Suppose $f : \mathbf { R } \rightarrow \mathbf { Z }$

question 56

Short Answer

Suppose $f : \mathbf { R } \rightarrow \mathbf { Z }$ where $f ( x ) = \lceil 2 x - 1 \rceil$ .
(a) If A= $\{ x \mid 1 \leq x \leq 4 \}$ , find $f ( A )$ .
(b) If B={3,4,5,6,7} , find $f ( B )$ .
(c) If C={-9,-8} , find $f ^ { - 1 } ( C )$
(d) If D={0.4,0.5,0.6} , find $f ^ { - 1 } ( D )$

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Definitions:

Economic Conditions

The state of an economy at a given time, including factors like inflation, unemployment, and GDP growth.

Federal Budget

The government budget for a fiscal year that outlines the projected spending and revenue of the federal government.

Budget Deficits

The condition when a government, organization, or individual spends more money than it receives over a certain period, requiring borrowing to bridge the gap.

Multiplier Effect

An economic phenomenon where an initial injection of spending leads to increased income and consumption, further amplifying the initial economic impact.