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
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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}?
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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