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

question 208

Short Answer

Suppose $f : \mathbf { R } \rightarrow \mathbf { R }$ where $f ( x ) = \lfloor x / 2 \rfloor$
(a) If $S = \{ x \mid 1 \leq x \leq 6 \}$ , find f(S) .
(b) If T={3,4,5} , find $f ^ { - 1 } ( T )$

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Definitions:

Holder in Due Course

A party in possession of a negotiable instrument, such as a check or promissory note, acquired in good faith and thus protected against many defenses.

Negotiable Instrument

An official document certifying the payment of a particular sum of cash, either to be paid on demand or at an agreed-upon time, with the payer's name mentioned in the document.

Good Faith

The honest intention to act without taking an unfair advantage over another party, typically implied in agreements and transactions to ensure fairness and integrity.

Defects

Imperfections or faults in a product or structure that may affect its usability, safety, or function.