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

Multiple Choice

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

A) domain: all real numbers
range: $\{ \mathrm { y } \mid \mathrm { y } \geq - 36 \}$

B) domain: $\{ x \mid x \geq 6 \}$
range: $\{ y \mid y \geq 36 \}$

C) domain: $\{ x \mid x \geq - 6 \}$
range: $\{ y \mid y \geq - 36 \}$

D) domain: all real numbers
range: $\{ y \mid y \geq 36 \}$