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DEFINITION
Let A & B be any two non empty sets
A relation f with the property that each element x of A is related to the EXACTLY one element y of B is said to be a mapping / function from A to B
EVALUATION
CHECKING FOR f(x)
By the given definition of f
For each element x we get EXACTLY one value f(x)
So f is a function
CHECKING FOR g(x)
By the given condition of g(x)
Also
So
For one value of x ( = 2) we get two values of g(x)
So g is not a function
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