I have the following example, I don't get what is being done here, how are the subsets of A taken? and the images? please show the example in more steps:  "For A={a,b,c,d,e} and B={1,2,...,6} f={(a,3),(b,5),(c,2),(d,3),(e,6)} is a function from A to B. For C1={a,b,c}, C2={a,d}, C3={e} and C4=A, f(C1)={2,3,5}, f(C2)={3}, f(C3)={6}, f(C4)=range(f)={2,3,5,6}"

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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I have the following example, I don't get what is being done here, how are the subsets of A taken? and the images? please show the example in more steps: 

"For A={a,b,c,d,e} and B={1,2,...,6}

f={(a,3),(b,5),(c,2),(d,3),(e,6)}

is a function from A to B. For C1={a,b,c}, C2={a,d}, C3={e} and C4=A,

f(C1)={2,3,5}, f(C2)={3}, f(C3)={6}, f(C4)=range(f)={2,3,5,6}"

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