If a relation is a function, how many y-values can each x-value have?
Function: no Domain: {0,4,5,7 } Range: {- 2,- 1,5,9,12 }
Practice makes perfect
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.
(4,5), (5, - 1), ( 0, 12), ( 0, - 2), (7,9)
Examining the ordered pairs, we can see that there is at least one x-value with multiple y-values. Therefore, the relation is not a function.
Now let's look for the domain and range of the given coordinate pairs. The domain of a relation is found by listing the relation's x-values. The range is found by listing the relation's y-values.
Domain:& {0,4,5,7 }
Range:& {- 2,- 1,5,9,12 }
