Final answer:
The function is continuous on any interval.
Step-by-step explanation:
The function is continuous on an interval if there are no breaks, jumps, or holes in the graph of the function within that interval. In this case, the function is described as a horizontal line, which means it is constant and does not have any breaks or jumps. Therefore, the function will be continuous on any interval, including options a) (0, [infinity]) b) (-[infinity], 0) c) (-[infinity], [infinity]) d) [2, [infinity]).