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

question 172

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

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