Let f be a function defined on binary strings as follows: If u is a string such that u = abc where lal = |b| = |c| then f(u) = a. %3D For example, if u = 101101011, then f(u) = 101. Which of the following statements are true? a. The cardinality of the set {u | f(u) = u} is 1. b.f is a total function. Oc. If Jul = 24, then f(f(u) is not defined. O d. F is an injection. e. The range of f is the set of all binary strings. f. fis onto the set of all binary strings.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Let f be a function defined on binary strings as follows:
If u is a string such that u = abc where la| = |b| = |c| then f(u) = a.
%3D
For example, if u = 101101011, then f(u) = 101.
Which of the following statements are true?
a. The cardinality of the set {u | f(u) = u} is 1.
b.f is a total function.
c. If Jul = 24, then f(f(u) is not defined.
d. F is an injection.
e. The range of f is the set of all binary strings.
f. fis onto the set of all binary strings.
Transcribed Image Text:Let f be a function defined on binary strings as follows: If u is a string such that u = abc where la| = |b| = |c| then f(u) = a. %3D For example, if u = 101101011, then f(u) = 101. Which of the following statements are true? a. The cardinality of the set {u | f(u) = u} is 1. b.f is a total function. c. If Jul = 24, then f(f(u) is not defined. d. F is an injection. e. The range of f is the set of all binary strings. f. fis onto the set of all binary strings.
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