Part 1: Graph piecewise functions from tables and equations. Isabel sells new and used mystery novels online. Her customers are primarily in the United States. She sends up to 10 pounds of books in one shipment. She uses the United States Postal Service’s Media Mail service because it is inexpensive for her customers. Current Media Mail shipping prices for book shipments weighing 10 pounds or less appear below. Weight Not Over (lbs.) Price 0 $0 1 $2.69 2 $3.17 3 $3.65 4 $4.13 5 $4.61 6 $5.09 7 $5.57 8 $6.03 9 $6.49 10 $6.95 a) How much would it cost to ship a package weighing 3.2 pounds? Explain how you arrived at your answer. (3 points) A package weighing 3,2 pounds would have a shipping fee is $4.13. Because the package weighs more than 3 pounds but less than 4 pounds, we must utilize the pricing attributed to 4 pounds instead. b) What type of graph is needed to represent the Media Mail shipping prices as a function of the weight of the books shipped? Explain your thinking. (3 points) To display Media Mail delivery costs as just a function of the mass of the books shipped, a line graph is required. In a line graph, the cost is represented by the y variable, as well as the x values are the mass in pounds. c) Graph the Media Mail shipping prices as a function of the weight of the books shipped. (10 points) We may graph the Media Mail shipping costs versus the mass of the books sent as follows: f(x) = 2.69 + 0.48(x-1) d) What is the domain and range of the graphed function? (3 points) e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. (5 points) f(x) is f(x) = 1.99x + 3. f) Graph the function in part e. (10 points) g) Is your graph discrete or continuous? Explain. (5 points) Continuous because decimals and fractions has to
