SOLUTION: . Algebraically determine if the relation x + y = 0 is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry. A. y-axis B. x-axis C. no symm

Algebra ->  Rational-functions -> SOLUTION: . Algebraically determine if the relation x + y = 0 is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry. A. y-axis B. x-axis C. no symm      Log On


   

Question 1086079: .
Algebraically determine if the relation x + y = 0 is symmetric with respect to the x-axis, y-axis, the origin or has no symmetry.

A. y-axis

B. x-axis

C. no symmetry

D. the origin


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=-x, f(x)=-x
change x to -x; f(-x)=-(-x)=x
not symmetric with regards to the y-axis. Not an even function
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f(x)=-x
-f(x)==x. Not an odd function
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Graph it and turn the graph upside down. It looks the same. Symmetrical about the origin.
Or, replace y with -y and x with -x, and we have -y=x, which is the function.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-x%29