For what values of x is f(x) concave up and down? Given the graph.
Here is the graph:
The graph above shows f(x) a quartic, so the derivative of it would be a cubic. What points do I use to find what values are concave up and down?
For what values is f(x) concave up and concave down.
The function is similar to this:
In the problem, the f(x) axis is not labelled, and the x-intercepts are not labelled. So I believe you are supposed to approximate the inflection points. (The graph I have is not as symmetric as the picture in the link)
Here the graph is concave down on `(-oo,-1)` , concave up on `(-1,2)` , and concave down on `(2,oo)`
Wouldn't we have to change the original graph to the derivative to find the concavity?