Determine Whether the Intermediate Value Theorem Guarantees That the Function$$f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 14 x + 9 ; [ 1,2 ]$$

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Determine Whether the Intermediate Value Theorem Guarantees That the Function $f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 14 x + 9 ; [ 1,2 ]$