Solve the Problem $f ( x ) = x ( x - 2 ) ^ { 2 } ( x - 1 )$

question 64

Multiple Choice

Solve the problem.
-Which of the following polynomial functions might have the graph shown in the illustration below?

• A) \(f ( x ) = x ( x - 2 ) ^ { 2 } ( x - 1 )\)
• B) \(f ( x ) = x ^ { 2 } ( x - 2 ) ^ { 2 } ( x - 1 ) ^ { 2 }\)
• C) \(f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 1 )\)
• D) \(f ( x ) = x ( x - 2 ) ( x - 1 ) ^ { 2 }\)

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Definitions:

Fluid-filled Sacs

Structures in organisms, such as bursae or cysts, containing liquid within a membranous enclosure, serving various physiological functions.

Double-Membrane Organelles

Cellular components surrounded by two lipid bilayers, including the nucleus, mitochondria, and chloroplasts in plants, playing various roles in cellular functioning.

Photosynthesis

The method through which green plants and certain organisms utilize sunlight to produce nutrients from carbon dioxide and water, releasing oxygen as a secondary product.

Plastids

Organelles found in the cells of plants and algae that are responsible for photosynthesis, storage of products like starch, and the synthesis of many types of molecules.