Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let 
X = {a, b, c}
 and 
Y = {d, e, f, g}.
  Define functions H and K by the arrow diagrams below.
 
The arrow diagram mapping the Domain of H to the Co−domain of H is given. There are two sets, the set X contains 3 elements, the set Y contains 4 elements, and 3 arrows connect the set X to the set Y, the relation from set X to set Y is labeled H.
  • The set X contains the elements a, b and c.
  • The set Y contains the elements d, e, f, and g.
  • An arrow connects a in the set X to d in the set Y.
  • An arrow connects b in the set X to f in the set Y.
  • An arrow connects c in the set X to f in the set Y.
The arrow diagram mapping the Domain of K to the Co−domain of K is given. There are two
 
(a)
Is H one-to-one? Why or why not?
 
Is H onto? Why or why not?
 
 
(b)
Is K one-to-one? Why or why not?
 
Is K onto? Why or why not?
 
 
Domain of H Co-domain of H х Н •d b• of
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Transcribed Image Text:Domain of H Co-domain of H х Н •d b• of
Domain of K Co-domain of K K •d of
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Transcribed Image Text:Domain of K Co-domain of K K •d of
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