For each of the following rules for the function f: N N. make a table to investigate the ratio S(2n)/ f(n) for increasing values of n. For each definition of S. write a sentence of the form "When the input value is doubled, the output is (a) S(n) = n (b) S(n) = 5n+1 (c) f(n) = n+ 1 (d) f(n) = n (e) S(n) = 3 + 1 (f) f(n) = 2* (g) S(n) = 2"+1 (h) f(n) = [/n] From Section 4.8: Exercise 2. See partial answers in book to see what kind of answer we're looking for. A reasonable format for the inspection table for each part would be something like this: f(n) f(2n) f(2n)/ f(n) 10 20 40