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State the domain of the relation.

A. {−4, −3, −1, 0, 3, 4, 5}
B. {−3, −2, −1, 0, 1, 2}
C. {−3, 2}
D. {−4, 1, 5}

State the domain of the relation. A. {−4, −3, −1, 0, 3, 4, 5} B. {−3, −2, −1, 0, 1, 2} C-example-1
User Styko
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Answer:

The Domain of the relationship is the set: {-3, -2, -1, 0, 1, 2} (Answer B)

Explanation:

Let's recall that the Domain of a relationship is the set of values in the starting set for which there is a correspondent value in the final set.

In this case, we have a set of numbers on the x axis, which are connected with values in the y axis as indicated by the plotting of the points on the (x,y) plane.

The Domain will consist of all those x-values for which we see in the given plot connected to a corresponding y-value.

So, we see that:

the x-value -3 is connected to the y-value -4

the x-value -2 is connected to the y-value -3

the x-value -1 is connected to the y-value -1

the x-value 0 is connected to the y-value 0

the x-value 1 is connected to the y-value 3

and the x-value 2 is connected to two y-values: 4 and 5

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-3, -2, -1, 0, 1, 2}

User Mike Graf
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