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c) Let the set A = {-1,0,1} and consider the following function: f3: A × A→ A × A given by f(x, y) = (y7, x). Decide whether this function is injective, surjective, a bijection. f3 is an injection: Not Answered ● f3 is a surjection: Not Answered ● f3 is a bijection: Not Answered d) Let the set A = {1,2,3,4} and let P(A) denote the power-set of A. Consider the following function: f4 : P(A) → P(A) given by f₁(B) = {1,2,3}\B. Decide whether this function is injective, surjective, a bijection. f4 is an injection: Not Answered ● ● f4 is a surjection: Not Answered f4 is a bijection: Not Answered

c) Let the set A = {-1,0,1} and consider the following function: f3: A × A→ A × A given by f(x, y) = (y7, x). Decide whether this function is injective, surjective, a bijection. f3 is an injection: Not Answered ● f3 is a surjection: Not Answered ● f3 is a bijection: Not Answered d) Let the set A = {1,2,3,4} and let P(A) denote the power-set of A. Consider the following function: f4 : P(A) → P(A) given by f₁(B) = {1,2,3}\B. Decide whether this function is injective, surjective, a bijection. f4 is an injection: Not Answered ● ● f4 is a surjection: Not Answered f4 is a bijection: Not Answered

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 63E
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c) Let the set A = {-1,0, 1} and consider the following function: f3 A × A → A × A given by f(x,y) = (y7,x). Decide whether this function is injective, surjective, a bijection. f3 is an injection: Not Answered • ƒ3 is a surjection: Not Answered f3 is a bijection: Not Answered d) Let the set A = {1, 2, 3,4} and let P(A) denote the power-set of A. Consider the following function: f₁ : P(A) → P(A) given by ƒ(B) = {1, 2, 3}\B. Decide whether this function is injective, surjective, a bijection. f4 is an injection: Not Answered f4 is a surjection: Not Answered • f is a bijection: Not Answered
Transcribed Image Text:c) Let the set A = {-1,0, 1} and consider the following function: f3 A × A → A × A given by f(x,y) = (y7,x). Decide whether this function is injective, surjective, a bijection. f3 is an injection: Not Answered • ƒ3 is a surjection: Not Answered f3 is a bijection: Not Answered d) Let the set A = {1, 2, 3,4} and let P(A) denote the power-set of A. Consider the following function: f₁ : P(A) → P(A) given by ƒ(B) = {1, 2, 3}\B. Decide whether this function is injective, surjective, a bijection. f4 is an injection: Not Answered f4 is a surjection: Not Answered • f is a bijection: Not Answered
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