Bonus: Let A = {-3, –2, –1,0,1,2,3} and B = {-10, –9, ...,9, 10} be sets. A function f:A - B is defined by %3D , ne{-10,1} -n, if ne(-22) n2-9, f ne(-33) f (n) = a) Write the function f (n) as a set of ordered pairs. b) What is the domain, codomain, and range of the function? e) What is f (X) where X = {-3, –2, –1}?
Bonus: Let A = {-3, –2, –1,0,1,2,3} and B = {-10, –9, ...,9, 10} be sets. A function f:A - B is defined by %3D , ne{-10,1} -n, if ne(-22) n2-9, f ne(-33) f (n) = a) Write the function f (n) as a set of ordered pairs. b) What is the domain, codomain, and range of the function? e) What is f (X) where X = {-3, –2, –1}?
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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Question
![Bonus: Let A = {-3, –2, –1,0, 1,2,3} and B = {-10, –9, ...,9, 10} be sets. A function
f: A - B is defined by
%3D
n2, if ne{-1,0,1}
-n, if ne(-2,2)
n2-9, if ne(-3,3)
f (n) =
a) Write the function f (n) as a set of ordered pairs.
b) What is the domain, codomain, and range of the function?
c) What is f (X) where X = {-3, -2, -1}?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeb81122-6fbf-4c63-aaf5-71689ff4fea7%2F6febb61a-83fe-49a4-abe9-10ad8519c2ac%2Feyi2ev_processed.png&w=3840&q=75)
Transcribed Image Text:Bonus: Let A = {-3, –2, –1,0, 1,2,3} and B = {-10, –9, ...,9, 10} be sets. A function
f: A - B is defined by
%3D
n2, if ne{-1,0,1}
-n, if ne(-2,2)
n2-9, if ne(-3,3)
f (n) =
a) Write the function f (n) as a set of ordered pairs.
b) What is the domain, codomain, and range of the function?
c) What is f (X) where X = {-3, -2, -1}?
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