Is y=0 an Odd Function Despite Not Being Symmetric About the Origin?

[lLovePhysics]

How is y=0 an odd function when it isn't symmetric to the origin?

 

[benorin]

Sure it is. Consider f(x)=0 and recall the definition of an odd function.

 

[CompuChip]

Note here, that for any function f in general, it's not necessary that f is either odd or even; nor that it cannot be both. You've found an example of the latter

 

[HallsofIvy]

Note here, that for any function f in general, it's not necessary that f is either closed or open; nor that it cannot be both. You've found an example of the latter

Did you mean "odd" and "even"? f(x)= 0 is clearly a closed function, certainly not open!
It is definitely both even and odd.

 

[CompuChip]

Heh, just read a topology thread. I was thinking "odd" and "even", but I wrote "open" and "closed". Still a bit sleepy probably :O
I'll change my post