Question 3. (5 pts, each) Consider the function :R - Z given by f) =[r] Here, Ir] is the greatest integer n such that ns
Posted: Thu May 12, 2022 7:02 am
Question 3. (5 pts, each) Consider the function :R - Z given by f) =[r] Here, Ir] is the greatest integer n such that nsr. This is also called the "floor" ofr, obtained by rounding r down to the nearest integer. A. Show that is surjective. (Recall that "surjective" and "onto" mean the same thing.) B. Show that f is not injective. (Recall that "injective" and "one-to-one" mean the same thing.)