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
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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) (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.
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