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Give a Rule for the Piecewise-Defined Function f(x)={x3 if x<1x+4 if x≥1;f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \\ x + 4 & \text { if } x \geq 1 \end{array} ; \right.

Question 262

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} { l l } x ^ { 3 } & \text { if } x < 1 \\ x + 4 & \text { if } x \geq 1 \end{array} ; \right.  Domain:  ( \infty , \infty )  , Range:  ( \infty , 1 )  \cup [ 5 , \infty )   B)   f ( x )  = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \\ x - 4 & \text { if } x \geq 1 \end{array} ; \right.  Domain:  ( \infty , 1 )  \cup [ 5 , \infty )  , Range:  ( \infty , \infty )   C)   f ( x )  = \left\{ \begin{array} { l l } \sqrt [ 3 ] { x } & \text { if } x < 1 ; \text { Domain: } ( \infty , \infty )  , \text { Range: } ( \infty , 1 )  \cup [ 5 , \infty )  \\ x + 4 & \text { if } x \geq 1 \end{array} \right.  D)   f ( x )  = \left\{ \begin{array} { l l } - x ^ { 3 } & \text { if } x < 1 \\ x - 4 & \text { if } x \geq 1 \end{array} ; \right.  Domain:  ( \infty , 1 )  \cup [ 5 , \infty )  , Range:  ( \infty , \infty )


A) f(x) ={x3 if x<1x+4 if x≥1;f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \\ x + 4 & \text { if } x \geq 1 \end{array} ; \right. Domain: (∞,∞) ( \infty , \infty ) , Range: (∞,1) ∪[5,∞) ( \infty , 1 ) \cup [ 5 , \infty )
B) f(x) ={x3 if x<1x−4 if x≥1;f ( x ) = \left\{ \begin{array} { l l } x ^ { 3 } & \text { if } x < 1 \\ x - 4 & \text { if } x \geq 1 \end{array} ; \right. Domain: (∞,1) ∪[5,∞) ( \infty , 1 ) \cup [ 5 , \infty ) , Range: (∞,∞) ( \infty , \infty )
C) f(x) ={x3 if x<1; Domain: (∞,∞) , Range: (∞,1) ∪[5,∞) x+4 if x≥1f ( x ) = \left\{ \begin{array} { l l } \sqrt [ 3 ] { x } & \text { if } x < 1 ; \text { Domain: } ( \infty , \infty ) , \text { Range: } ( \infty , 1 ) \cup [ 5 , \infty ) \\ x + 4 & \text { if } x \geq 1 \end{array} \right.
D) f(x) ={−x3 if x<1x−4 if x≥1;f ( x ) = \left\{ \begin{array} { l l } - x ^ { 3 } & \text { if } x < 1 \\ x - 4 & \text { if } x \geq 1 \end{array} ; \right. Domain: (∞,1) ∪[5,∞) ( \infty , 1 ) \cup [ 5 , \infty ) , Range: (∞,∞) ( \infty , \infty )

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