Question

The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.

Answer 1

I don’t see the graph — could you upload it or describe it (points, curves, open/closed dots, etc.)?

Meanwhile, here’s how you apply the vertical line test so you can check it yourself:

- Draw (or imagine) a vertical line x = a and move it left to right across the entire graph.
- If every vertical line meets the graph in at most one point, the relation is a function.
- If any vertical line meets the graph in two or more points, the relation is not a function.

Things to watch for:
- Closed vs. open dots: a closed dot counts as an intersection; an open dot does not.
- A vertical segment or a circle will usually fail the test (not a function).
- A standard parabola y = x^2 or a nonvertical straight line will pass (is a function).

If you upload the graph or describe its features, I’ll apply the test and give the conclusion.