Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 5 x ^ { 3 } - 7 x + 7$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given
integers
- $f ( x ) = 5 x ^ { 3 } - 7 x + 7$ ; between $- 2$ and $- 1$

A) $f ( - 2 ) = 19$ and $f ( - 1 ) = - 9$ ; yes
B) $f ( - 2 ) = - 19$ and $f ( - 1 ) = 9$ ; yes
C) $f ( - 2 ) = 19$ and $f ( - 1 ) = 9$ ; no
D) $f ( - 2 ) = - 19$ and $f ( - 1 ) = - 9$ ; no