Which function is onto (surjective) but not one-to-one (injective)? f: {a, b, c, d} → {1, 2, 3, 4}, f(a) = 1, f(b) = 2, f(c) = 3, f(d) = 4 f: Z* → Z* such that f(x) = x²,Væ € Z* O f:RR such that f(r) = 2x? + 1, Væ eR f:Z Z such that f(x) = 3x, Va e Z None of the above O O O O O

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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Which function is onto (surjective) but not one-to-one (injective)?
O f: {a, b, c, d} –→ {1,2, 3, 4}, f(a) = 1, f(b) = 2, f(c) = 3, f(d) = 4
O f:Z' → Z' such that f(x) = æ², Væ € Z*
O f:R → R* such that f(x) = 2x? + 1, Væ E R
f:Z → Z such that f(x) = 3x, Væ € Z
None of the above
Transcribed Image Text:Which function is onto (surjective) but not one-to-one (injective)? O f: {a, b, c, d} –→ {1,2, 3, 4}, f(a) = 1, f(b) = 2, f(c) = 3, f(d) = 4 O f:Z' → Z' such that f(x) = æ², Væ € Z* O f:R → R* such that f(x) = 2x? + 1, Væ E R f:Z → Z such that f(x) = 3x, Væ € Z None of the above
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