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

question 262

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
-

• 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: \(( \infty , \infty )\)

Analyze the responses of government and institutions to protests and social movements.

Understand the theoretical frameworks of social movements, including resource mobilization, frame alignment, and relative deprivation theories.

Analyze the relationship between economic conditions and the frequency of strikes.

Recognize the historical peak periods of unionization in the United States and factors affecting union density.

---

Definitions:

Gratification

The pleasure or satisfaction obtained from achieving something desired or fulfilling a need.

Abused Children

Minors who have been subjected to physical, emotional, sexual, or neglectful mistreatment, which significantly affects their health and development.

Low Self-Esteem

A condition characterized by a lack of confidence and negative self-perception.

Perform Poorly

To achieve results below expected standards or benchmarks in any given task or examination.