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

question 214

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: \(\{ y \mid y \leq 9 \}\)
• 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:

Decibels

A logarithmic unit of measurement that expresses the magnitude of a physical quantity (originally sound intensity) relative to a specified or implied reference level.

Immanuel Kant

A German philosopher from the 18th century, renowned for his critical philosophy that includes the Critique of Pure Reason, emphasizing the role of skepticism and the limits of human understanding.

Sensory Experience

The subjective experience of perceiving objects or events via the senses, including sight, sound, taste, touch, and smell.

Perception

How people systematically process and analyze their sensory data to interpret and give value to their immediate environment.