The domain and range of the give relation can be determined by listing the x values for the domain and listing the y values from the range. If each x corresponds to only one y, it is a function.
Domain of a relation refers to all the input values of the relation. Hence, domain is the set of all x coordinates. In the given data, the domain is:
{-3, -1, 0, 1, 2}
Range of a relation refers to all the output values of the relation. Hence, range is the set of all y coordinates. In the given data, the range is:
{4, 2, 0, -2}
In order for a relation to be a function, each x must correspond to only one value of y i.e., an x has one y value. For example, for a relation x = 4 and y = 1,2, hence it is not a function.
In our relation, each x value has only one y value, it is a function.
Mapping the relation can also give us the answer in a simpler way.
As there is one arrow leaving each x value, it is a function. (If two arrows are leaving an x value it is not a function.
Hence, for the relation given, Domain: {-3, -1, 0, 1, 2}, Range: {4, 2, 0, -2} and it is function.
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