Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 2 \\ 3 & \text { if } x > 1 \end{array} \right.$

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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A) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 2 \\ 3 & \text { if } x > 1 \end{array} \right.$ ; Domain: $\{ - 5,3 \}$ , Range: $( \infty - 2 ] \cup ( 1 , \infty )$
B) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 2 \\ 3 & \text { if } x \geq 1 \end{array} \right.$ ; Domain: $( \infty - 2 ) \cup [ 1 , \infty )$ , Range: $\{ - 5,3 \}$
C) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 2 \\ 3 & \text { if } x > 1 \end{array} \right.$ ; Domain: $( \infty - 2 ] \cup ( 1 , \infty )$ , Range: $\{ - 5,3 \}$
D) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 2 \\ 3 & \text { if } x \geq 1 \end{array} \right.$ ; Domain: $\{ - 5,3 \}$ , Range: $( \infty - 2 ) \cup [ 1 , \infty )$