Answer
The relation is a function.
Domain: All real numbers
Range: All real numbers
Work Step by Step
If given a relation in the form of a graph, you want to apply the vertical line test. If you can draw a vertical line through every point that forms the relation and it only intersects the line once, it is a function. Meaning, that every value of x is mapped to exactly one value of y.
As for the domain, which describes the x-values, the graph continues to the left and right infinitely because the arrows indicate so. The domain will cover every x-value from negative infinity to positive infinity-- we call this all real numbers.
As for the range, which describes the y-values, the graph continues upward and downward infinitely because the arrows indicate so. The range will cover every y-value from negative infinity to positive infinity-- we call this all real numbers.