Determine the Domain and the Range of the Function $$f ( x ) = - x ^ { 2 } + 4 x + 5$$

question 117

Multiple Choice

Determine the domain and the range of the function.
- $$f ( x ) = - x ^ { 2 } + 4 x + 5$$

• A) domain: \(\{ x \mid x \leq - 2 \}\)
• range: \(\{ \mathrm { y } \mid \mathrm { y } \leq 9 \}\)
• B) domain: all real numbers
• range: \(\{ y \mid y \leq - 9 \}\)
• C) domain: all real numbers
• range: all real numbers
• D) domain: all real numbers
• range: \(\{ y \mid y \leq 9 \}\)

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Definitions:

Alternate Identities

Different personalities or identities that an individual may perceive or present, often related to dissociative identity disorder.

Dissociative Identity Disorder

A psychological disorder characterized by the presence of two or more distinct personality states that control a person's behavior at different times.

Alters

In the context of dissociative identity disorder, refers to the distinct identities or personalities that a person may exhibit as part of their condition.

Alternate Personality

A distinct identity within the same individual, typically regarded as a facet of dissociative identity disorder.