Q1 (2) Which of the following relations are functions? Give reasons. If it is a function,
determine its domain and range.
{(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}
Since, 2, 4, 6, 8, 10,12 and 14 are the elements of domain R having their unique images. Hence, this relation R is a function.
Now,
As Domain of R = set of all first elements of the order pairs in the relation.
Therefore,
Domain of
Now,
As Range of R = set of all second elements of the order pairs in the relation.
Therefore,
Range of
Therefore, domain and range of R are respectively