Is this graph an element?

https://gyazo.com/c246527dc885ed8806b44fe7a84a8d1b

Question

Is this graph an element? 

https://gyazo.com/c246527dc885ed8806b44fe7a84a8d1b

sloppycanada · Answer

I know this is, but I'm not sure about the graph I posted above. https://gyazo.com/a34cdd8ec6f6b49f7e82aa5494c9f6e9

unklerhaukus · Answer

looks like a function to me

jim_thompson5910 · Answer

it's not a function because it fails the vertical line test

jim_thompson5910 · Answer

|dw:1442812650966:dw|

jim_thompson5910 · Answer

|dw:1442812661206:dw|

jim_thompson5910 · Answer

it's possible to pass a vertical line through more than one point

|dw:1442812678494:dw|

which is why it fails the vertical line test

sloppycanada · Answer

Is it a relation?

mertsj · Answer

A relation is a set of ordered pairs.

mertsj · Answer

The parabola you posted is a function.

sloppycanada · Answer

But the vertical line test?

jim_thompson5910 · Answer

as Mertsj said, `A relation is a set of ordered pairs.`

so basically, a relation is anything with a bunch of points on an xy grid. In the case of the circle, it's a bunch of points plotted to form a circle. So yes @sloppycanada the circle graph is a relation

sloppycanada · Answer

Does that make this https://gyazo.com/a34cdd8ec6f6b49f7e82aa5494c9f6e9 also a function?

jim_thompson5910 · Answer

that's a function because it is impossible to pass a vertical line through more than one point on the parabola

So it passes the vertical line test