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) \(f ( x ) = 0.4 x ^ { 3 } + 8.1\)

Distinguish between the revenue outcomes of monopolies and perfectly competitive firms.

Understand the concept of total revenue maximization.

Interpret graphical data related to revenue and pricing in monopolistic contexts.

Understand the relationship between price, marginal revenue, and demand for a monopolist.

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Definitions:

Missing Value

A data point that is not recorded or is absent in a data set or analysis.

Simple Interest

Interest calculated on the principal amount of a loan or deposit without compounding.

Daily Closing Balance

The total amount in an account at the end of each day, taking into account all transactions and activities of that day.

Bank Account

A financial account maintained by a bank or other financial institution in which the financial transactions between a customer and the bank are recorded.