In an oven safe skillet, melt your butter or coconut oil. Also preheat your oven on broil.
While the pan is warming up, dice 1/2 of one large sweet potato into 1/2 inch cubes. Then dice your bell pepper and onion into 1/2 inch pieces.
Add to pan and cook for around 8-12 minutes, until tender. Then make four "holes" in the veggies for your eggs. Add eggs.
Place your pan into the oven about 6 inches from the top broilers and cook for 2-6 minutes. 2 minutes the yolks will be runny, 4 minutes yolks will be mostly hard and 6 minutes your yolks will be d.o.n.e.
Divide and serve.