If you consider the definition of "Facility" as "something that permits the easier performance of an action" the question makes sense, although it seems that this teacher could have worded this question differently to make it easier to understand.
As for the question, you can look at it in two ways: First, as mentioned in the link provided above, you can say that boolean logic, comparisons and basic math are the basic programming functions and other advanced programming functions have been created to make programming the PLC easier.
Alternatively, you can say that the basic function of the PLC is to control using discrete and analog I/O, but that today's PLC can perform advanced functions beyond the basic control function.
OZEE's statement is correct. Typically, we will not do your homework for you, but we will give you hints. You will need to figure out what you instructor wants and then do the research to figure out what the advanced functions are.
