It is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.
We are given a relation:
{(9 / 2, 1 / 4),(4 1 / 2, -4),(0, 5 / 6)}
We can also write it as:
{(9 / 2, 1 / 4),(9 / 2, -4),(0, 5 / 6)}
The domain of the relation will be:
Domain = { 9 / 2 , 0}
The range of the relation will be:
Range = {1 / 4, -4, 6}
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, this relation is not a function because:
The input 9 / 2 has 2 outputs as 1 / 4 and -4 which is not possible in a function.
Therefore, we get that it is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.
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