For Each Partial Function, Determine Its Domain, Codomain, Domain of Definition

question 158

Short Answer

for each partial function, determine its domain, codomain, domain of definition, set of values for which it is undefined or if it is a total function:
- $$f : \mathbf { Z } \times \mathbf { Z } \rightarrow \mathbf { Z } , \text { where } f ( m , n ) = m n$$

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Definitions:

Broad Plains

Expansive, flat areas of land with minimal elevation change, often found in the interior regions of continents.

Floodplain

The flat area adjacent to a river, prone to flooding during periods of high discharge, often fertile due to the deposition of sediments.

Delta

A landform created at the mouth of a river where it deposits sediment as it flows into another water body, such as an ocean or lake.

Waterfall

A steep descent of water within a stream, such as the place where it crosses a cliff or steep ledge.