gabbyalicorn
  • gabbyalicorn
Determine which relation is a function.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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gabbyalicorn
  • gabbyalicorn
♪Chibiterasu
  • ♪Chibiterasu
In a function, x values will never repeat.
♪Chibiterasu
  • ♪Chibiterasu
There will only be one output for each input.

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gabbyalicorn
  • gabbyalicorn
All the coords look like they are on both x and y axis'
gabbyalicorn
  • gabbyalicorn
The only one I can sort of see correct is B...
♪Chibiterasu
  • ♪Chibiterasu
It's not x-intercept it's just general x value. The wrong ones have points on the same x value. For isntance, in B, two points share the x value of positive 2.
♪Chibiterasu
  • ♪Chibiterasu
|dw:1449890861658:dw|
gabbyalicorn
  • gabbyalicorn
Hmm, okay.
♪Chibiterasu
  • ♪Chibiterasu
That's the key, if you see a vertical line like that with two points, it has more than one x value making it not a function.
gabbyalicorn
  • gabbyalicorn
It can't be slanted, either?
♪Chibiterasu
  • ♪Chibiterasu
Just vertical lines. Look at each graph and see if two points are on the same vertical line, which means they share x values.
gabbyalicorn
  • gabbyalicorn
I don't really see any other vertical lines. Just slanted ones now. But at least we ruled out B.
♪Chibiterasu
  • ♪Chibiterasu
I don't think you understand. Look at the points.|dw:1449891083046:dw|
♪Chibiterasu
  • ♪Chibiterasu
Take the first line. I drew a red line through them because they form a vertical line. If you type out the coordinates it makes sense (-2, 1) (-2, -2) They share an x of -2
♪Chibiterasu
  • ♪Chibiterasu
And the second red line as well (2, 0) (2, -2) they share an x value of 2 functions will not repeat x values
gabbyalicorn
  • gabbyalicorn
Well, I'm still not sure about this. But maybe this could help you to help me. This is how I look at the options.
♪Chibiterasu
  • ♪Chibiterasu
dont draw slanted lines, only draw vertical lines
♪Chibiterasu
  • ♪Chibiterasu
vertical lines = x values
gabbyalicorn
  • gabbyalicorn
The only vertical line I see are for B and C. The only difference between the both of them is that B has two vertical lines and C has one. Although, I am now realizing that C could be the answer that matches what you told me.
♪Chibiterasu
  • ♪Chibiterasu
Any vertical lines means its not a function. They don't repeat x values so vertical lines automatically rule out.
gabbyalicorn
  • gabbyalicorn
Oh. ._. I see. So now that leaves us with just A and D. A seems like a reasonable answer because they are showing two slanted lines.
♪Chibiterasu
  • ♪Chibiterasu
Slanted lines dont amtter. Only verticals. We are focusing purely on verticals. Let me explain it: x = 2 This expression means ALL VALUES with a value of x. This make a vertical line on the x-axis on 2. The line has all values that have 2 as their x-coordinate.|dw:1449891697274:dw|
♪Chibiterasu
  • ♪Chibiterasu
Remember what I said: Functions NEVER repeat x values, which is why vertical lines are so important to understand
gabbyalicorn
  • gabbyalicorn
But I thought we were ruling out vertical lines. "Any vertical lines means its not a function. They don't repeat x values so vertical lines automatically rule out." I must have interpreted this wrong, then.
♪Chibiterasu
  • ♪Chibiterasu
Exactly. Any poitns on the vertical line means it has that x-value. If there is a vertical line which contains MORE THAN 1 POINT it means its not a function.
♪Chibiterasu
  • ♪Chibiterasu
which is why this is so important to look at |dw:1449891856270:dw|
gabbyalicorn
  • gabbyalicorn
But we were only ruling out the vertical lines. That's why I thought A was a good option, because on option A, they were only slanted/diagonal lines.
♪Chibiterasu
  • ♪Chibiterasu
Ok listen, the slanted lines literally mean nothing and are not important. Look at each graph. Points that lie on the same x value (vertical) make it not a function
gabbyalicorn
  • gabbyalicorn
Ok, got it.
♪Chibiterasu
  • ♪Chibiterasu
|dw:1449892120656:dw|
gabbyalicorn
  • gabbyalicorn
So, basically we need to find x=-2 stuff...
♪Chibiterasu
  • ♪Chibiterasu
x = anything anything that shares x value makes it so that its not a function its no that hard to understand
gabbyalicorn
  • gabbyalicorn
Maybe I'm just thinking about it too hardly. Give me a minute.
♪Chibiterasu
  • ♪Chibiterasu
yeah its pretty simple dont complicate urself
♪Chibiterasu
  • ♪Chibiterasu
sorry if i come off a bit grumpy, its 11 pm over here xD
gabbyalicorn
  • gabbyalicorn
Oh, okay...I totally understand. It's 7:51PM over here. Sorry if I'm taking a long time to understand it. Then I'd narrow my options down to B and C.
♪Chibiterasu
  • ♪Chibiterasu
Those are the ones we ruled out because there are points that >>share x-values<<
gabbyalicorn
  • gabbyalicorn
Okay, then I rule out D too.
♪Chibiterasu
  • ♪Chibiterasu
woops, caps
♪Chibiterasu
  • ♪Chibiterasu
do you see any poitns on d that share x values
gabbyalicorn
  • gabbyalicorn
kind of....
♪Chibiterasu
  • ♪Chibiterasu
|dw:1449892479156:dw|
♪Chibiterasu
  • ♪Chibiterasu
Ok let me try something look at every point on graph a and then go down the line on that point. if it meets with any other points, its not a function cuz theres more than 1 point on the same x value
gabbyalicorn
  • gabbyalicorn
Okay, well I think it's D now. :3
♪Chibiterasu
  • ♪Chibiterasu
yeah LOL
♪Chibiterasu
  • ♪Chibiterasu
just to make sure, why did you choose that one?
♪Chibiterasu
  • ♪Chibiterasu
it is d but i just wanna make sure u understand the point kinda
gabbyalicorn
  • gabbyalicorn
I chose that one because non of the points were on the same point. Here's my work.
♪Chibiterasu
  • ♪Chibiterasu
this is what i was trying to explain |dw:1449893004842:dw|
♪Chibiterasu
  • ♪Chibiterasu
the last thing says: not able to make vertical line; it is a function!
gabbyalicorn
  • gabbyalicorn
I get it now. :) Thank you so much! Also, thanks for not giving up on me/leaving me out of the blue.
♪Chibiterasu
  • ♪Chibiterasu
haha np, im gonna go to bed now my eyes hurt :D
gabbyalicorn
  • gabbyalicorn
Okay, get a lot of rest. :)
♪Chibiterasu
  • ♪Chibiterasu
thanks xD
gabbyalicorn
  • gabbyalicorn
No problem. ;}

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