Use the Intermediate Value Theorem for Polynomials to Show That $f ( x ) = x ^ { 4 } - 9 x ^ { 2 } + 18 ; 1.7$

question 89

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the numbers given.
- $f ( x ) = x ^ { 4 } - 9 x ^ { 2 } + 18 ; 1.7$ and $1.8$

• A) \(f ( 1.7 ) = 0.6579\) and \(f ( 1.8 ) = - 0.6624\)
• B) \(f ( 1.7 ) = 0.3421\) and \(f ( 1.8 ) = 0.6624\)
• C) \(f ( 1.7 ) = - 0.3421\) and \(f ( 1.8 ) = - 0.6624\)
• D) \(f ( 1.7 ) = 0.3421\) and \(f ( 1.8 ) = - 0.6624\)

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Definitions:

Stratum Corneum

The outermost layer of the epidermis, consisting of dead, flattened skin cells that act as a barrier against the external environment.

Keratinized Cells

Cells that are filled with the protein keratin, making them tough and water-resistant, as seen in skin, hair, and nails.

Lunula

The lunula is the crescent-shaped white area at the base of a fingernail or toenail, visible as part of the nail's growth area.

Hair Papilla

A small, cap-shaped cluster of cells located at the base of the hair follicle, playing a crucial role in hair growth.