Sketch the Graphs of Inverse Functions $f ( x ) = \frac { x } { 3 } , f ^ { - 1 } ( x ) = 3 x$

question 13

Multiple Choice

Sketch the graphs of inverse functions $f ( x ) = \frac { x } { 3 } , f ^ { - 1 } ( x ) = 3 x$ in the same coordinate plane and show that the graphs are reflections of each other in the line $y = x$

• A) \(\begin{array} { l l l l } x & - 3 & 0 & 3 \\ f ( x ) & - 1 & 0 & 1 \end{array}\) \(\begin{array} { l l l l } x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x ) & - 3 & 0 & 3 \end{array}\)
• B) \(\begin{array} { l l l l } x & - 2 & 0 & 3 \\ f ( x ) & - 1 & 0 & 1 \end{array}\) \(\begin{array} { l l l l } x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x ) & - 3 & 0 & 3 \end{array}\)
• C) \(\begin{array} { l l l l } x & - 3 & 0 & 3 \\ f ( x ) & - 1 & 0 & 1 \end{array}\) \(\begin{array} { l l l l } x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x ) & - 3 & 2 & 3 \end{array}\)
• D) \(\begin{array} { l l l l } x & - 3 & 0 & 0 \\ f ( x ) & - 1 & 0 & 1 \end{array}\) \(\begin{array} { l l l l } x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x ) & - 3 & 0 & 3 \end{array}\)
• E) \(\begin{array} { l l l l } x & - 3 & 0 & 3 \\ f ( x ) & - 1 & 0 & 1 \end{array}\) \(\begin{array} { l l l l } x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x ) & - 2 & 0 & 3 \end{array}\)

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Definitions:

Fixed Manufacturing Overhead

Costs that do not vary with the level of production output, such as rent, salaries of supervisory staff, and equipment depreciation.

Absorption Costing

An approach in accounting that factors in every production cost, from raw materials and direct labor to both kinds of manufacturing overheads, variable and fixed, into the price of a product.

Net Operating Income

The profit generated from a company's core business operations, excluding expenses and revenues from non-operating activities.

LIFO

Last In, First Out, an inventory valuation method where the most recently produced items are recorded as sold first.