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# Relation between the sets P and Q. Write this relation (i) in set-builder form, (ii) in roster form. What is its domain and range?

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Obvious that the relation R is “x is the square of y”.
set-builder form, R = {(x, y): x is the square of y, x $\in$ P, y $\in$ Q}
roster form, R = {(9, 3), (9, –3), (4, 2), (4, –2), (25, 5), (25, –5)}
domain of this relation is {4, 9, 25}.
range of this relation is {– 2, 2, –3, 3, –5, 5}.
that the element 1 is not related to any element in set P.
The set Q is the codomain of this relation.
answered Jun 25, 2014