Which characteristic is correct for the function f(x)=4x^5+8x+2

?

both even and odd

even

neither even nor odd

odd

Remembering that even means f(-x) = f(x) and that odd means f(-x) = -f(x), you should find the following graph helps:

(Hint: does f(-1) = f(1), -f(1), or neither of these?)