If x # y= −1, which of the following could be true?

If x # y= −1, which of the following could be true?
(A)    x = y
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set D: Defined Functions

 
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Posted: 05/19/2012 15:35
How does (- 4/5)#(- 4/5) = - 4/5 + (-4/5)/4 ?
Arcadia
Admin
 
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Posted: 05/19/2012 20:20
Tiffany, there is a missing declaration for problems 16 an 17, as follows:

Define the symbol # by the following equations:

x # y = (x – y)^2, if x > y.
x # y = x + y/4, if x ≤ y.

Our apology for the error.
 
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Posted: 10/05/2012 13:07
Why is 4/5 used?
Contributor
 
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Posted: 10/05/2012 14:25
Ngan, 4/5 is used as a "plugin" example in the explanation, because in the function definition, there is y/4, so that it's easier to eliminate 4 in the denominator when doing calculation.
 
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If x # y= −1, which of the following could be true? 
Posted: 07/31/2013 19:03
Why need plug-in? The logic is clear. For a negative number, it rules out the first choice, only the 2nd choice is relevant!