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Some Important Facts about Function


Fact 1. 
The definition of function does not prevent some elements in the co-domain not being image of some elements in domain.


Figure 1

Fact 2. 
The definition of function does not prevent two or more elements in the domain having the same image in the co-domain.


Figure 2

Fact 3.
According to definition of function the correspondence in Figure 3 is not a function as no element of domain can have more than one image.


Figure 3

Fact 4. 
According to definition of function the correspondence in Figure 4 is not a function as no image has been assigned to an element in the domain.


Figure 4





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