Find the Rule That Defines Each Piecewise-Defined Function B) C)

question 230

Multiple Choice

Find the rule that defines each piecewise-defined function.
-

• A) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 < x \leq 3 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } x > 0 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } x \geq 0 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } x > 0 \end{array} \right.\)

---

Definitions:

Three-Dimensional Images

Visual representations that provide the perception of depth, making objects appear solid and spatially located.

Major Structures

Prime components or frameworks of a system, piece of architecture, or the human body.

Intelligence Quotient

A numerical measure of a person's cognitive abilities relative to their age group.

Average Performance

A level of performance that falls within the middle range of a distribution or scale, indicating neither exceptional nor poor abilities.