# How do you determine whether the function #f(x)= x/ (x^2+2)# is concave up or concave down and its intervals?

##### 1 Answer

Sep 23, 2015

Refer to explanation

#### Explanation:

We have that

So we need to see how the signs change of

from

So from

from

from

from

In order to determine concavity we use the following theorem

Concavity Theorem:

If the function