When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function. write it and make it short like an 8th grader

1 answer

The vertical line test is a way to check if a graph represents a function. A graph is a function if any vertical line you draw intersects the graph at most once.

If a vertical line crosses the graph more than once, it means that there are two different y-values for the same x-value. This would mean that the relationship is not a function, because each input (x-value) should only have one output (y-value).

In summary:

  • Passes the vertical line test: The graph is a function. (Each x-value only has one y-value)
  • Fails the vertical line test: The graph is not a function. (An x-value has more than one y-value)