Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 6 to 6 in increments of 1. An upward slanting line passing through two plotted points is graphed on the plane. The line passes through points plotted at coordinates left parenthesis 0 comma negative 3 right parenthesis, and left parenthesis 3 comma 0 right parenthesis.
The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.
The vertical line test states that if a vertical line passes through the graph of a relation at more than one point, then the relation is not a function.
Looking at the graph, it can be observed that for every x-coordinate (horizontal), there is only one y-coordinate (vertical) value. The line passes through points (0,-3) and (3,0), and at every x-coordinate between these points, there is only one corresponding y-coordinate.
Therefore, based on the vertical line test, this relation is a function.