Practicing Success
Let A ={1, 2, 3 }, B= {4, 5, 6, 7}and let f = {(1, 4), (2,5), (3,6)} be a function from A to B. Then f is- |
onto neither one- one nor onto one-one one-one and onto both |
one-one |
It is given that A ={1, 2, 3 }, B= {4, 5, 6, 7} f:A→B is a function defined as f = {(1, 4), (2,5), (3,6)} So, f(1) =4, f(2) = 5, f(3) = 6 It is seen that the image of distinct elements of A under f are distinct. Hence, f is one-one. But 7 is only element which is not image of any element of A so f is not onto. |