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 (-$\infty$, 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)

Quizplus · Accepted Answer

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 (-$\infty$, 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)

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