 10 ปีที่แล้ว +1

      ***** I do realize that now, but you understand my point though? Lots of data being transferred. It's better than streaming a dumb reality show or similar. I'd rather get an A in my math course than keep up with the kardashians or see who the last comic standing is.

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว +4

      TheVegetableAddict LOL...this is a proud moment for #ProfRobBob !
      It's reassuring to hear that math is more important to some students than keeping up with the kardashians...NOW, if I could only get my subscriber count to be more important too I'd have that "M" I've been dreaming of:)

  • @mawi5211
    @mawi5211 8 ปีที่แล้ว +2

    For getting me through a week of Pre-Calc, I have subbed to you good sir!!

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว +1

      THANKS!!! ...and please keep sharing:D
      Here is a link to my websites list for Pre-Calc...you might find it easier to search:)
      www.profrobbob.com/pre-calculus

  • @georgesadler7830
    @georgesadler7830 2 ปีที่แล้ว

    Professor RobBob, thank you for a smooth explanation of Even and Odd Functions. In Algebra Two/Precalculus, students should have a pattern recognition of Even and Odd functions. As I continue to review different types of Mathematics/Electrical Engineering classes, the same functions continues to appear everywhere.

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว +2

    The best teacher in the world 🌍🌍🌍🌍🌍🌍🌍🌍🌍🌍

  • @profrobbob
    @profrobbob  9 ปีที่แล้ว +2

    More examples of Even and Odd Functions with Closed Captions.

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      ***** I agree that absolute value functions can pose a challenge. If f(x)=|2x-7| and you try to check for even or odd you will have f(-x)=|-2x-7| which will hopefully show that the function is not even. I have students who struggle with algebra think that absolute value function will simply change all the signs inside the function or make ALL the negatives positive. I really like sketching the absolute value functions when possible to check for even or odd....this should be especially easy for linear absolute value functions like this one.

    • @dylantravis190
      @dylantravis190 9 ปีที่แล้ว

      +ProfRobBob Do you have a video that shows how to solve a equation like this. f(x+c) f(x)=8x^3 +7x^2-5 I am having trouble figuring it out. The program they gave to help us with math doesn't make sense. It just goes from one thing to another without showing the individual steps. it just says this is the simplified version without explaining.

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      Hopefully the solutions are rational and this lesson can help. th-cam.com/video/hvjASm98Plk/w-d-xo.html

  • @ahmadnaser4442
    @ahmadnaser4442 9 ปีที่แล้ว +4

    I really want to thank you you are A GREAT TEACHER .please continue the great work......BAM!

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Ahmad Naser you're welcome and thanks for watching, learning and subbing!
      Please keep telling all your friends to watch and do the same:D

  • @manudasmd
    @manudasmd 3 ปีที่แล้ว +1

    im age 30 from biology background and came to realize that maths is encroaching the field at advanced level..Fortunately i was good in math at highschool and i have Prof RobBob here to brush my basics back..To computational neuroscience ...........

    • @profrobbob
      @profrobbob  3 ปีที่แล้ว +1

      I am always amazed by the comments I read on TH-cam. Math is a universal language and integral to so many fields of study. Sometimes I have never even heard the fields of study in which I am helping people achieve their goals! LOL Thank you for watching my math lessons and I am glad you are finding them helpful. I wish you great success in your career.

    • @aashsyed1277
      @aashsyed1277 3 ปีที่แล้ว

      @@profrobbob LOL 😂🤣🤣😆😂😜😆😂😆😂😜😆😂😜😆😂😆😆😂😆😂😆😂😆😂

  • @parnikakapur98
    @parnikakapur98 9 ปีที่แล้ว +2

    Thank you so much. This was great review before my Graphing Test for functions using derivatives.

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +Parnika Kapur you are always welcome...it's always nice to see your smiling face and know that I am still on your study list:)

  • @ondaverge18
    @ondaverge18 10 ปีที่แล้ว +1

    I have to thank Mr. G for introducing us to you ProfRobBob! Your videos really help me deepen my mathematical understanding. Good Job!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      John Vergil Eduarte welcome to the global classroom of #ProfRobBob !
      You are the first one to tag Mr. G in a comment. Thanks for taking the time to watch, comment and subscribe and please thank Mr. G again for us. My wife and I thoroughly enjoyed meeting all of you and look forward to sharing the school year with you all...BAM!!!

    • @ondaverge18
      @ondaverge18 10 ปีที่แล้ว +1

      BAM!

    • @ondaverge18
      @ondaverge18 10 ปีที่แล้ว +1

      Thanks ProfRobBob!

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      John Vergil Eduarte you're welcome...study hard for Mr. G and we'll see you in the classroom again I hope!

  • @gabrielrzaragoza
    @gabrielrzaragoza 8 ปีที่แล้ว +1

    Thank you ! Best explanation i seen on youtube. My teacher can't explain at all

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว +1

      +gabrielrzaragoza you're welcome, glad I could help!
      Thanks for watching and liking please take the time to subscribe and share with all your classmates too:D

  • @vandit1010
    @vandit1010 6 ปีที่แล้ว +1

    In example 3 if we move x inside the radical it will become sqr root (x^2-x^4). How is this an odd function?

  • @luandenseconqueringsuperno7322
    @luandenseconqueringsuperno7322 8 ปีที่แล้ว +3

    Best on TH-cam. Thanks so much.

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว +1

      +jose Koshi BAM!!!
      Thanks for choosing my channel to learn from and sub to!
      Please tell everyone to watch and do the same:D

  • @WorstLuck
    @WorstLuck 9 ปีที่แล้ว +5

    you the real MVP my good sir

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      Worst Luck RS thank you!

    • @GamerHD9989
      @GamerHD9989 6 ปีที่แล้ว

      Runescape!

  • @gloriaalvarez6877
    @gloriaalvarez6877 9 ปีที่แล้ว +1

    Wow am not in pre-calc but am in Algebra II and we're learning this and this actually helped me a lot thank you 😃

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      You're welcome Gloria Alvarez !
      Thanks for watching and please like, subscribe and share with everyone:D

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว +1

    YOU DESERVE MORE SUBSCRIBERS THAN HOW YOU ARE GROWING

    • @profrobbob
      @profrobbob  3 ปีที่แล้ว

      We do all we can but I guess you need to do something silly to get millions of
      subscribers :(

    • @aashsyed1277
      @aashsyed1277 3 ปีที่แล้ว

      @@profrobbob ok. maybe try to invent a new(easier ) method to do what you are teaching keep it up :)

    • @aashsyed1277
      @aashsyed1277 3 ปีที่แล้ว

      @@profrobbob OK. THANKS I WILL TRY TO :)

    • @aashsyed1277
      @aashsyed1277 3 ปีที่แล้ว

      @@profrobbob BY THE WAY, I THINK YOU SHOULD WRITE ON A WHITEBOARD CAUSE I THINK PEOPLE WILL LIKE IT MORE :)
      BECAUSE IT'S MORE ADVANCED TECHNOLOGY THAN JUST A SIMPLE CHALK BOARD.
      ANYWAY, I STILL SUPPORT YOUR CHANNEL CAUSE NOW YOUR CHALK IS MORE FLUENT :)

    • @profrobbob
      @profrobbob  3 ปีที่แล้ว

      @@aashsyed1277 also, chalk is less expensive than white board markers and chalk leaves nothing to add to the landfill!
      I'll ALWAYS love my chalkboard but I also enjoy teaching at school on my whiteboard and overhead...and currently on my iPad :)

  • @Nicro328
    @Nicro328 7 ปีที่แล้ว +3

    Your handwriting is so neat that it's uncanny. Regardless, thank you for the lesson!

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      You're welcome and Thanks for watching...please sub and share too:D

    • @habeebaelwalily3081
      @habeebaelwalily3081 4 ปีที่แล้ว

      He also has a penmanship series if you want to check that out.

  • @aashsyed1277
    @aashsyed1277 3 ปีที่แล้ว

    I want you to make a q n a video on 200 k subscribers! My question is that who inspired you to creat this TH-cam channel?

  • @annathomsen2266
    @annathomsen2266 8 ปีที่แล้ว +1

    Hi Mr. Tarrou, this isn't exactly related to the video but I'm trying to figure out what I should be searching to understand this certain math problem I'm working on. I'm taking my College Algebra class online and I've been referring to your videos to help me understand these certain principles, but I'm stuck again.
    This problem I've been having difficulties is this:
    "Decide which of the polynomial functions in the list might have the graph below. ​ (More than one answer may be​ possible.)"
    This problem then gives me a graph of a function that I am supposed to determine if it is even or odd (I believe it's odd if the right side of the function is above the x-axis and then the left side is below, is that correct?), what the degree is (is this how many times it crosses the x-axis? And then, how would this "degree" help me with the function? Would this be the amount of variables, or sets, that are in the function?), and then how would I know if the leading coefficient is positive or negative? Then I am to determine whether each "multiplicity of zero is even or odd" (I don't understand how to find the multiplicity from a graph, and how to determine if it's even or odd. In the function, wouldn't this be the exponent and the value of the exponent being an even or odd number?) and then find the functions that match up to my answers.
    I came here and watched this video thinking it would explain the evens and odds part of my function; you didn't explain this problem, but it helped me understand other problems I've been having.
    Do you have a video that explains this? If not, could you explain this to me? If you can't, what are these types of problems called so I can try to search for a website that will show how to solve this?
    Thank you! :)

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      It sounds like you need to watch these lessons on graphing higher order polynomials, vids 3 and 4 in this list www.profrobbob.com/pre-calculus/graphing-polynomials

    • @annathomsen2266
      @annathomsen2266 8 ปีที่แล้ว

      I will look them up! Thank you!

  • @IsaacSubrahmanyam
    @IsaacSubrahmanyam 6 ปีที่แล้ว +1

    Thank you so much!!!!!!!!!!!!!!!!!!!!

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      You are sooooo welcome!
      Please sub and share:D

  • @juliechandler1443
    @juliechandler1443 8 ปีที่แล้ว

    When I graph example at 22:47 on my calculator it LOOKS symmetrical to y-axis. Should it be EVEN?

  • @zobekguerrero1366
    @zobekguerrero1366 7 ปีที่แล้ว +1

    Omg, my dad had that same shirt! Can't believe it took me 5 minutes into the video to notice. Now it will be hard to concentrate on what I need to learn for the rest of the videoxd I swear only cool people wear that shirt.

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      That's funny...thanks for studying and subbing and please tell your dad he has a pretty cool son too...BAM!!!

  • @bcoll1082
    @bcoll1082 7 ปีที่แล้ว +1

    Excellent!

  • @jcthone
    @jcthone 9 ปีที่แล้ว +1

    Thanks love the videos

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      You're welcome jeremy thone and thanks for watching, learning and liking!
      Please spread the word:D

  • @samiali8318
    @samiali8318 6 ปีที่แล้ว

    Is it safe to say that “odd functions are symmetric to the line y=x”? Or is that not necessarily always the case.
    Thank you

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว +1

      Odd functions are symmetric to the origin, meaning you can rotate the graph 180 degree about the origin and see the same graph. Symmetric to the line y=x is a reflection about that line. While at times it may seem like this is a symmetry, it will not hold for most graphs.

    • @samiali8318
      @samiali8318 6 ปีที่แล้ว +1

      ProfRobBob got you. Thank you once again.

    • @profrobbob
      @profrobbob  6 ปีที่แล้ว

      You're welcome!

  • @jasomeli
    @jasomeli 7 ปีที่แล้ว

    I have a question, on odd functions example #3. You have an odd exponent, and an exponent of 2. Wouldn't this function be neither? X^1 and inside the square root X^2? Just curious.....

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว +1

      When you are only working with polynomials it is easy to fall into the idea that odd functions have odd exponents and even functions have even exponents... or something like that. That is why I made this lesson with more complicated examples. You must analyze the relationship between the input and output values, not the exponents.

    • @jasomeli
      @jasomeli 7 ปีที่แล้ว +1

      Thank you, I was unaware that the "rule" only applied with polynomials

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      You're welcome...thanks for studying and subbing...please tell everyone to watch and do the same:D

  • @violettofan5828
    @violettofan5828 7 ปีที่แล้ว +1

    Give cursive lessons too... handwriting is beautiful!

    • @profrobbob
      @profrobbob  7 ปีที่แล้ว

      I do have a few cursive lessons when you need a break from math:)
      Please sub and share this free resource with everyone, especially your teachers...BAM!!!

  • @amjaamjad1371
    @amjaamjad1371 8 ปีที่แล้ว +1

    think you شكرا لك

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว

      +Amja Amjad you're welcome, thanks for watching!

  • @abeerah6040
    @abeerah6040 8 ปีที่แล้ว +1

    many thanks :)

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว +1

      +Abeer AH you're welcome and THANKS for learning and subbing too!

  • @somalitsunami
    @somalitsunami 9 ปีที่แล้ว +4

    Mr.Tarrou is a savage

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      Mrelegant7 BAM!!!Please help spread the word by liking, subbing and spreading the word:D

    • @INBEAUTYZOOM
      @INBEAUTYZOOM 6 ปีที่แล้ว

      I have told about you in my college to my calc class and posted you on Facebook ..you r amazing..thanks for being an incredible teacher!

  • @zanydivine7374
    @zanydivine7374 10 ปีที่แล้ว +1

    thank you :)

    • @profrobbob
      @profrobbob  10 ปีที่แล้ว

      You're welcome!

  • @oahola237
    @oahola237 2 ปีที่แล้ว

    I got fooled by the 5 and - 5 with the absolute value fxn. Burned.

  • @brdnlng
    @brdnlng 6 ปีที่แล้ว

    Is there a reason they're called 'even' and 'odd?'

    • @brdnlng
      @brdnlng 6 ปีที่แล้ว

      I assume it is because formulas with even exponents represent even functions, and similarly with odd functions.

  • @hectorvillasano
    @hectorvillasano 8 ปีที่แล้ว +1

    yes!

    • @profrobbob
      @profrobbob  8 ปีที่แล้ว +1

      +hector villasano or BAM!!!
      lol:)

  • @ihateeeeeyou
    @ihateeeeeyou 9 ปีที่แล้ว +1

    Where's muh orange chalk at

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว +1

      Gotta keep it colorful jaclyn :)
      Thanks for watching and liking...don't forget to subbing spread the word:D

  • @March90skid
    @March90skid 5 ปีที่แล้ว +1

    I like your shirt lol

    • @profrobbob
      @profrobbob  5 ปีที่แล้ว

      Thanks and thanks for watching!

  • @GeorgeElliasVideos
    @GeorgeElliasVideos 9 ปีที่แล้ว

    yip dis kivers it

    • @profrobbob
      @profrobbob  9 ปีที่แล้ว

      +GeorgeElliasVideos ?!

  • @RetroGamingClashOfClans
    @RetroGamingClashOfClans 5 ปีที่แล้ว +1

    baYm

    • @profrobbob
      @profrobbob  5 ปีที่แล้ว

      ...sounds like you got it!!!
      Please sub and share to help us keep growing:D