State that the given relation is a function? Give reason. If it i… - Vidyadip

Question

State that the given relation is a function? Give reason. If it is a function, determine its domain and range. R={(2, 1), (4, 2), (6, 3), (8, 4), (10,5), (12, 6), (14, 7)}

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Answer

The given relation is,
{(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}
All values of x are distinct. Each value of x has a unique value of y.
Therefore, the relation is a function.
$\therefore $ Domain of function = {2, 4, 6, 8, 10, 12, 14}
Range of function = {1, 2, 3, 4, 5, 6, 7}

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