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

question 94

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:

Highly Industrialized Country

A nation characterized by a significant level of industrialization, with a major portion of its economy based on manufacturing and technology.

Developing Countries

Nations with a lower living standard, underdeveloped industrial base, and low Human Development Index (HDI) relative to other countries.

Ecological Succession

The process by which the structure of a biological community evolves over time, involving species that colonize an ecosystem and sequentially replace each other.

Industrialization

The process of transforming economies from primarily agricultural to ones dominated by industry and machine manufacturing, marked by technological innovation and urban growth.