If a relation is a function, how many y-values can any one x-value have?
Is the Relation a Function? Yes. Domain: {- 10,- 6,5,6,10 } Range: { 2,3,4,7 }
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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.
{ (10,2), (- 10,2), (6,4), (5,3), (- 6,7)}
Examining the ordered pairs, we can see that there is no x-value with multiple y-values. Therefore, the relation is a function. Now let's look for the domain and range of the given relation. The domain of a function is found by listing the relation's x-values. The range is found by listing the relation's y-values.
Domain:& {- 10,- 6,5,6,10 }
Range:& { 2,3,4,7 }
