Q. 24.4( 10 Votes )

Find the domain a

Answer :

(i) Given: R = {(–1, 1), (1, 1), (–2, 4), (2, 4), (2, 4), (3, 9)}


Dom(R) = {x: (x, y) R} = {-2, -1, 1, 2, 3}


Range(R) = {y: (x, y) R} = {1, 4, 9}


(ii) Given:


That means,


Dom(R) = {x: (x, y) R} = {1, 2, 3, 4}


Range(R) = {y: (x, y) R} = {1, , , }


(iii) Given: R = {(x, y): x + 2y = 8 and x, y ϵ N}


That means, R = {(2, 3), (4, 2), (6, 1)}


Dom(R) = {x: (x, y) R} = {2, 4, 6}


Range(R) = {y: (x, y) R} = {1, 2, 3}


(iv) Given: R = {(x, y): y = |x – 1|, x ϵ Z and |x| ≤ 3}


Dom(R) = {x: (x, y) R} = {-3, -2, -1, 0, 1, 2, 3}


Range(R) = {y: (x, y) R} = {0, 1, 2, 3, 4}


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