Hello!

I have this function and I need to give the intervals where the function's graph is concave and convex.

I know when , and

Thanks in advance!

Printable View

- August 26th 2009, 02:24 PMsebastoWhere is f(x) concave and convex?
Hello!

I have this function and I need to give the intervals where the function's graph is concave and convex.

I know when , and

Thanks in advance! - August 26th 2009, 02:53 PMeXist
From what I understand of concave and convex is as follows:

Concave: Points on a graph where the slope is decreasing.

Convex: Points on a graph where the slope is increasing.

This of course is a just a simple explanation, like I said, from what I understand.

So I'd say your looking for all the points where:

These would be the convex set.

These would be the concave set. - August 26th 2009, 02:57 PMDefunkt
at

and , and is continuous in so:

is concave at: , and convex at: ,

Woops, late :X