Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

question 262

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

• A) \(f ( 1 ) = - 5\) and \(f ( 2 ) = 13\); yes
• B) \(f ( 1 ) = 5\) and \(f ( 2 ) = - 13\); yes
• C) \(f ( 1 ) = 5\) and \(f ( 2 ) = 13\); no
• D) \(f ( 1 ) = - 5\) and \(f ( 2 ) = - 13\); no

Appreciate the importance of encouraging communication and sharing information in authentic leadership.

Understand how positive emotions influence followers' problem solving and goal achievement.

Know the levels at which transformational leadership can be applied within an organization.

Understand how transformational leaders motivate followers through innovative and creative encouragement.

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Definitions:

Capital

Financial assets or the financial value of assets, such as funds held in deposit accounts as well as the physical factors of production.

Expansion Path

A curve that shows how the input combinations of a firm change as it increases output, keeping the input ratios constant.

Least-Cost Combination

A production point where the mix of inputs results in the lowest possible cost for a given output level.

Input Prices

The prices of the resources (like labor, materials, and capital) used in the production of goods or services.