   Chapter 2.1, Problem 87E

Chapter
Section
Textbook Problem

Postal Regulations In 2012, the postage for parcels sent by first-class mail was raised to $1.95 for any parcel weighing less than 4 oz or fraction thereof and 17¢ for each additional ounce or fraction thereof Any parcel not exceeding 13 oz may be sent by first-class mail. Letting x denote the weight of a parcel in ounces and f(x) the postage in dollars, complete the following description of the “postage function” f. f ( x ) = { S 1.95 i f 0 < x < 4 S 2.12 i f 4 ≤ x < 5 ⋮ ? i f x = 13 a. What is the domain of f? b. Sketch the graph of f? (a) To determine To evaluate: The domain of the function f . Explanation Given: The postage function f is given by, f(x)={$1.95if0<x<4$2.12if4x<5?ifx=13 Where f(x) the postage in dollars, x denotes the weight of parcel Calculation: The postage function f is given by, f(x)={$1.95if0<x<4$2.12if4x<5?ifx=13 (1) Where f(x) the postage in dollars, x denotes the weight of parcel For the parcel weighing less than 4oz or fraction then raise$1.95 and add 17 cent for each additional ounce or fraction.

f(x)={\$1

(b)

To determine

To sketch: The graph of the function f

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