Given X-{20,40,0,80,120,130, 140, 410,500}, Y={0,1,2,3,4,5,6,7,10,11}, and function f: X-Y, Vx+10 S(x) = Identify the followings: i. Domain of f. ii. Co-domain of f. ii. Range of f. For each of the following classifications, either prove that fis this kind of function or explain why not. Propose a small change to X or Y to make it so f fits in each of classification: i Injection Surjection Rijantion

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given X={20,40,0,80,120,130, 140, 410,500}, Y={0,1,2,3,4,5,6,7,10,11}, and function f: X-Y,
Vx+10
S(x)=
Identify the followings:
i Domain of f.
ii. Co-domain of f.
Range of f.
111.
For each of the following classifications, either prove that fis this kind of function or explain why not.
Propose a small change to X or Y to make it so f fits in each of classification:
Injection
Surjection
Bijection
11.
111.
Transcribed Image Text:Given X={20,40,0,80,120,130, 140, 410,500}, Y={0,1,2,3,4,5,6,7,10,11}, and function f: X-Y, Vx+10 S(x)= Identify the followings: i Domain of f. ii. Co-domain of f. Range of f. 111. For each of the following classifications, either prove that fis this kind of function or explain why not. Propose a small change to X or Y to make it so f fits in each of classification: Injection Surjection Bijection 11. 111.
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