Match the Given Graph with Its Polynomial Function $f ( x ) = x ^ { 5 } + 7 x ^ { 4 } - x ^ { 3 } - 40 x ^ { 2 } + 2 x + 16$

question 335

Multiple Choice

Match the given graph with its polynomial function.Choose the one alternative that best completes the statement or answers the question.
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• A) \(f ( x ) = x ^ { 5 } + 7 x ^ { 4 } - x ^ { 3 } - 40 x ^ { 2 } + 2 x + 16\)
• B) \(f ( x ) = - 2 x ^ { 5 } + 7 x ^ { 4 } + 9 x ^ { 3 } - 40 x ^ { 2 } + 4 x + 16\)
• C) \(f ( x ) = 2 x ^ { 6 } + 9 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 16\)
• D) \(f ( x ) = - x ^ { 6 } + 7 x ^ { 5 } - x ^ { 2 } - 2 x + 16\)

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Definitions:

Lophophore

A unique feeding structure bearing ciliated tentacles, found in certain marine invertebrates such as bryozoans and brachiopods.

Arthropods

A diverse group of invertebrate animals with exoskeletons, segmented bodies, and paired jointed appendages, including insects, arachnids, and crustaceans.

Antheridia

Male reproductive structures in ferns, mosses, and some algae, which produce and release sperm.

Archegonia

Egg-producing structures, as in the moss life cycle.