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

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: $\{ y \mid y \geq 0 \}$

D) domain: $\{ x \mid x \geq 6 \}$
range: $\left\{ y ^ { \mid } y \geq 0 \right\}$