Question

The given diagram represents
(A) an onto function (B) a constant function
(C) an one-one function (D) not a function

Answer 1

Function:
Let A and B be two non-empty sets.
A function f from A to B is a rule which assigns to each element in A a unique element in B.

It is clear that the definition of function will not allow any element in domain has more than one image in Co domain.

Therefore, the given relation is not a function because the element 2 in C has two images in D under f.

Answer 2

Solution :

Given f = { (2,4),(2,2),(4,16),(5,25)}

Above relation is not a function.

First two to ordered pairs having

same first coordinates .

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Condition :

In a relation if no two ordered

pairs having same first coordinates

then such relation is called a

function .

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