when dealing with functions, If you end up with the exact same function that you started with, For example, f(–x) = f(x), so all of the signs are the same, then the function is even. If you end up with the exact opposite of what you started with for example, f(–x) = –f(x), so all of the "+" signs become "-" signs, then the function is odd. This mirroring about the axis is an even function.
An example of an odd function would be a graph that looks like this:
The mathematical view of A function is y = f(x) is an even function of
x if f(-x) = f(x),odd function of x if
f(-x) = -f(x), for every x in the function's domain.
These two views of even and odd fcns, both prove the same thing.
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ReplyDelete"If you end up with the exact same function that you started with"
ReplyDeleteWhat does this mean? What is that you're starting with to "end up with" something new?