For the Function Find the Maximum Number of Real Zeros $$f ( x ) = - x ^ { 6 } + 8 x ^ { 5 } - x ^ { 2 } - 4 x + 9$$

question 22

Multiple Choice

For the function find the maximum number of real zeros that the function can have, the maximum number of x-intercepts
that the function can have, and the maximum number of turning points that the graph of the function can have.
- $$f ( x ) = - x ^ { 6 } + 8 x ^ { 5 } - x ^ { 2 } - 4 x + 9$$

• A) \(6 ; 6 ; 5\)
• B) \(6 ; 5 ; 5\)
• C) \(6 ; 6 ; 6\)
• D) \(5 ; 5 ; 6\)

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Definitions:

Dopamine Antagonists

Substances that block dopamine receptors, often used in the treatment of psychiatric disorders such as schizophrenia.

Phenothiazines

A class of antipsychotic drugs used to treat mental disorders such as schizophrenia by blocking dopamine receptors in the brain.

Schizophrenia

A mental disorder characterized by distortions in thinking, perception, emotions, language, sense of self, and behavior.

Selective Serotonin Reuptake Inhibitors

A class of drugs commonly prescribed for depression and anxiety disorders that work by increasing serotonin levels in the brain.