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

Multiple Choice

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

A) domain: $\{ x \mid x \leq 1 \}$
range: $\{ \mathrm { y } \mid \mathrm { y } \leq 1 \}$

B) domain: all real numbers
range: $\{ y \mid y \leq 1 \}$

C) domain: $\{ x \mid x \leq - 1 \}$
range: $\{ y \mid y \leq 1 \}$

D) domain: all real numbers
range: $\{ y \mid y \leq - 1 \}$