Question

ANSWER ASAP PLEASE AND SHOW YOUR WORK!!!!

Answer 1

Answer:

f(-x)= -f(x) so, the given function $f(x)= x^3-2x$ is Odd

Step-by-step explanation:

We need to determine if the function $f(x)= x^3-2x$ is Even, Odd, or Neither.

Determining if a function f(x) is even or not we put x=-x and check

If f(-x)=f(x) the function is even

if f(-x)= -f(x) the function is odd

So, Putting x =-x and determining if the given function $f(x)= x^3-2x$ is Even, Odd, or Neither.

$f(x)= x^3-2x\\Put \ x=-x\\f(-x)=(-x)^3-2(-x)\\f(-x)=-x^3+2x\\f(-x)=-(x^3-2x)\\f(-x)=-f(x)$

As f(-x)= -f(x) so, the given function $f(x)= x^3-2x$ is Odd