QUESTION 6 For all the questions below consider function F mapping from set X to set Y. For each statement about F, answer what that implies about the relative sizes of the sets X and Y. Fis an onto function. A. We have no information on relative sizes + Fis a one-to-one function B. Size(X) > size(Y) + F has an inverse function C. Size(X) 2 size(Y) + Fis one-to-one, but not onto. D. Size(X) size(Y) %3D + Fis onto, but not one-to-one. E. Size(X) s size(Y) F is not a "well defined" function F. Size(X) < size(Y)

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ISBN:9780470458365
Author:Erwin Kreyszig
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QUESTION 6
For all the questions below consider function F mapping from set X to set Y.
For each statement about F, answer what that implies about the relative sizes of the sets X and Y.
+ F is an onto function.
A. We have no information on relative sizes
+ Fis a one-to-one function
B. Size(X) > size(Y)
+ F has an inverse function
C. Size(X) 2 size(Y)
+ Fis one-to-one, but not onto.
D. Size(X) = size(Y)
%3D
+ Fis onto, but not one-to-one.
E. Size(X) < size(Y)
+ F is not a "well defined" function
F. Size(X) < size(Y)
Transcribed Image Text:QUESTION 6 For all the questions below consider function F mapping from set X to set Y. For each statement about F, answer what that implies about the relative sizes of the sets X and Y. + F is an onto function. A. We have no information on relative sizes + Fis a one-to-one function B. Size(X) > size(Y) + F has an inverse function C. Size(X) 2 size(Y) + Fis one-to-one, but not onto. D. Size(X) = size(Y) %3D + Fis onto, but not one-to-one. E. Size(X) < size(Y) + F is not a "well defined" function F. Size(X) < size(Y)
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