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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

View solutions

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

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including olympiad champions, researchers, and professionals.

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by Nicholas James

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