Give a rule for the piecewise-defined function. Then give the domain and range.
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A) $f ( x ) = \left\{ \begin{array} { l l } \sqrt [ 3 ] { x } & \text { if } x

Question

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

Quizplus · Accepted Answer

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

Give a Rule for the Piecewise-Defined Function B) f(x)={−x3 if x<1x−2 if x≥1f ( x ) = \left\{ \begin{array} { l l } - x ^ { 3 } & \text { if } x < 1 \\ x - 2 & \text { if } x \geq 1 \end{array} \right.f(x)={−x3x−2​ if x<1 if x≥1​

Give a Rule for the Piecewise-Defined Function B) $f ( x ) = \left\{ \begin{array} { l l } - x ^ { 3 } & \text { if } x < 1 \\ x - 2 & \text { if } x \geq 1 \end{array} \right.$