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Question
Mathematics
Which table represents a function?
x x y y
-1 -2
-1 -1
0 0
2 1
2 2
x y -1 -2 -1 -1 0 0 2 1 2 2
x x y y
-2 0
-1 1
0 1
-1 2
-2 2
x y -2 0 -1 1 0 1 -1 2 -2 2
x x y y
2 -2
1 -1
0 0
1 1
2 2
x y 2 -2 1 -1 0 0 1 1 2 2
x x y y
-2 -1
-1 -1
0 0
1 1
2 2
x y -2 -1 -1 -1 0 0 1 1 2 2
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Best Answer
A function is a set of ordered pairs in which no two ordered pairs have the same value of the first coordinate, but different values of the second coordinate. This means that for a given x x, there can only be one corresponding y y.
Out of the given tables, only the second table represents a function, because for each unique value of x x, there is only one corresponding value of y y.
In the other tables, there are repeated x x values with different corresponding y y values, which means they do not represent a function. Specifically, in the first table, there are two ordered pairs with x = 1 x=-1 but different y y values. In the third and fourth tables, there are two ordered pairs with the same x x and different y y values.
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