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

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

Рет қаралды 117,099

6 жыл бұрын

If we are given a table of functions, how do we determine if the functions are linear, quadratic, or exponential?
Edit - When going through the examples in this video, you'll hear me using the phrases "Change in y" or "Change in change of y (I also say change of y is delta y)". The terms you'll probably see in class are usually "First difference" and "Second difference." I wanted to write that as I don't think any teachers use "change in the change" unless they're explaining what "second difference" means. Maybe your teacher uses a different phrase (please post below, that'd be helpful for others!) but I wanted to update this with what you'll most likely see in class so you're not like "what in the world is change in change my teacher's never used that?!" 😂 Hope that helps! 🙌

Пікірлер: 63

@Ren_6R 3 жыл бұрын

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

@TopTierMath 3 жыл бұрын

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

@user-pw9cm3vz7g 3 жыл бұрын

Same-

@bellebijoureinemere 6 жыл бұрын

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

@lykajhoevell 3 жыл бұрын

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

@TopTierMath 3 жыл бұрын

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

@donnamaelorilla207 3 жыл бұрын

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 3 жыл бұрын

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

@lilkhush2416 3 жыл бұрын

You are very underrated you deserve more subs

@TopTierMath 3 жыл бұрын

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

@JayJay-xv3lp 3 жыл бұрын

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

@TopTierMath 3 жыл бұрын

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

@nyr4lif428 3 ай бұрын

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

@TopTierMath 3 ай бұрын

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

@nuttygamer4337 3 жыл бұрын

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

@TopTierMath 3 жыл бұрын

Thank you, I really appreciate that!

@evolveag 3 жыл бұрын

Beautiful Explanation Keep it up!

@kingofmacaroni4049 2 ай бұрын

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

@James12030 2 жыл бұрын

you deserve so much more you are helping so many peoplle

@TopTierMath 2 жыл бұрын

Thank you so much, that means a lot!

@ThePiMan0903 Жыл бұрын

Very nice video sir! You deserve more subs!

@jackbalfour8659 3 жыл бұрын

Thank you

@TopTierMath 3 жыл бұрын

You're very welcome!!

@dianag7995 Жыл бұрын

so is the second ttable a quadratic?

@TopTierMath Жыл бұрын

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 😅)

@ianhaughey747 Жыл бұрын

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

@TopTierMath Жыл бұрын

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

@l_hat3951 3 жыл бұрын

ty! was clear and helpful

@TopTierMath 2 жыл бұрын

I’m glad it helped! 🙌🏼

@kierawilson6018 Жыл бұрын

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 Жыл бұрын

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

@rbaa8379 6 жыл бұрын

Thank you for the upload

@justinm412 6 жыл бұрын

I hope it helped!

@supernovic99 9 ай бұрын

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

@jonny3348 Жыл бұрын

thank you I found this video very helpful

@TopTierMath Жыл бұрын

Awesome, I'm glad it was helpful! 🙌

@mianmasharratmurshed8790 2 жыл бұрын

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 2 жыл бұрын

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!

@dyllianpecunia2009 Жыл бұрын

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

@TopTierMath Жыл бұрын

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!