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

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 (-?,0) increasing on (0,?)
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B) increasing on (-?,0) , (1,?) descreasing on (0,1)
C) ??constant on (-?,1) increasing on (1,?)
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D) ?constant on (-?,1) descreasing on (1,?)
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E) ?constant on (-?,0) descreasing on (0,1)
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