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Let X = {1, 2, 3} and Y = {4, 5}. Find whether the following subsets of X × Y are functions from X to Y or not. k = {(1,4), (2, 5)}.

 Let X = {1, 2, 3} and Y = {4, 5}. Find whether the following subsets of X × Y are functions from X to Y or not. 
 k = {(1,4), (2, 5)}. 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
one year ago
Dear Student

Given, X = {1, 2, 3} and Y = {4, 5}
So, X × Y = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)} (i) f = {(1, 4), (1, 5), (2, 4), (3, 5)}

k = {(1, 4),(2, 5)}
Function k is not a function as ‘3’ has not any image under the mapping
Thanks

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