1. The problem is to determine which of the six given graphs represent functions using the vertical line test. 2. The vertical line test states: A graph represents a function if and only if no vertical line intersects the graph at more than one point. 3. Analyze each graph: - Graph 1: Sideways curve with two branches above and below the x-axis. A vertical line will intersect it in two points, so it is not a function. - Graph 2: Two horizontal line segments at different y-values with no overlapping x-values. Any vertical line intersects at most one point, so it is a function. - Graph 3: Scatter plot with two points sharing the same x-value but different y-values. A vertical line through that x-value hits two points, so not a function. - Graph 4: Four points with distinct x-values and no repeated x-values. Passes vertical line test, so it is a function. - Graph 5: (Not described in detail, assume no information, so cannot confirm.) - Graph 6: Inverted triangle shape with horizontal top edge and two slanted sides meeting at a point. Vertical lines through the top edge intersect at more than one point, so not a function. 4. Conclusion: Graphs 2 and 4 represent functions. Final answer: Graph 2 and Graph 4 are functions.