The set of ordered pairs that represents a function is: {(0, 2), (1, 4), (2, 6), (3, 6)}
We know that a function defines a relation between input and output values.
In function for each input there is exactly one output.
We need to find the set of ordered pairs that represents a function.
We need to find the set of ordered pairs such that for each x value (x coordinate) there is unique y value (y coordinate).
1) {(0, 1), (1, 3), (1, 5), (2, 8)}
This set of ordered pairs cannot be a function.
As for x = 1, there are two output values 3 and 5.
2) {(0, 0), (1, 2), (2, 6), (2, 8)}
This set of ordered pairs cannot be a function.
As for x = 2, there are two output values 6 and 8.
3) {(0, 0), (0, 2), (2, 0), (2, 4)}
This set of ordered pairs cannot be a function.
As for x = 0, there are two output values 0 and 2.
and for x = 2, the output values are 0 and 4.
4) {(0, 2), (1, 4), (2, 6), (3, 6)}
This set of ordered pairs represents a function.
Here, for each input value there is unique output value.
Therefore, the set of ordered pairs that represents a function is: {(0, 2), (1, 4), (2, 6), (3, 6)}
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