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Express each relation as a table, a graph, and a mapping. Then determine the domain and range.

{(4,3),(−2,2),(5,−6)}

Short Answer

Expert verified

Domain ={−2,4,5}

Range ={2,3,−6}

Step by step solution

01

Step 1. Given.

Relation{(4,3),(−2,2),(5,−6)}

02

Step 2. What to find?

A table, a graph, a mapping, domain, and range for the given relation.

03

Step 3. Calculation.

Table:We will assign x-coordinates in the first column and the y-coordinate in the second column. So, the table is given by:

xy
-22
43
5-6

Graph:We will plot the ordered pairs in a graph sheet. So, the graph is given by:

Mapping:We will connect the values xin the domain to the values yin the range using lines.

Domain: Domain is the list of the x values = {−2,4,5}

Range: Range is the list of the y values = {2,3,−6}

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