Local Minimums and Maximums

I'm not really understanding how to do this problem.

Quote:

For

the function

is defined by

On Which two intervals is the function increasing?

___to___

and

___to___

Find the region in which the function is positive?

___to___

Where does the function achieve it's minimum?

___

My first step is to take the derivative and find the critical numbers.

But what I don't get is:

What does this mean?

Quote:

For

Is a different way of saying find where the function is increasing?

Quote:

Find the region in which the function is positive?