Functions Quick Check
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. A semicircle is graphed on the plane. The semicircle passes through points plotted at coordinates left parenthesis 0 comma 6 right parenthesis, left parenthesis 6 comma 0 right parenthesis, and left parenthesis 0 comma negative 6 right parenthesis.
The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.
(1 point)
1 answer
The relation shown in the image is not a function because it fails the vertical line test. This can be seen by drawing vertical lines that intersect the graph in more than one point, indicating that for some x-values, there are multiple y-values associated with it.
1 answer