The Graph of a Piecewise-Defined Function Is Given B) C)

question 78

Multiple Choice

The graph of a piecewise-defined function is given. Write a definition for the function.
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• 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) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x + 2 & \text { if } 0 < x \leq 3 \end{array} \right.\)
• 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) \(f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } 0 < x \leq 3 \end{array} \right.\)

Understand the impact of internationalization on macroeconomic policy.

Comprehend conventional monetary and fiscal policies to combat inflation and recession.

Identify the challenges posed by inflationary recessions and strategies to combat them.

Interpret the implications of rational expectations theory for monetary and fiscal policy efficacy.

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Definitions:

Tax Revenues

The income that is collected by governments through taxation.

Progressive Tax

A tax in which the average tax rate rises with income. People with higher incomes will pay a higher percentage of their income in taxes.

Proportional Tax

A tax in which the average tax rate is the same at all income levels. Everyone pays the same percentage of income in taxes.

Regressive Tax

A tax in which the average tax rate falls with income. People with higher incomes will pay a lower percentage of their income in taxes.