Answer
Explanation
it fits only Choice D because interval A is symetric raport to 0 and both intervals B and C do not even contain 1/2
and of course, yo can verify |-1/2-1|=|2-1/2|
so f(-1)=f(2)=whatever,, we do not need to calculate f(-1) -f(2)=0
Please excuse my English, and please do improove your communication; here we are a site where using " PLEASE " and " Thank you" is an advantage.