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:

Interest Rates

The cost of borrowing money, typically expressed as a percentage of the amount lent, deposited, or borrowed.

Liquidity Preference Theory

The theory that investors prefer to have their resources in liquid forms, influencing interest rates and financial market behavior.

Yield

The income return on an investment, typically expressed as a percentage, indicating the interest or dividends received.

Long-Term Corporate Bonds

Bonds issued by corporations with maturities longer than ten years, offering fixed interest payments.