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In a function, x values will never repeat.
There will only be one output for each input.
All the coords look like they are on both x and y axis'
The only one I can sort of see correct is B...
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.
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.
It can't be slanted, either?
Just vertical lines. Look at each graph and see if two points are on the same vertical line, which means they share x values.
I don't really see any other vertical lines. Just slanted ones now. But at least we ruled out B.
I don't think you understand. Look at the points.|dw:1449891083046:dw|
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
And the second red line as well (2, 0) (2, -2) they share an x value of 2 functions will not repeat x values
dont draw slanted lines, only draw vertical lines
vertical lines = x values
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.
Any vertical lines means its not a function. They don't repeat x values so vertical lines automatically rule out.
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.
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|
Remember what I said: Functions NEVER repeat x values, which is why vertical lines are so important to understand
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.
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.
which is why this is so important to look at |dw:1449891856270:dw|
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.
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
Ok, got it.
So, basically we need to find x=-2 stuff...
x = anything anything that shares x value makes it so that its not a function its no that hard to understand
Maybe I'm just thinking about it too hardly. Give me a minute.
yeah its pretty simple dont complicate urself
sorry if i come off a bit grumpy, its 11 pm over here xD
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.
Those are the ones we ruled out because there are points that >>share x-values<<
Okay, then I rule out D too.
do you see any poitns on d that share x values
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
Okay, well I think it's D now. :3
just to make sure, why did you choose that one?
it is d but i just wanna make sure u understand the point kinda
this is what i was trying to explain |dw:1449893004842:dw|
the last thing says: not able to make vertical line; it is a function!
I get it now. :) Thank you so much! Also, thanks for not giving up on me/leaving me out of the blue.
haha np, im gonna go to bed now my eyes hurt :D
Okay, get a lot of rest. :)
No problem. ;}