Match the Given Graph with Its Polynomial Function $f ( x ) = - x ^ { 5 } - 20 x ^ { 4 } - 100 x ^ { 2 } + 100 x$

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) $f ( x ) = - x ^ { 5 } - 20 x ^ { 4 } - 100 x ^ { 2 } + 100 x$
B) $f ( x ) = x ^ { 5 } - 10 x ^ { 4 } - 100 x ^ { 2 } + 100$
C) $f ( x ) = - x ^ { 6 } + 10 x ^ { 4 } - 100 x ^ { 2 } - 100$
D) $f ( x ) = - x ^ { 6 } + 20 x ^ { 4 } - 100 x ^ { 2 } + 100$