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

{(5,−7),(−1,4),(0,−5),(−2,3)}

Short Answer

Expert verified

Domain ={−2,−1,0,5}

Range ={−7,−5,3,4}

Step by step solution

01

Step 1. Given.

Relation{(5,−7),(−1,4),(0,−5),(−2,3)}

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
-23
-14
0-5
5-7

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 valuesy in the range using lines.

Domain: Domain is the list of the x values ={−2,−1,0,5}

Range: Range is the list of the y values ={−7,−5,3,4}

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