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

question 211

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