tanker_girl777: How do you know when a set of coordinates are a function... for example
{ (6,3), (5,2), (2,-3), (12,-12) }
also how would you map the relations of these coordinates?
(algebra 2 >.> I get messed up on the easy stuff)
In this set of points, every x value has a distinct y value, therefore it is a function.
If this point (8,3) was added it would still be a function
If (5,-4) were added it wouldn't be a function because the domain value of x=5 has 2 answers it could be 2 or it could be -4. do you want 2 or do you want -4, Total confusion. not a function.
when you are told to map the relations of these coordinates, you are just being asked to plot the points. That's all!
If you have a graph or a set of points mapped onto an xy plane, you can use the vertical line test to see if it is a function. (A vertical line goes straight up and down - not sideways)
You draw a vertical line anywhere at all on the number plane. If it only ever goes through 0 or 1 point on the graph then it is a function. If it EVER cuts the graph in 2 or more places then it is not a function, it will be a relation.
I hope that helps