The appropriate intervals for the domain of the graph, based on the description provided, are:
0 ≤ h ≤ 40; 40 < h ≤ 55
This is because Luca earns his normal rate of $12 per hour for hours worked up to 40, and for hours worked between 40 and 55, he earns an overtime rate of $18 per hour. Therefore, the intervals that capture these conditions are correct.
So the answer is: 0 ≤ h ≤ 40; 40 < h ≤ 55