Q1 (1) Which of the following relations are functions? Give reasons. If it is a function,
determine its domain and range.
{(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}
Since, 2, 5, 8, 11, 14 and 17 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