You take the function and plug –x in for x, and then simplify.
If f (–x) = f (x) then the function is even.
If f (–x) = –f (x) then the function is odd.
If no match, then neither
so
f(x) = ∛(2x)
f(x) = (2x)^1/3
Substitute x = - x
f(-x) = (2*(-x))^1/3
f(- x) = (-2x)^1/3
So f (-x) = -f (x)
Answer:
Function is odd.
