SOLUTION: Your help is always appreciated. Is the following relation odd, even, both or neither? x^2 + y^2=16 Thank You.

Question 13405: Your help is always appreciated.
Is the following relation odd, even, both or neither? x^2 + y^2=16
Thank You.
Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!
A function f(x) is defined as being even if f(x) = f(-x)
and odd if f(-x) = -f(x) since this does not equal f(x)
In the given equation = 16
Even if we put -x and -y in place of x and y the value does not change since the square on both variables removes the negative sign.
Hence the expression is Even
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