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...

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

Extracted 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)=""><>

Jun 05, 2022

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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...

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