Hello, for this question isn’t it true that n could be a function, just a function of y rather than of x? If the question doesn’t specify that we’re only looking for functions of x, couldn’t n also still be a function?
Can you explain your statement a bit more clearly. Not sure what you’re trying to say.
So the correct answer is that m is an even function, and n is neither even nor odd. The reason for this is that n is not a function, because for each positive x input, there are two outputs. This means that n is not an even function of x. However, it is a symmetrical and therefore even function of y, where each input produces only one x output. Therefore, isn’t it correct that n is an even function of y? And in the question, they never specify that we are looking for functions in regard to x, so couldn’t n still be an even function, just in y instead of in x?
Well, if you look at it that way, you’re correct theoretically.
@Leaderboard is a bit of clarification necessary in the question?
Even functions have a specific definition in the coordinate system, so no. See Even and odd functions - Wikipedia
I see, thanks for clarifying!