Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?

(-1,-7) , (1,-7) , (-1,-7) , (9,-7)

A. relation only

B. both a relation and a function

C. function only

D. neither a relation nor a function

Question

Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?

(-1,-7) , (1,-7) , (-1,-7) , (9,-7)

	
A.  	relation only
	
B.  	both a relation and a function
	
C.  	function only
	
D.  	neither a relation nor a function

mertsj · Answer

Remember that a relation is a set of ordered pairs.  So it is definitely a relation.
A function is a set of ordered pairs in which no two ordered pairs have the same first number.  Now in this example, they tried to trick you because they listed one ordered ;pair twice.  So it is just one member of the function.  And yes, it is a function.  If you take out the duplicate, none of the ordered pairs have the same first number so it is both a relation and a function.