The domain and range of the relation represented by the graph include;
Domain = (-∞, ∞)
Range = [-1, ∞).
Yes, the relation is a function.
In Mathematics and Euclidean Geometry, a domain is the set of all real numbers (x-values) for which a particular relation or function is defined.
A range is the set of all real numbers that connects with the elements of a domain for any function, usually read from bottom to top.
By critically observing the set of ordered pairs shown in above, we can logically deduce the following domain and range:
Domain = (-∞, ∞), -∞ < x < ∞, or all real numbers.
Range = [-1, ∞), -1 ≤ y < ∞, or y ≥ -1
In conclusion, the graph of this relation represents an absolute value function because each of the input values are uniquely mapped to exactly one output value.