Write an Equation for a Function That Has a Graph $y = x ^ { 3 }$

question 111

Short Answer

Write an equation for a function that has a graph with the given characteristics.
-The shape of $y = x ^ { 3 }$ is shifted 8.1 units to the right and then vertically shrunk by a factor of 0.4 .
A) $f ( x ) = 0.4 ( x - 8.1 ) ^ { 3 }$
B) $f ( x ) = 8.1 ( x - 0.4 ) ^ { 3 }$
C) $f ( x ) = 0.4 ( x + 8.1 ) ^ { 3 }$
D) $f ( x ) = 0.4 x ^ { 3 } + 8.1$

• A) \(f ( x ) = 0.4 ( x - 8.1 ) ^ { 3 }\)
• B) \(f ( x ) = 8.1 ( x - 0.4 ) ^ { 3 }\)
• C) \(f ( x ) = 0.4 ( x + 8.1 ) ^ { 3 }\)
• D) \(f ( x ) = 0.4 x ^ { 3 } + 8.1\)

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Definitions:

Fixed Costs

Costs that remain constant regardless of how much is produced or sold, including expenses like rent, salaries, and insurance.

Relevant Range

The span of activity or volume where the specific assumptions of cost behavior are considered valid.

Break-even Point

The level of production or sales at which total revenues equal total costs, resulting in neither profit nor loss.

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A second marriage refers to the act of getting married again after a previous marriage has ended, either through divorce or the death of a spouse.