Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = - 6 x ^ { 4 } - 3 x ^ { 2 } + 6 ; [ - 1,0 ]$$

question 170

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = - 6 x ^ { 4 } - 3 x ^ { 2 } + 6 ; [ - 1,0 ]$$

• A) \(f ( - 1 ) = 3\) and \(f ( 0 ) = 7\); no
• B) \(f ( - 1 ) = - 3\) and \(f ( 0 ) = - 6\); no
• C) \(f ( - 1 ) = 3\) and \(f ( 0 ) = - 6\); yes
• D) \(f ( - 1 ) = - 3\) and \(f ( 0 ) = 6\); yes

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Definitions:

Newcomb (1960)

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Schachter (1959)

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