Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

question 262

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 4 x - 7 ; [ 1,2 ]$$

• A) \(f ( 1 ) = - 5\) and \(f ( 2 ) = 13\); yes
• B) \(f ( 1 ) = 5\) and \(f ( 2 ) = - 13\); yes
• C) \(f ( 1 ) = 5\) and \(f ( 2 ) = 13\); no
• D) \(f ( 1 ) = - 5\) and \(f ( 2 ) = - 13\); no

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