Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x \leq 0 \\ - 4 & \text { if } x > 0 \end{array} ; \right.$

question 507

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x \leq 0 \\ - 4 & \text { if } x > 0 \end{array} ; \right.\) Domain: \(( - \infty , \infty )\), Range: \(\{ - 4,4 \}\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 4 & \text { if } x < 0 \\ - 4 & \text { if } x \geq 0 \end{array} \right.\); Domain: \(( - \infty , \infty )\), Range: \(\{ - 4,4 \}\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 4 x & \text { if } x \leq 0 \\ - 4 x & \text { if } x > 0 \end{array} ; \right.\) Domain: \(\{ - 4,4 \}\), Range: \(( - \infty , \infty )\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } - 4 & \text { if } x \leq 0 \\ 4 & \text { if } x > 0 \end{array} \right.\); Domain: \(\{ - 4,4 \}\), Range: \(( - \infty , \infty )\)

Analyze the impact of input changes on production output and how it affects the firm's costs.

Assess the implications of increasing input usage on a firm's production, costs, and profitability.

Examine the relationship between the marginal product of labor and the scale of input use.

Evaluate the decisions related to input use in relation to market costs and its impact on profits.

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