6. Formalizing Relations and Functions
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The first number in each ordered pair is the x-value and the second number is the corresponding y-value.
Domain: {- 2, - 1, 0, 1}
Range: {3, 4, 5, 6}
Mapping:
Is the Relation a Function? Yes
The domain of this relation is the set of unique x-values of the coordinates and the range is the set of unique y-values. Domain:& {- 2, - 1, 0, 1} Range:& {3, 4, 5, 6} To show a relation of (x,y) ordered pairs as a mapping, list all of the unique x-values in one vertical list and all unique y-values in another vertical list. Then, use arrows to connect corresponding x- and y-values.
Because each domain value is mapped to only one range value, this relation is a function.