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

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: $\{ y \mid y \leq 9 \}$