Question

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).

Answer 1

Answer:

Step-by-step explanation:

if f(-x)=-f(x) then it is odd.

if f(-x)=f(x) then it is even.

$f(x)=\frac{1}{2}x^{3} \\f(-x)=\frac{1}{2}(-x)^{3}=-\frac{1}{2}x^3=-f(x)$

so f(x) is odd.