Question 3. (5 pts, each) Consider the function :R - Z given by f) =[r] Here, Ir] is the greatest integer n such that ns

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Question 3 5 Pts Each Consider The Function R Z Given By F R Here Ir Is The Greatest Integer N Such That Ns 1 (27.88 KiB) Viewed 32 times

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.)