1. Representing Functions
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If a relation is a function, how many y-values can an x-value have?
Domain: {-8, -7, -4}
Range: {2, 3, 5, 6}
No, it isn't 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 at least one of the x-values corresponds to multiple y-values. Since not all of the values in the domain only point to one value in the range, the relation is not a function. Now we can list the elements in the domain and range. Domain:& {-8, -7, -4} Range:& {2, 3, 5, 6}