Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-Which of the following polynomial functions might have the graph shown in the illustration below?

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