Use the Intermediate Value Theorem for Polynomials to Show That $f ( x ) = - 7 x ^ { 4 } - 9 x ^ { 3 } - 4 x - 5 ; - 1$

question 9

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the
numbers given.
- $f ( x ) = - 7 x ^ { 4 } - 9 x ^ { 3 } - 4 x - 5 ; - 1$ and 0

• A) \(f ( - 1 ) = - 1\) and \(f ( 0 ) = 5\)
• B) \(f ( - 1 ) = 1\) and \(f ( 0 ) = - 5\)
• C) \(f ( - 1 ) = - 1\) and \(f ( 0 ) = - 5\)
• D) \(f ( - 1 ) = 2\) and \(f ( 0 ) = - 4\)

Understand the gender dynamics and the role of women within Puritan society.

Analyze the economic foundations of New England colonies in the seventeenth century.

Understand the economic and religious dynamics of New England in the sixteenth and seventeenth centuries.

Identify the factors that led to the publication of captivity narratives.

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Definitions:

Contribution Margin

The amount of revenue remaining after deducting variable costs, which can be used to cover fixed costs and contribute to profit.

Fixed Costs

Costs that do not change with the level of production output, such as rent, salaries, and insurance.

Variable Selling

Costs that change in proportion to the volume of goods or services sold.

Administrative Expense

Costs related to the general operation of a company that are not directly tied to a specific department or product, like salaries of executive officers and support staff.