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Express the range of each function using roster notation. (k) Let A = {1, 2, 3). f: P(A) → P(A). For X ≤ A, f(X) = X U {1}.

Express the range of each function using roster notation. (k) Let A = {1, 2, 3). f: P(A) → P(A). For X ≤ A, f(X) = X U {1}.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Express the range of each function using roster notation.** **(k)** Let \( A = \{1, 2, 3\} \). \( f: P(A) \rightarrow P(A) \). For \( X \subseteq A \), \( f(X) = X \cup \{1\} \).
Transcribed Image Text:**Express the range of each function using roster notation.** **(k)** Let \( A = \{1, 2, 3\} \). \( f: P(A) \rightarrow P(A) \). For \( X \subseteq A \), \( f(X) = X \cup \{1\} \).
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