Let S be the set of all strings of a's and b's of length 3. Let B = {0, 1}. Let f: S B be defined as follows. if s contains the letter "b" 0if s does not contain the letter "b" 1 f(s). Evaluate the following: a) f(aaa) b) f(aab) c) List all the ordered pairs for which f(s) =1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 55E
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Let S be the set of all strings of a's and b's of length 3. Let B = {0, 1}.
Let f: S B be defined as follows.
S1
f(s)
0if s does not contain the letter "b"
1 if s contains the letter "b"
Evaluate the following:
a) f(aaa)
b) f(aab)
c) List all the ordered pairs for which f(s) = 1
.
Transcribed Image Text:Let S be the set of all strings of a's and b's of length 3. Let B = {0, 1}. Let f: S B be defined as follows. S1 f(s) 0if s does not contain the letter "b" 1 if s contains the letter "b" Evaluate the following: a) f(aaa) b) f(aab) c) List all the ordered pairs for which f(s) = 1 .
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