Determine the Intervals Over Which the Function Is Increasing, Decreasing $$f ( x ) = \left\{ \begin{array} { l } - x ^ { 2 } , x < 1 \\x ^ { 2 } - 2 x + 2 , x \geq 1\end{array} \right.$$

Multiple Choice

Determine the intervals over which the function is increasing, decreasing, or constant. $$f ( x ) = \left\{ \begin{array} { l } - x ^ { 2 } , x < 1 \\x ^ { 2 } - 2 x + 2 , x \geq 1\end{array} \right.$$

A) constant on (- $\infty$ , 0) increasing on (0, $\infty$ )
B) increasing on (- $\infty$ , 0) , (1, $\infty$ ) descreasing on (0, 1)
C) constant on (- $\infty$ , 1) increasing on (1, $\infty$ )
D) constant on (- $\infty$ , 1) descreasing on (1, $\infty$ )
E) constant on (- $\infty$ , 0) descreasing on (0, 1)