Question

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Question 3(Multiple Choice Worth 2 points)

(Identifying Functions MC)


The graph represents a relation where x represents the independent variable and y represents the dependent variable.


A coordinate plane with points at negative 5 comma negative 4, negative 2 comma 0, 0 comma negative 1, 1 comma 3, and 4 comma 1.


What is the domain of the relation?


{−5, 0, 3, 4}

{−4, −1, 0, 1, 3}

{−5, −2, 0, 1, 4}

{−5, −4, −2, −1, 0, 1, 3, 4}

Answer 1

The Domain of the relationship is the set: {-5, -4, -2, -1, 0, 1, 3, 4} (Answer D)

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 -5 is connected to the y-value -4

the x-value -2 is connected to the y-value -1

the x-value -1 is connected to the y-value 0

the x-value 0 is connected to the y-value 1

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

and the x-value 2 is connected to two y-values: 3 and 4

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-5, -4, -2, -1, 0, 1, 3, 4}