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

##### 2 Answers

concave up

#### Explanation:

find the derrivaive to the given function

it will be

for every integer value of x the value decreases

slope of the function

so as value of

the function

The function

#### Explanation:

Investigate the sign of the second derivative.

So

and

Because