Question

Which of the following is an odd function?

O f(x) = x^4+ 5x² + x
ofx)= square root of x
o f(x) = x^2 + x
of(x) = -x

Answer 1

f(x)=-x

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`