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):
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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