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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 . State whether f is one-one.
CBSE | Class 12 | Exercise 2C | Functions | Maths | RS Aggarwal
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 . State whether f is one-one.

Solution:

We need to state: Whether \mathrm{f} is one-one
Given that: f=\{(1,4),(2,5),(3,6)\}
Here the function is defined from A \rightarrow B
For a function to be one-one if the images of distinct elements of A under f are distinct i.e. 1,2 and 3 must have a distinct image.
From f=\{(1,4),(2,5),(3,6)\} we can see that 1,2 and 3 have distinct image.
Hence, f is one-one
Ans) f is one-one.

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