Yes, the relation is a function
The domain of the relation is {-3, 2}
The range of the function is {-1, -5}
What is domain and range?
The domain of a function is the set of all possible input values for which the function is defined. In the graph, the values in the x-axis started from -3 to 2, since both has a closed circle we use square brackets
The range of a function is the set of all possible output values that the function can produce. Examining the y axis of the graph, the points are from -1 to -5. The figures are included so we use square brackets
The relation is a function because all the domain yield a unique value as the range. In other words, every x-value has one y-value