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**NCERT mathematics class 12 chapter Relations and Functions Exercise 1.2 Problem 6 Solution**. Solutions for other problems are available at Exercise 1.2 SolutionsExercise 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.