Question 118109: I was not sure what type of problem this would be so I put what i thought was close.
Which of the following relations represents a function?
a. (0,4) (0,-3) (1,-2)
b. (1,1) (1,2) (1,3)
c. (2,-1) (2,1) (2,3)
d. (-1,2) (1,2) (3,2)
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! What is a function?
It's a special relationship in which each member of the domain (x) is paired with exactly one member in the range (y).
In a set of ordered pairs (x, y), such as you have in your problem, the x-value is the domain while the y-value is the range.
In set a) you have:
(0, 4) (0, -3) (1, -2) You'll notice that for x = 0 (the domain), you have two different values of y (4 and -3), and ths violates the definition of a function.
The same thing can be said for set b) and set c).
But set d) for each value of the domain (x), there is exactly one value of the range (y) so this relation represents a function.
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