Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 7 x ^ { 3 } - 4 x ^ { 2 } + 9 x + 3$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given
integers
- $f ( x ) = 7 x ^ { 3 } - 4 x ^ { 2 } + 9 x + 3$ ; between $- 1$ and 0

A) $f ( - 1 ) = 17$ and $f ( 0 ) = 3$ ; no
B) $f ( - 1 ) = - 17$ and $f ( 0 ) = - 3$ ; no
C) $f ( - 1 ) = - 17$ and $f ( 0 ) = 3$ ; yes
D) $f ( - 1 ) = 17$ and $f ( 0 ) = - 3$ ; yes