3. Determine which of the following functions are one-to-one.(а) fi: {1,2,3,4, 5} — {а,b, с, d}; i(1) 3Db, fi(2) — с, fi (3) — а, fi(4) — а, fi(5) %3D с(b) f2: (1,2,3,4} {a, b, с, d, e}; fe(1) %3 с, fa(2) 3 b, fa(3)(с) fs:Z — Z;3D а, f2(4) — dfs(n) == -nfa(n) = {2n if n <0—Зп if n > 0(d) f4:Z→Z;

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3. Determine which of the following functions are one-to-one. (a) fi:{1,2,3,4, 5} → {a,b, c, d}; fi(1) = b, f1(2) = c, f1(3) = a, f1(4) = a, f1(5) = c (b) f2:{1,2, 3,4} → {a, b, c, d, e}; f2(1) = c, f2(2) = b, f2(3) = (c) f3:Z→Z; fs(n) = a, f2(4) = d = -n 2n if n < 0 (d) fa:Z→Z; f4(n) = { -3n if n >0

3. Determine which of the following functions are one-to-one. (a) fi:{1,2,3,4, 5} → {a,b, c, d}; fi(1) = b, f1(2) = c, f1(3) = a, f1(4) = a, f1(5) = c (b) f2:{1,2, 3,4} → {a, b, c, d, e}; f2(1) = c, f2(2) = b, f2(3) = (c) f3:Z→Z; fs(n) = a, f2(4) = d = -n 2n if n < 0 (d) fa:Z→Z; f4(n) = { -3n if n >0

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter13: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 7RP

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