Suppose that it is given to you that
Then the first relative extremum (from the left) for occurs at
The function has a relative at this point.

The second relative extremum (from the left) for occurs at
The function has a relative at this point.

The third relative extremum (from the left) for occurs at
The function has a relative at this point.

The first inflection point (from the left) for occurs at

The second inflection point (from the left) for occurs at

You can earn partial credit on this problem.