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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.

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\}$