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Home  >>  AIMS  >>  Class11  >>  Math  >>  Relations and Functions
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Let A = {–1, 2, 2, – 4} and $B = \bigg\{ -\large\frac{1}{4}$$, -1, \large\frac{1}{2}$$, 1, 2 \bigg\}$ \[\] If f = {(x, y) | xy =1, x $ \in $ A, y $ \in $ B}, prove that ‘f’ is a function from ‘A’ to ‘B’. Also, find its domain, range and co-domain.

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Domain of ‘f’ = the set of first members of the ordered pairs in ‘f’ = {–1, 2, –4} Range of ‘f’ = the set of second members of the ordered pairs in ‘f’ $ = \bigg\{-1,\large\frac{1}{2}$$ -\large\frac{1}{4} \bigg\}$
Co-domain of ‘f’ = set ‘B’ $ = \bigg\{ -\large\frac{1}{4}$$, -1, \large\frac{1}{2}$$, 1, 2 \bigg\}$
answered Jun 27, 2014 by thanvigandhi_1
 

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