Determine the Domain and the Range of the Function $$f ( x ) = x ^ { 2 } - 12 x + 36$$

question 68

Multiple Choice

Determine the domain and the range of the function.
- $$f ( x ) = x ^ { 2 } - 12 x + 36$$

• A) domain: all real numbers
• range: \(\{ y \mid y \geq 0 \}\)
• B) domain: all real numbers
• range: \(\{ y \mid y \geq 36 \}\)
• C) domain: \(\{ x \mid x \geq - 6 \}\)
• range: \(\{ \mathrm { y } \mid \mathrm { y } \geq 0 \}\)
• D) domain: \(\{ x \mid x \geq 6 \}\)
• range: \(\left\{ y ^ { \mid } \mid y \geq 0 \right\}\)

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Definitions:

Foucault

A French philosopher and social theorist known for his work on power, knowledge, and the social construction of both.

Power

The power or skill to guide or shape the actions of others or the direction of events.

Foucault

Refers to Michel Foucault, a French philosopher and social theorist known for his influence on various disciplines such as sociology, critical theory, and history of ideas, especially for his works on power, knowledge, and discourse.

Disciplining Bodies

Practices and institutions that aim to regulate, control, and shape bodies according to specific norms, often reflecting power dynamics and social control.