Adding (0, 7) to the set {(0, 1), (2, 4), (3, 5)} would not make it a function.
What is a relation?
- "It is the relationship between sets of values of ordered pairs."
- "The first value of ordered pairs is domain and the second value is called as range."
What is a function?
- "A relationship is a relationship between input and output."
- "In a function, there is exactly one output for each input."
For given question,
We have been given a relation {(0, 1), (2, 4), (3, 5)}.
We know, in a function, there is exactly one output for each input.
If we add the ordered pair (0, 7) for input '0' there are two outputs 1 and 7.
This means, the relation would not be a function.
Therefore, adding (0, 7) to the set {(0, 1), (2, 4), (3, 5)} would not make it a function.
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