   Chapter 9.2, Problem 52E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Postage costs First-class postage for a standard letter is 49 cents for the First ounce or part of an ounce that a letter weighs plus an additional 21 cents for each additional ounce or part of an ounce. Use the table or graph of the postage function, f(x), to determine the following.(a) lim x → 2.5 f ( x ) (b) f ( 2.5 ) (c) Is f ( x ) continuous at 2.5?(d) lim x → 4 f ( x ) (e) f ( 4 ) (f) Is f ( x ) continuous at 4? Weight x Postage f(x) 0 < x ≤ 1 \$0.49 1 < x ≤ 2 0.70 2 < x ≤ 3 0.91 3 < x ≤ 4 1.12 4 < x ≤ 5 1.33 (a)

To determine

The limit of the function limx2.5f(x).

Explanation

Given information:

First class postage for a standard letter is 49 cents for the first ounce or part of an ounce that a letter weighs plus an additional 21 cents for each additional ounce or part of an ounce.

Calculation:

From the graph the value of f(x)=0

(b)

To determine

The value of the function f(2.5).

(c)

To determine

Whether f(x) is continuous at 2.5.

(d)

To determine

The limit of the function limx4f(x).

(e)

To determine

The value of the function f(4).

(e)

To determine

Whether f(x) is continuous at 4.

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