Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of each of the following:
a mapping from A to B.
TIP: – One – One Function: – A function is said to be a one – one functions or an injection if different elements of A have different images in B.
So, is One – One function
⇔ a≠b
⇒ f(a)≠f(b) for all
⇔ f(a) = f(b)
⇒ a = b for all
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