You can immediately work out from this that there are two fixed points (at least in the region from [-3,2]).
We can even tell which one is stable and which not. Let's say we start just to the left of the left-hand fixed point, at say
= 2. Well, we can see that the value of
is positive here, which says that
is increasing, which says that we will be moving to the right. If you start just to the right of that fixed point,
is negative, so you will be moving to the left. This is a stable fixed point. Using the same reasoning, you can show that the right hand fixed point is unstable, so we can now put on arrows, and mark the fixed points correctly: