Let A = {1, 2, 3, 4, 5}, and define a function F: P → Z as follows. For each set of X in P(A), ļo if x has an even number of elements 1 if X has an odd number of elements. F(X) = Find the following: (a) F({2, 4}) = (b) F({1, 4, 3, 2}) = (c) F({1, 3, 5}) = (d) F(Ø) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Let A = {1, 2, 3, 4, 5}, and define a function F: P → Z as follows.
%3D
For each set of X in P(A),
0 if X has an even number of elements
(1 if X has an odd number of elements.
F(X) =
Find the following:
(a) F({2, 4}) =
(b) F({1, 4, 3, 2}) =
(c) F({1, 3, 5}) =
(d) F(Ø) =
%3D
Transcribed Image Text:Let A = {1, 2, 3, 4, 5}, and define a function F: P → Z as follows. %3D For each set of X in P(A), 0 if X has an even number of elements (1 if X has an odd number of elements. F(X) = Find the following: (a) F({2, 4}) = (b) F({1, 4, 3, 2}) = (c) F({1, 3, 5}) = (d) F(Ø) = %3D
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