Use the Intermediate Value Theorem for Polynomials to Show That $f ( x ) = 3 x ^ { 5 } + 4 x ^ { 3 } - 9 x ^ { 2 } + 2 ; - 1$

Multiple Choice

Use the intermediate value theorem for polynomials to show that the polynomial function has a real zero between the
numbers given.
- $f ( x ) = 3 x ^ { 5 } + 4 x ^ { 3 } - 9 x ^ { 2 } + 2 ; - 1$ and 0

A) $f ( - 1 ) = - 13$ and $f ( 0 ) = 3$
B) $f ( - 1 ) = 14$ and $f ( 0 ) = 2$
C) $f ( - 1 ) = 14$ and $f ( 0 ) = - 2$
D) $f ( - 1 ) = - 14$ and $f ( 0 ) = 2$