Please help me with this Concavity homework

[DKM]

Refer to the graph of f:

Find the intervals where f is concave upward and the intervals where f is concave downward.

I think this graph is much trickier than other graphs about concavity please someone help me thank you very much

 

[mmm4444bot]

View attachment 8250

Refer to the graph of f:

Find the intervals where f is concave upward and the intervals where f is concave downward.

I think this graph is much trickier than other graphs about concavity …

It seems like you've already studied other graphs and their concavities. Would you say that you understand the graphical meaning of concavity? That is, you already know what a concave-up curve looks like and what a concave-down curve looks like, yes?

In this exercise, they show you the graph of some function f over the domain 0≤x≤12.

They have divided this domain into nine sub-intervals, as shown by the dotted lines.

Look at the curve within each of these sub-intervals, and decide whether the curve there appears concave-up or concave-down.

You will end up with nine answers, one for each sub-interval. For each answer, you need to state both the sub-interval and the concavity.

I'll do the first one for you: 0<x<1 concave-up

If you need more help, please post a specific question about why you're stuck. :cool: