SOLUTION: Is { (13,14), (12,5) , (16,7), (13, 14), (-2, 33), (13, 14 } a function? and give an explanation.. thanks! :) -apple

Question 634343: Is { (13,14), (12,5) , (16,7), (13, 14), (-2, 33), (13, 14 } a function?
and give an explanation.. thanks! :)
-apple
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
{ (13,14), (12,5) , (16,7), (13, 14), (-2, 33), (13, 14 }

is the same as

{ (13,14), (12,5) , (16,7), (-2, 33)}

after you remove all the duplicates

Since each x maps to ONLY ONE y value, this means that this relation is indeed a function. If we had for instance x = 12 mapping to both y = 5 and y = 8 at the same time, then it wouldn't be a function. But that's not the case here.

So this relation is a function.
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