Example 11 - Chapter 2 Class 11 Relations and Functions

Transcript

Example 11 Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (i) R = {(2, 1), (3, 1), (4, 2)}, The first elements are 2, 3 and 4 All these are not repeating. Hence they have unique(one) images. So, this relation is a function. Example 11 Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (ii) R = {(2,2),(2,4),(3,3), (4,4)} The first element are 2, 2, 3 and 2 Here 2 is coming twice, i.e. it is repeating Hence, this relation is not a function. Example 11 Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)} The first elements are 1, 2, 3, 4, 5 and 6 . All these are not repeating. Hence they have unique(one) images. So, this relation is a function.