Find the Zeros for the Polynomial Function and Give the Multiplicity

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses
the x-axis or touches the x-axis and turns around, at each zero.
-Crosses the $x$ -axis at $- 1,0$ , and 4 ; lies below the $x$ -axis between $- 1$ and 0 ; lies above the $x$ -axis between 0 and $4 .$

A) $f ( x ) = - x ^ { 3 } + 3 x ^ { 2 } + 4 x$
B) $f ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 4 x$
C) $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - 4 x$
D) $f ( x ) = x ^ { 3 } + 3 x ^ { 2 } - 4 x$