Which of the following relations is a function: {(0,0), (1,1), (0,-2), (1,-2)} {(1,4), (2,4), (4,4), (0,4)} {(1,2), (1,4), (2,0), (-4,0)} Or None                  

Expert Answers

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A relation is a function if for each x-value there is exactly one y-value associated with it.

In the first choice, the relation has 2 y-values for the same x-value of 1.  It is not a function.

In the second choice, every x-value has only 1 y-value.  This is a function.

In the third choice, there are 2 y-values for the x-value of 1.  This is not a function.

Therefore, the correct choice is the second option or the relation {(1,4), (2, 4), (4, 4), (0, 4)} is a function.

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