Can anyone me on this ap calc question? ?

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

Prior to the creation of the us constitution, the general view of representative government is that it only worked in very small-scale environments- essentially a city-state or smaller. otherwise, the actual reflection of popular will declined in the representatives (ie, the difference between 1 representative per 100 citizens and 1 representative per 10,000 citizens), and generally the whole process became inefficient and self-destructive.james madison, however, was like 'no beezy'. he remarked that small republics were prone to faction and thus collapsed quickly. a large republic, he said, had so many interests and factions that none could rule, and thus they had to moderate and compromise.