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. Let me draw a line so we don't get confused with all of the stuff that I wrote here. So when x is greater than 0, what's happening to the second derivative? Remember, the second derivative was equal to 12x times 3x minus 2.