This page contains the NCERT mathematics class 12 chapter Relations and Functions Exercise 1.2 Problem 6 Solution. Solutions for other problems are available at Exercise 1.2 Solutions
Exercise 1.2 Problem 6 Solution
6. 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. Show that f is one-one.
Observing A, every element in A has a unique/distinct image in B.
Given that A = {1, 2, 3} and B = {4, 5, 6, 7}
The function f is defined as f = {(1, 4), (2, 5), (3, 6)}
⇒ f(1) = 4, f(2) = 5 and f(3) = 6
This can be diagramatically represented as follows:
From the above, it is clear that every element in A has a unique image in B.
∴ f is one-one.
