Question

whether the following graph represents a function.

Explanation:

Step1: Recall the vertical line test

A graph represents a function if and only if no vertical line intersects the graph at more than one point.

Step2: Apply the vertical line test to the circle

For the given circle graph, if we draw a vertical line (e.g., \(x = - 3\)), this vertical line will intersect the circle at two points (one above the \(x\)-axis and one below the \(x\)-axis). This means there exists at least one \(x\)-value that corresponds to more than one \(y\)-value.

Answer:

The graph does not represent a function.