To determine whether each graph represents a function, we will use the vertical line test. This test states that if a vertical line can intersect a graph at more than one point, the graph does not represent a function. **Graph 1:** - Some vertical lines intersect at more than one point (for example, where the open and filled circles align vertically). - **Conclusion:** Not a function. **Graph 2:** - A vertical line intersects the graph at only one point at any given \(x\)-value. - **Conclusion:** Yes, it is a function. **Graph 3:** - The circle allows vertical lines to intersect at two points for some \(x\)-values. - **Conclusion:** Not a function. **Graph 4:** - The graph curves back on itself, so a vertical line would intersect the graph twice for some \(x\)-values. - **Conclusion:** Not a function. **Graph 5:** - Multiple points are vertically aligned, allowing vertical lines to intersect at more than one point. - **Conclusion:** Not a function. **Graph 6:** - Each vertical line intersects the graph at no more than one point. - **Conclusion:** Yes, it is a function