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

question 124

Multiple Choice

Find the rule that defines each piecewise-defined function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } 0 < x \leq 3 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x + 2 & \text { if } 0 < x \leq 3 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x - 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 \leq x \leq 3 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } 0 < x \leq 3 \end{array} \right.\)

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Definitions:

Behavior

The actions or reactions of an object or organism, often in response to its environment or stimuli.

Alternative Explanations

Other possible interpretations or reasons that could account for observed outcomes or phenomena, challenging the initial hypothesis.

Cook And Campbell

Researchers known for their contributions to the field of methodology, particularly regarding experimental design and validity.

Temporal Precedence

Refers to the sequence in which events occur, indicating that one event happens before another, allowing for the possibility of establishing a causal relationship.