Q

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.

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)}

Views

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  $R =\left \{ {2, 4, 6, 8, 10,12, 14} \right \}$

Now,
As Range of R = set of all second elements of the order pairs in the relation.
Therefore,
Range of  $R =\left \{ {1, 2, 3, 4, 5,6, 7} \right \}$

Therefore, domain and range of R are  $\left \{ {2, 4, 6, 8, 10,12, 14} \right \} \ and \ \left \{ {1, 2, 3, 4, 5,6, 7} \right \}$  respectively

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