Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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-

Options:

onto

neither one- one nor onto

one-one 

one-one and onto  both

Correct Answer:

one-one 

Explanation:

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.