Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 7 x ^ { 3 } - 2 x + 2 ; [ - 1,0 ]$$

question 341

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 7 x ^ { 3 } - 2 x + 2 ; [ - 1,0 ]$$

• A) \(f ( - 1 ) = 3\) and \(f ( 0 ) = - 2\); yes
• B) \(f ( - 1 ) = 3\) and \(f ( 0 ) = 2\); no
• C) \(f ( - 1 ) = - 3\) and \(f ( 0 ) = 2\); yes
• D) \(f ( - 1 ) = - 3\) and \(f ( 0 ) = - 2\); no

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