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A Discerning Function

Algebra Level 3

\[ f(x,y)=\frac{x+y}{2}+\frac{|x-y|}{2}\]

What is the output of the function above?

Whichever is lower, \(x\) or \(y\) The average of \(x\) and \(y\) Depends on whether \(x\) and \(y\) are positive or negative Whichever is higher, \(x\) or \(y\)

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by Nicholas James

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