Determine a Piecewise-Defined Function for the Graph Shown Below $f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \\ - ( x - 1 ) ^ { 2 } + 1 , & x > 1 \end{array} \right.$

question 68

Multiple Choice

Determine a piecewise-defined function for the graph shown below.

• A) \(f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \\ - ( x - 1 ) ^ { 2 } + 1 , & x > 1 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 0 \\ - ( x - 1 ) ^ { 2 } + 1 , & x \leq 0 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } | x | , & x \geq 1 \\ - x ^ { 2 } , & x \leq 1 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } | x | , & x \geq 0 \\ - x ^ { 2 } , & x \leq 1 \end{array} \right.\)
• E) \(f ( x ) = \left\{ \begin{array} { l l } | x | , & x \leq 1 \\ - ( x - 1 ) ^ { 2 } , & x > 1 \end{array} \right.\)

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