The graph of a relation is given apply the vertical line test to determine if the relation is a function

A) There is not enough information to determine whether this is a function
B) Yes, the given relation is a function
C) The given relation is not a function
D) The relation is a half circle

C) The given relation is not a function

The vertical line test states that if a vertical line can pass through more than one point on the graph at a time, then the relation is not a function. Since a half circle can have multiple y-values for the same x-value, it fails the vertical line test and is not a function.