Now the fact that we have this transition from when we're less than 2 thirds, we have a negative second derivative, and when we're greater than 2 thirds, we have a positive second derivative, that tells us that this indeed is an inflection point. That x is equal to 2 thirds is definitely an inflection point for our original function up here. Now we have one more candidate inflection point, and then we're ready to graph. Then once you know all the inflection points and the maximum and minimum, you are ready to graph the function. So let's see if x is equal to 0 is an inflection point. We know that the second derivative is 0 at 0, but what happens above and below the second derivative? So let me do our little test here.