An overnight delivery service charges $11 for a package that weighs 2 pounds or less. The delivery service charges $3 for each additional pound. How much would it cost to ship an item that weights 5.4 pounds? Show your work. The piecewise function $ f(x) $ is defined as follows:\[ f(x) = \begin{cases} 11 & \text{if } x \leq 2 \\ 11 + 3(x - 2) & \text{if } x > 2 \end{cases} \]### Explanation:1. **For $ x \leq 2 $:** - The function $ f(x) $ equals 11. This means that for any value of $ x $ up to and including 2, the function outputs a constant value of 11.2. **For $ x > 2 $:** - The function expression is $ 11 + 3(x - 2) $. - This represents a linear equation where the slope of the line is 3. The expression $ (x - 2) $ shifts the line rightward on the x-axis. - At $ x = 2 $, this expression equals 11, matching the value of the function for $ x \leq 2 $, ensuring continuity at $ x = 2 $.### Graphical Representation:- If graphed, the function would show a horizontal line at $ f(x) = 11 $ for $ x \leq 2 $.- For $ x > 2 $, the graph would depict a line with a slope of 3 starting from the point (2, 11) and increasing linearly. The line would continue upwards as $ x $ increases.

An overnight delivery service charges $11 for a package that weighs 2 pounds or less. The delivery service charges $3 for each additional pound. How much would it cost to ship an item that weights 5.4 pounds? Show your work.

An overnight delivery service charges $11 for a package that weighs 2 pounds or less. The delivery service charges $3 for each additional pound. How much would it cost to ship an item that weights 5.4 pounds? Show your work.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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