Express each relation is a table, a graph, and mapping. Then determine the domain and range. 2. {(0,4), (-4,-4), (-2,3), (4,0)}

Please check the explanation.

Step-by-step explanation:

Given the relation

{(0,4), (-4,-4), (-2,3), (4,0)}

Determining the table:

x                  y

0                4

-4               -4

-2                3

4                 0

Mapping

X        Y

0  →     4

-4  →    -4

-2  →      3

4   →      0

It is clear from the table and mapping that the given relation is a function because each input has exactly one output.

In other words, the given relation is a function because there is no duplicated or repeated x-value.

The graph is also attached below.

Determining the domain

We also know that the domain is the set of all the first elements or members of ordered-pairs.

Thus, the domain of the function in ascending order.

Domain: {-4, -4, 0, 4}

Determining the range

We also know that the domain is the set of all the second-elements or members of ordered-pairs.

Thus, the range of the function in ascending order.

Domain: {-4, 0, 3, 4}

it is contrapositive

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