Question 841946
f(x)=x^3|4x|


f(-x)=(-x)^3|4(-x)|


f(-x)=-x^3|4x|


So f(x) does NOT equal f(-x). Therefore, the function is NOT even.


f(x)=x^3|4x|


-f(x)=-x^3|4x|


but we can see that f(-x) = -f(x), so f(x) is indeed an odd function.


Answer: f(x) is an <font color="red">odd</font> function.