Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 6 x ^ { 5 } - 7 x ^ { 3 } + 6 x ^ { 2 } - 2$

question 166

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given
integers
- $f ( x ) = 6 x ^ { 5 } - 7 x ^ { 3 } + 6 x ^ { 2 } - 2$ ; between $- 2$ and $- 1$

• A) \(f ( - 2 ) = - 114\) and \(f ( - 1 ) = - 5\); no
• B) \(f ( - 2 ) = - 114\) and \(f ( - 1 ) = 5\); yes
• C) \(f ( - 2 ) = 114\) and \(f ( - 1 ) = - 5\); yes
• D) \(f ( - 2 ) = 114\) and \(f ( - 1 ) = 5\); no

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Definitions:

Uniform Network

A network system where all components operate under the same protocol or standard.

Strong Ties

Relationships marked by close, personal connections and frequent interactions, often within a tight-knit community or network.

Weak Ties

Social connections that are not strong, frequent, or close, often providing unique information or opportunities due to their diverse nature.

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An alliance among individuals, groups, or nations, formed for a specific purpose or to achieve a common goal.