Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = - 3 x ^ { 4 } - 4 x ^ { 3 } + 9 x + 3 ;$

question 114

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the
given integers.
- $f ( x ) = - 3 x ^ { 4 } - 4 x ^ { 3 } + 9 x + 3 ;$ between 1 and 2

• A) \(f ( 1 ) = 5\) and \(f ( 2 ) = - 59\); yes
• B) \(f ( 1 ) = 5\) and \(f ( 2 ) = 59\); no
• C) \(f ( 1 ) = - 5\) and \(f ( 2 ) = - 59\); no
• D) \(f ( 1 ) = - 5\) and \(f ( 2 ) = 59\); yes

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Definitions:

Fixed-position Layout

A manufacturing layout where the product remains stationary, and workers, materials, and equipment are moved to the product site.

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Facility layouts designed around the sequential order of operations for specific products or product families, often seen in manufacturing settings.

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