Q. 15.0( 1 Vote )

# State whether eac

If P and Q are two relation then the two most important conditions for the relation to be treated as a function are as follows,

● Each element of P must have a unique image in Q.

● Each element of P has to be mapped with only one element in Q

If either of the above conditions is not satisfied, then the relation can’t be consider as a function.

(i) The figure shows mapping from P to Q, the element "C" in P does not have any image in Q. Since, the above given relation does not meet the conditions for relation and functions mentioned above so it is not a function.

(ii) In the above mapping from L to m, each element of L has an image in M and the number of image for each element is one. Since, the above given relation satisfies all the conditions of relation and function mentioned above, so it is a function.

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