Question 309353: Which function is one to one
1 (1,2)(2,2)(3,5)(5,0)
2 (1,3)(2,4)(4,1)(0,2)
3 (1,1)(2,1)(3,4)(4,5)
4 (0,1)(1,0)(2,0)(3,2)
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! A function f from A to B is called one-to-one (or 1-1) if whenever
f (a) = f (b) then a = b. No element of B is the image of more than one element in A.
In other words, a one-to-one function CANNOT have repeated values for y.
Looking at your choices, the only one that does not repeat values for y is choice 2 or (1,3)(2,4)(4,1)(0,2).
Do you see that the values for y are 3, 4, 1 and 2? None of them repeat and so this is why it is one-to-one.
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