# How do you determine the intervals where #f(x)=x^(2/3)+3# is concave up or down?

##### 1 Answer

Oct 25, 2016

Investigate the sign of the second derivative.

#### Explanation:

The domain of

So the only place where

On

On

Because the concavity does not change, there is no inflection point.

By the way, here is the graph of

graph{y=x^(2/3)+3 [-12.62, 12.69, -2.98, 9.68]}