Q&A - Ask Doubts and Get Answers
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)}

Answers (1)
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

Exams
Articles
Questions