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

question 394

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)

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