Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = - 9 x ^ { 4 } + 2 x ^ { 3 } + 8 x + 1 ; [ 1,2 ]$$

question 292

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = - 9 x ^ { 4 } + 2 x ^ { 3 } + 8 x + 1 ; [ 1,2 ]$$

• A) \(f ( 1 ) = 2\) and \(f ( 2 ) = - 111\); yes
• B) \(f ( 1 ) = 2\) and \(f ( 2 ) = 111\); no
• C) \(f ( 1 ) = - 2\) and \(f ( 2 ) = 111\); yes
• D) \(f ( 1 ) = - 2\) and \(f ( 2 ) = - 111\); no

Recognize the role of familial and sociocultural factors in the development of personality disorders.

Understand the relationship between neurological factors, such as damage to the prefrontal cortex, and personality disorders.

Identify the challenges faced by therapists in treating clients with borderline personality disorder.

Identify the symptoms and behaviors associated with specific personality disorders.

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