1. Representing Functions
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If a relation is a function, how many y-values can an x-value have?
Domain: {-2, -1, 0, 3}
Range: {-3, -2, 2}
Yes, it is a function.
For a relation to be a function, each x-value can only be paired with one y-value, but one y-value can be paired with multiple x-values. In a mapping, the x-values in the domain can only point to one y-value in the range.
In the given mapping, we can see that none of the x-values correspond to multiple y-values. Since all of the values in the domain only point to one value in the range, the relation is a function. Now we can list the elements in the domain and range. Domain:& {-2, -1, 0, 3} Range:& {-3, -2, 2}