Answer:
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
The relation is a function.
Step-by-step explanation:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which no two ordered pairs have the same first component and different second components.
Remember that a function can only take on one output for each input. We cannot plug in a value and get out two values.
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
I did the Vertical Line Test on your given graph. As you can see from the attached screenshot, each vertical line crosses the graph only once. Therefore, the given relation is a function.
The domain of the given relation is the set of x-values, while the range is the set of y-values. You'll have to list the ordered pairs in order to determine the domain and range of the given relation.
Relation: {(-4, -1), (-2, 1), (1, -2), (2, 4), (4, -4)}.
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
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