Stitz-Zeager_College_Algebra_e-book

# A a 4 1 3 0 2 1 1 2 0 3 1 4 b

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Unformatted text preview: ions. Please note that in the notation below we are using the ellipsis, . . . , to denote that the list does not end, but rather, continues to follow the established pattern indeﬁnitely. For the ﬁrst two relations, give two examples of points which belong to the relation and two points which do not belong to the relation. (a) {(x, y ) : x is an odd integer, and y is an even integer.} (b) {(x, 1) : x is an irrational number } (c) {(1, 0), (2, 1), (4, 2), (8, 3), (16, 4), (32, 5), . . .} (d) {. . . , (−3, 9), (−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4), (3, 9), . . .} 20 Relations and Functions 1.2.2 Answers (c) 1. (a) y y 9 8 7 6 5 4 3 2 1 4 3 2 1 −2 −1 −3−2−1 123 1 (d) x y 6 5 4 3 2 1 (b) y 5 4 3 2 1 −6−5−4−3−2−11 − −2−11 − 123 2. (a) (c) y y −4 −3 −2 −1 −1 1 2 3 4 4 3 2 1 x (d) y 5 4 3 3 2 2 1 1 −1 x −3 −2 −1 1 − −2 −3 −3 y 123456 −2 −3 −4 −5 −6 x −2 −3 −4 (b) x 2 1 2 3 x −1 −2 −2 −3 −3 1 2 3 x x 1...
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