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)}

Question

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)}

Philoid · Accepted Answer

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.

As Domain of R = set of all first elements of the order pairs in the relation.

⇒ Domain of R = {2, 4, 6, 8, 10, 12, 14}

Range of R = set of all second elements of the order pairs in the relation.

⇒ range of R = {1, 2, 3, 4, 5, 6, 7}.

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)}

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)}