Is the function f(x)=1/2x^3 even or odd? Why?

A.)The function is even because for any input, x, f(x)=−f(x).
B.)The function is odd because for any input, x, f(x)=f(−x).
C.)The function is odd because for any input, x, f(x)=−f(x).
D.)The function is even because for any input, x, f(x)=f(−x).