Graph Piecewise Functions | Find the Domain & Range | Eat Pi
Вставка
- Опубліковано 7 лис 2022
- In this video, I teach you how to graph a piecewise functions, explain when to use open or closed circles, and how to find the domain and range.
If you have any questions, please leave them in the comment section below! Also, if you find the videos helpful, please like, share, and subscribe!
this is the only video that made me understand piecewise function, tysm!!
I'm so glad to hear it made sense! And you're welcome 😃
This video helped me solve my problem. Thank you! ❤
That's great to hear, and you're welcome! :D
This is a masterpiece
I appreciate that 🙏
This was great! Helped me relearn functions to help my kid out with her math homework.
That's awesome, I'm so glad to hear that! 😃
Thank you so so much. All the videos from my usual sources only used function rules like this examples middle one. I had no idea what I was doing for ones like x
You're welcome! I try to mix up as many examples as possible, but if there's ever something specific you're looking for, just let me know and I can answer you here in the comment section or even make a video for it 👍
my math final is tomorrow so this helped
Samee😊
Hiii, just wondering what the interval notation for the question is, thank u!
Great question! I should've written it down lol
Domain: (-∞,∞)
Range: (-∞,2]
Can I please get an example of determining if a piecewise relation is a function, please 🙏
Nice one 👍👍
I appreciate that, thank you! 😃
Great one👌!
Thank you, I'm glad it was helpful!
thank you so much!!!
You're welcome, I'm glad it was helpful! And go crush that final like a friggin genius 😎
Thank you 🌻
You're very welcome! 😃
Thank you❤❤❤❤❤
You're welcome 💙💙💙💙💙
What if we don't have two lines that go on forever (in this case) but only one line, what would be the domain in that case?
Good question! It would depend on which direction the line is going. I can give you a better answer if you tell me your specific problem 👍
Watched this video four days ago but I struggle with when to write the range as single and when to write them separately for each function do they have to share a point in each x and y axis together in order to write it as a single range?
Great question! Piecewise functions will always share x coordinates because where one function ends, the next one begins. I'm not sure you have to write the range for each function (unless you're specifically asked to). Generally, writing a single range that covers the whole graph should be good enough 👍
@@Eat_Pi ohh thanks, but sorry I forgot to mention by saying ( writing each range separately) I meant when you use the union method to just combine the ranges that u separately wrote for each function, like I have seen questions they do that and they sometimes write the range as a single one like the one u did in the video for both ( not combining the ranges of each function with the union thingy) so I’m kinda confused on when to use each one.
@@sunflowerflower2796 Oh I see! Well if there's a gap in the range then you should definitely split them up, but if all the functions are connected/overlap (like they do the example I covered in this video) then you should be able to write just a single range for the whole thing.
It'd be a good idea to ask your teacher too if they have a preference, but if they don't, then that's how I would determine if I need to write more than 1 range: simply if there's a gap.
Hope that clears it up a little! 👍
@@Eat_Pi thank you so much really appreciate it 🌻
Why is it less than for the range
Good question! It's because the biggest y-value is positive 2 and the rest of the y-values are beneath that high point. So all the y-values are smaller than 2, or in other words, *less than* 2 👍
@@Eat_Pi thx
@@Bamjammers-gl9gi happy to help!
The range of the function would be like -(1/0), 3 am I right?
The range is the limit of the y values, so on this graph we have y-values from positive 2, down to negative infinity. You could write that as:
y ≤ 2
or
[2, -∞)
Both would be valid answers 👍