Solved

Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.$

Question 344

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
- $Give a rule for the piecewise-defined function. Then give the domain and range. - A) f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right. ; Domain: ( - \infty - 3 ) \cup [ 4 , \infty ) , Range: \{ - 5,4 \} B) f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right. Domain: ( - \infty - 3 ] \cup ( 4 , \infty ) , Range: \{ - 5,4 \} C) f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right. Domain: \{ - 5,4 \} , Range: ( - \infty - 3 ] \cup ( 4 , \infty ) D) f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right. ; Domain: \{ - 5,4 \} , Range: ( - \infty - 3 ) \cup [ 4 , \infty )$

A) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.$ ; Domain: $( - \infty - 3 ) \cup [ 4 , \infty )$ , Range: $\{ - 5,4 \}$
B) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.$ Domain: $( - \infty - 3 ] \cup ( 4 , \infty )$ , Range: $\{ - 5,4 \}$
C) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.$ Domain: $\{ - 5,4 \}$ , Range: $( - \infty - 3 ] \cup ( 4 , \infty )$
D) $f ( x ) = \left\{ \begin{array} { c l } - 5 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.$ ; Domain: $\{ - 5,4 \}$ , Range: $( - \infty - 3 ) \cup [ 4 , \infty )$