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If the given relation a fucntion? Give r...

If the given relation a fucntion? Give reason for your answer.
(i) `h={(4,6),(3,9),(-11,6),(3,11)}`
(ii) `f={(x,x)|x` is a real number }
(iii) `g={(x,(1)/(x))x` is a positive integer}
(iv) `s={(x,x^(2))|x` is positive integer}
(v) t={(x,3)|x is a real number}

Text Solution

AI Generated Solution

To determine whether each of the given relations is a function, we need to check if every element in the domain (the first element of each pair) maps to exactly one element in the codomain (the second element of each pair). Let's analyze each relation step by step: ### (i) \( h = \{(4,6), (3,9), (-11,6), (3,11)\} \) 1. **Identify the domain elements**: The first elements (domain) are 4, 3, and -11. 2. **Check for uniqueness**: The element 3 appears twice in the relation, mapping to both 9 and 11. ...
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