1. No, the set of data does not represent a function.
A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
We are given with (1,4), (2, 4), (3, 5), (2, 2)
This is because every output of this data does not have unique input.
4 and 2 have the same input i.e. 2.
2. Yes, the set of the data represents a function.
We are given with (10, 5), (12, 5), (7, 12), (12, 2)
It is a function as every input has a single output.
So, (10, 12, 07) are the elements of the domain and (2, 5, 7, 12) is the range of the function.
3. Yes, it is a function as every input of this data represents the single and unique output.
We are given with (0, 0), (5, 4), (4, 5), (1, 0)
It has its unique elements and domain (0,1,4,5) and range is from (0, 1, 2, 3, 4, 5).
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