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If X={(1,2,3,4,5} and Y={1,3,5,7,9}, the...

If `X={(1,2,3,4,5} and Y={1,3,5,7,9}`, then find which of the following sets are functions from X to Y?
(i) `R_(1)={(x,y):y=x+2, x in X, y in Y}`
(ii) `R_(2) ={(1,2),(2,1),(3,3),(4,3), (5,3)}`
(iii)`R_(3)={(1,1),(1,3),(3,5),(3,7),(5,7)}`
(iv) `R_(4)={(1,3),(2,5),(4,7),(5,9),(3,1)}`

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The correct Answer is:
`R_(2) and R_(4)` are functions
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NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS-Exercise 2C
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  2. Examine each of the following relations given below and state in each...

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  12. If A={1,2} and B={3,6} and two functions f: A to B and g: A to B are d...

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