1.

Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of each of the following: A mapping from A to B.

Answer»

One – One Function: – A function f : A → B is said to be a one – one functions or an injection if different elements of A have different images in B.

So, f : A → B is One – One function

⇔ a≠b

⇒ f(a)≠f(b) for all a, b ∈ A

⇔ f(a) = f(b)

⇒ a = b for all a, b ∈ A

Now, f : A → B, denotes a mapping such that

f = {(2,2),(5,3),(6,4),(7,4)}

Here it is clear that every first component is from B and second component is from A

Hence this is mapping from B to A


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