Determining if a Function is Linear, Quadratic, or Exponential from a Table

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  • Опубліковано 18 січ 2025

КОМЕНТАРІ • 76

  • @Ren_6R
    @Ren_6R 4 роки тому +113

    I regret sleeping in classes, thank you for uploading this video

  • @bellebijoureinemere
    @bellebijoureinemere 7 років тому +40

    👌🏾👌🏾👌🏾👌🏾 clearly and easily explained. Thank you instructor 🙌

  • @lykajhoevell
    @lykajhoevell 4 роки тому +13

    I WATCHED ALOT OF VIDEOS ABOUT THIS TOPIC BUT YOU'RE THE ONLY ONE WHO EXPLAINED IT WELL!!!!👏🏻👏🏻

    • @TopTierMath
      @TopTierMath  4 роки тому +4

      That means a lot, and I'm so glad it helped!

  • @ellakitty4458
    @ellakitty4458 4 місяці тому +4

    I watched this with my praying mantis on my phone. He liked the mouse moving around, and I liked how I got ahead on my course overview

  • @nyr4lif428
    @nyr4lif428 9 місяців тому +3

    This is so useful, even 6 years later!! Thank you so much, I rarely leave comments but you’re such a great teacher!! 🌟🙌

    • @TopTierMath
      @TopTierMath  8 місяців тому

      That's awesome to hear and it means a lot! (sheesh 6 years flies by, probably time to redo that video 😅)

  • @donnamaelorilla207
    @donnamaelorilla207 3 роки тому +16

    The lesson in the modules I received was not clear enough to understand so I don't understand the lesson and other videos on youtube about this lesson are not that clear until I cross into this video lesson, it is easily and clearly explained. There are also laughs along with the lesson which is I like. It really helps me a lot, thank you very much❤️❤️

    • @TopTierMath
      @TopTierMath  3 роки тому +1

      I'm so glad it was helpful, you're very welcome!

  • @AHMEDAHMED-v9l4h
    @AHMEDAHMED-v9l4h Місяць тому +1

    If the points are not consecutive how can we determine if it quadratic or not

    • @justinm412
      @justinm412 Місяць тому

      Have you come across a problem like that? Usually they're consecutive, but you could work backward if you were able to determine what the potential second difference is from a set of points where x is consecutive. However, I've never seen that in an Algebra course.

  • @lilkhush2416
    @lilkhush2416 3 роки тому +9

    You are very underrated you deserve more subs

    • @TopTierMath
      @TopTierMath  3 роки тому

      I appreciate that, I'm going to keep putting out videos that hopefully help others 🙌

  • @FatimFatima-yt4ld
    @FatimFatima-yt4ld 2 місяці тому +1

    Thanks bro, God bless!!

  • @kolmst
    @kolmst 3 місяці тому +1

    Where is your “why” video you talk about in this video?

    • @justinm412
      @justinm412 Місяць тому

      I haven't created that because the "why" behind why the second difference method works for quadratics is based in Calculus, so not too helpful for Algebra. For this course, if you're comfortable with the "how" that's the important part 😊

  • @nuttygamer4337
    @nuttygamer4337 4 роки тому +4

    I really mean it and not saying it because other people are, but you deserve way more subscribers. Crystal clear explanation 💎

    • @TopTierMath
      @TopTierMath  3 роки тому

      Thank you, I really appreciate that!

  • @JayJay-xv3lp
    @JayJay-xv3lp 4 роки тому +15

    OMG THANK YOU. Now I won’t fail math 👍

    • @TopTierMath
      @TopTierMath  4 роки тому

      You’re very welcome, I’m glad it helped!

  • @James12030
    @James12030 3 роки тому +2

    you deserve so much more you are helping so many peoplle

    • @TopTierMath
      @TopTierMath  3 роки тому

      Thank you so much, that means a lot!

  • @dianag7995
    @dianag7995 Рік тому +1

    so is the second ttable a quadratic?

    • @TopTierMath
      @TopTierMath  Рік тому

      Sorry for the late response, but why do you think it's quadratic? (Answering a question with a question, sorry it's the inner tutor in me 😅)

  • @evolveag
    @evolveag 3 роки тому +5

    Beautiful Explanation Keep it up!

  • @kingofmacaroni4049
    @kingofmacaroni4049 7 місяців тому +1

    Thank you so much, saw my exam review sheet and needed to learn this

  • @ianhaughey747
    @ianhaughey747 Рік тому +1

    Thank you i missed the day that we learned this and now we have a test thank you 🙏

    • @TopTierMath
      @TopTierMath  Рік тому

      You’re very welcome, I’m glad it helped! 🙌🏼

  • @snailsrslow625
    @snailsrslow625 4 місяці тому +1

    I am really confused. my teacher isn't explaining it well but I understand that 2 is the second difference, but how do i make an equation out of that? we are using the exact same equation where my tables looks like this:
    why is my teacher using n and a_n on one and x and f(x) on the other? does that mean table 2 is linear?
    n a_n
    6 36 first change is +13, second change is +2
    7 49 first change is +15, second change is +2
    8 64 first change is +17, second change is +2
    9 81 first change is +19, second change is +2
    10 100
    x f(x)
    -2 9 first change is -3, second change is +2
    -1 6 first change is -1, second change is +2
    0 5 first change is +1, second change is +2
    1 6 first change is +3, second change is +2
    2 9
    the directions: for each table identify the type of pattern shown, what the pattern s and write the explicit equation for any arithmetic or geometric sequences using a_1 or f(0) as a_0

    • @TopTierMath
      @TopTierMath  3 місяці тому

      @@snailsrslow625 so your teacher is just using n/a_n and x/f(x) to basically represent the same ideas, inputs and outputs.
      n is the position (or input) of a sequence that corresponds to a specific value, a_n.
      So in your first table, when n is 6, a_n is 36. So think of that as “the 6th value of the sequence is 36” or in function terms, “when the input is 6, the output is 36.”
      From what I see, neither of those tables is linear, they are both quadratic. Have you gone over quadratics in class? I ask because arithmetic sequences are for linear equations while geometric sequences are for exponential equations.

  • @mirandaflores7095
    @mirandaflores7095 Місяць тому

    I have finals tdy ur a life saver

  • @SteveSong756891
    @SteveSong756891 10 місяців тому +1

    THANKS FOR THE VIDEO! I understanded well!

  • @ThePiMan0903
    @ThePiMan0903 2 роки тому +1

    Very nice video sir! You deserve more subs!

  • @l_hat3951
    @l_hat3951 3 роки тому +4

    ty! was clear and helpful

    • @TopTierMath
      @TopTierMath  3 роки тому

      I’m glad it helped! 🙌🏼

  • @supernovic99
    @supernovic99 Рік тому

    This video was literally so useful!!!!! Thank you so much!!!

  • @mianmasharratmurshed8790
    @mianmasharratmurshed8790 2 роки тому +1

    what happens if there are negative values and the differences become negative do i take the negative into account or do i just state the difference without adding a negative?

    • @TopTierMath
      @TopTierMath  2 роки тому +1

      Great question! If the differences are negative, make sure to keep them negative. If you make them positive, (which seems reasonable, right?) it'll change the whole problem you're working on (and give you the wrong answer) because we need to see what the pattern is for the first and/or second difference and changing a negative to a positive will alter the pattern you get. I hope that helps!

  • @kierawilson6018
    @kierawilson6018 2 роки тому +3

    change in the change in the change xD. This video was really helpful and funny thanks. People are right this is a lot more clearer. 😁

    • @justinm412
      @justinm412 2 роки тому +1

      😂 It feels like it never ends. I’m so glad it was helpful, thank you!

  • @cherrycola324
    @cherrycola324 2 роки тому +1

    You have a very soothing voice

    • @TopTierMath
      @TopTierMath  2 роки тому +1

      Aww thank you, my goal is to not put people to sleep 😅

  • @jonny3348
    @jonny3348 Рік тому +1

    thank you I found this video very helpful

    • @TopTierMath
      @TopTierMath  Рік тому

      Awesome, I'm glad it was helpful! 🙌

  • @slowlycold4356
    @slowlycold4356 2 роки тому +1

    TYYYYYY i have a quiz tmrw and i coudnt understand but now i do tysm

    • @TopTierMath
      @TopTierMath  2 роки тому +1

      I hope you did well and you’re very welcome!

    • @slowlycold4356
      @slowlycold4356 2 роки тому

      @@TopTierMath Yes yes I DID

  • @dyllianpecunia2009
    @dyllianpecunia2009 2 роки тому +1

    i don't get the second problem how is it linear

    • @TopTierMath
      @TopTierMath  2 роки тому

      Hey Dyllian! I'm so sorry for the uber late response, but in case you were still wondering here's why:
      Linear just means a constant rate of change. So when we're dealing with coordinates like these problems, the following must be true if it's linear:
      Pick any two coordinates aka (x,y) points and find the change in y divided by change in x (that's where y2-y1/x2-x1 comes from). You'll get some fraction. You should get that same exact fraction (you may need to simplify) for ANY two coordinates that you pick and do the same to (change in y divided by change in x).
      If you get a different value for even one pair (again, remember to simplify the fraction if needed), then that set of coordinate points does not represent a linear function. Because we got the same fraction for all pairs of coordinates on problem 2, that represents a linear function. Let me know if that helps!

  • @rbaa8379
    @rbaa8379 7 років тому +5

    Thank you for the upload

  • @poles1c
    @poles1c 10 місяців тому

    this was extremely helpful, thank you so much!

    • @TopTierMath
      @TopTierMath  9 місяців тому

      I'm so glad it was helpful, you're very welcome!

  • @jackbalfour8659
    @jackbalfour8659 3 роки тому +5

    Thank you

  • @thesaberoflightarchived
    @thesaberoflightarchived Рік тому

    Thank you, simply thank you

  • @luzd4515
    @luzd4515 4 місяці тому

    So the first one is expo then linear then quad? 😭

  • @Noobbshyuga
    @Noobbshyuga 4 роки тому +2

    thanks

    • @TopTierMath
      @TopTierMath  4 роки тому

      You're very welcome, I hope it helped!

  • @tartagliaehe6852
    @tartagliaehe6852 3 місяці тому +1

    why do u sound fine

  • @myz1c835
    @myz1c835 4 місяці тому

    your voice is gorgeous

  • @melatmekbib7592
    @melatmekbib7592 4 роки тому

    1.exponential

  • @nezhaerickagacus2780
    @nezhaerickagacus2780 4 роки тому +2

    Thank uu

    • @TopTierMath
      @TopTierMath  4 роки тому

      You're very welcome, I hope it helped!

  • @Warpwavestudios1
    @Warpwavestudios1 Рік тому

    😢

  • @VTCover
    @VTCover 2 роки тому

    I’m sorry. But linear is the first difference so which means the 2nd problem was wrong

    • @TopTierMath
      @TopTierMath  2 роки тому

      In the second problem, we did use the first difference 🤙🏼

  • @yourtypicalloser404
    @yourtypicalloser404 2 роки тому +1

    thank you so much it really helped your explanation is so good!!🤍🤍