Ordered pairs:(1,- 4), (3,6), (5,0), (7,6), (7,8) Relation: Not a function.
Practice makes perfect
A mapping diagram illustrates how each element in the domain is paired with an element in the range. An ordered pair is a set of numbers written in the form (x,y), where x is a number from the input and y is a number from the output.
Looking at where the arrows start and end, we can see the x-coordinates and their corresponding y-coordinates. We get the ordered pairs by pairing these values.
(1,- 4), (3,6), (5,0), (7,6), (7,8)
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 input can only point to one y-value in the output.
In the given mapping, we can see that 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.
