The question asks to use the vertical line test to determine whether each graph represents a function.

The vertical line test states that a graph represents a function if and only if no vertical line intersects the graph at more than one point. Let’s analyze each of the graphs:

1. Graph 14:

   • This graph shows a curve that bends horizontally. If we apply the vertical line test, there will be some vertical lines that intersect the graph at two points.
   • Conclusion: This graph does not represent a function.

2. Graph 15:

   • This graph shows a parabola that opens upwards. Any vertical line drawn will intersect the graph at only one point.
   • Conclusion: This graph does represent a function.

3. Graph 16:

   • This graph is a straight diagonal line. Every vertical line drawn will intersect the graph at only one point.
   • Conclusion: This graph does represent a function.

Let me know if you would like more details on how the vertical line test works or if you have any questions!

Here are 5 related questions to explore:

1. What are the criteria for a relation to be a function?
2. Can all parabolas represent functions?
3. What happens when a vertical line intersects a graph at more than one point?
4. How would you apply the vertical line test to a circle?
5. Are all straight lines considered functions?

Tip: The vertical line test is an easy way to check if a graph is a function, but you can also confirm it algebraically by ensuring that each input (x-value) maps to only one output (y-value).