Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = - 3 x ^ { 4 } - 4 x ^ { 3 } + 9 x + 3 ;$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the
given integers.
- $f ( x ) = - 3 x ^ { 4 } - 4 x ^ { 3 } + 9 x + 3 ;$ between 1 and 2

A) $f ( 1 ) = 5$ and $f ( 2 ) = - 59$ ; yes
B) $f ( 1 ) = 5$ and $f ( 2 ) = 59$ ; no
C) $f ( 1 ) = - 5$ and $f ( 2 ) = - 59$ ; no
D) $f ( 1 ) = - 5$ and $f ( 2 ) = 59$ ; yes