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

Question

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

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

Determine the Intervals Over Which the Function Is Increasing,decreasing,or Constant f(x)={−x2,x<1x2−2x+2,x≥1f ( x ) = \left\{ \begin{array} { l } - x ^ { 2 } , x < 1 \\x ^ { 2 } - 2 x + 2 , x \geq 1\end{array} \right.f(x)={−x2,x<1x2−2x+2,x≥1​

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