The postage charged for first-class mail is a function of its weight. The U.S. Postal Service uses the following table to describe the rates.
Weight Increment ______________________ Rate ($)
First ounce or fraction of an ounce .................. 0.49
Each additional ounce or fraction ................... 0.21
(a) Convert this table to a piecewise defined function that represents postage for letters weighing between 0 and 4 ounces, using x as the weight in ounces and P as the postage in cents.
(b) Find P(1.2) and explain what it means.
(c) Give the domain and range of P as it is defined above.
(d) Find the postage for a 2-ounce letter and for a 2.01-ounce letter?