SOLUTION: Which of the following relations is a function? A.(2, 6), (3, 9), (4, 2), (3, 6) B.(2, 8), (3, 6), (2, 4), (0, 2) C.(3, -2), (4, 7), (-2, 5), (-4, 5) D.(

Question 744604: Which of the following relations is a function?

A.(2, 6), (3, 9), (4, 2), (3, 6)
B.(2, 8), (3, 6), (2, 4), (0, 2)
C.(3, -2), (4, 7), (-2, 5), (-4, 5)
D.(4, 7), (-2, 5), (1, 3), (-2, 1)

Found 2 solutions by lynnlo, MathLover1:
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
C.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Relations and functions are very closely related. While all functions are relations, not all relations are functions. That's because functions are a special subset of relations.
For a relation to be a function, there must be and value for value.
If there are two pairs of numbers that have the value but values, then the relation is a function.

A.(,), (,), (, ), (, )

since pairs (,) and (, ) have the value but values, the relation is a function

B.(,), (, ), (, ), (, )
(,), (,), (, ), (, )
since pairs (,) and (,) have the value but values, the relation is a function

C.(,), (,), (, ), (, )
since this relation has NO pairs that have the value but values, the relation a function
D.(, ), (, ), (, ), (, )
since pairs (,) and (,) have the value but values, the relation is a function

so, your answer is :

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