Functions Quick Check
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Question
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
This relation is not a function because it fails the vertical line test. There are multiple vertical lines that intersect the graph in more than one point, indicating that there are multiple y-values for a single x-value.