Question

Which of the following is an odd function?

Answer 1

Answer:

f(x)=-x

Step-by-step explanation:

An odd function is symmetric with respect to origin.

It has the property,

$f( - a) = - f(a)$

The only function that is symmetric about the origin is:

$f(x) = - x$

Now let's put x=-a, to get:

$f( - a) = - - a = a$

Also

$f(a) = - a$

We can see that:

$f( - a) = - f(a) = a$