Question 7092: Determine whether each relation is a funtion, justify your answer.
{(0,1), (1,0), (2,1), (3,1), (4,2)}
HOw do i solve this problem?
Found 2 solutions by glabow, drglass:
Answer by glabow(165)   (Show Source):
You can put this solution on YOUR website! The definition of a function is that there is only one y value associated with each x value. In the list of value pairs you gave, there is only one y value associated with each x value. This is a function.
Answer by drglass(89) (Show Source):
You can put this solution on YOUR website! First consider what it means to be a function. If f is a function, then, if you take one value for x, you will find one and only one value for y. To put this in a different way, if you can find an x value that produces more then one y value, then the relation is not a function.
Next, consider this problem. Look at all of the x values, they are 0, 1, 2, 3 and 4. In each case, the x value produces one and only one y value, so the relation must be a function.
To make the point clear, let's pretend we add (0,2) to the relation. This means, the x value 0 can produce two y values, 1 and 2. Under this condition, the relation is not a function.
Since the problem tells you all of the possible x, y combinations, the relation must be a function.
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