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

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


   



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) About Me  (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 +x%5E2+%2B+y%5E2 = 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