Determine Where the Function Is Increasing and Where It Is $$f ( x ) = - x ^ { 2 } + 2 x$$

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = - x ^ { 2 } + 2 x$$

A) increasing on $( - \infty , 1 )$
decreasing on $( 1 , \infty )$

B) increasing on $( - 1 , \infty )$
decreasing on $( - \infty , - 1 )$

C) increasing on $( 1 , \infty )$
decreasing on $( - \infty , 1 )$

D) increasing on $( - \infty , - 1 )$
decreasing on $( - 1 , \infty )$