Reflect 1.12 For each of the following functions, make a table of some values [if such a table is not given). plot some points on the graph of the function (if a graph is not given], and use both the table and the graph to discuss the rate of change of each function. To what major family of functions does each relationship belong? How did you decide? o. The function that associates to b. The 2010 Census shows that the input * the output y given by Smallville has a population of = 5x' + 3. 40,000 people. Social scientists predict that Smallville will expe rience a growth rate of 50% per year over the next 20 years. Let P be the function such that P[t) is the predicted population of Smallville t years from now (for t between 0 and 20). C. A movie theater has operating d. The function whose input-output costs of $1025 per day. Tickets table is shown below: cost $7.50 each. The theater's D M profit each day depends on the number of tickets sold. Let Pbe 7 15.29 the function such that P(7) is 14 15.43 the profit that the movie theater 21 15.57 will make on a day when it sells 28 15.71 T tickets. 35 15.85 e. The function whose graph is A. Fred is deciding which size of shown below: pizza is the best buy. He won- ders how the area of the pizza 70 is related to its diameter. Let A be the function such that A(r] 50 40 is the area of a circular pizza of 30 radius r. 30 10