Question

# If X={1,2,3,4,5} and Y={1,3,5,7,9}, then which of the following relation(s) is/are not a function from X→Y?

A
R1={(x,y)y=2+x,xX,yY}
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B
R2={(1,1),(2,1),(3,3),(4,3),(5,5)}
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C
R3={(1,1),(1,3),(3,5),(4,7),(5,7)}
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D
R4={(1,3),(2,5),(3,4),(4,9)}
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Solution

## The correct option is D R4={(1,3),(2,5),(3,4),(4,9)}R1 is not a function from X to Y, because there are no images of 2,4 present in Y R3 is not a function from X to Y, because there are two images of 1 present in Y R4 is not a function from X to Y, because 4 is not present in Y and the image is 5 is not defined

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