Question

1. State whether each of the following arrow diagrams define a function or not. Justify your answer.

Answer 1

(i) it's not a function .
Because we know, Every element of P must have image in Q . Adjoining figure does not represent a mapping since the element c in set Q is not associated with any element of set Q.

(ii) it is defined function.
Because we know,
A function is defined, if every element of set L is associated with unique element of set M. And also we can write it f:L→ M.

Answer 2

Solution :

_______________________

Function:

In a relation if no two ordered

pairs having same first coordinates,

then such relation is called a

function .

_______________________

Now ,

i ) f is not a function .

Because , c is not connected to

any element in Q.

ii ) f is a function .

No ordered pairs has same first

coordinates.

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