While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?(1 point) Responses Because the vertical line did intercepted the graph exactly twice, the graph is a function and a relation. Because the vertical line did intercepted the graph exactly twice, the graph is a function and a relation. Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation. Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation. Because the vertical line intercepted the graph exactly twice, the graph is of a function. Because the vertical line intercepted the graph exactly twice, the graph is of a function. Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function

Question

While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?(1 point) Responses Because the vertical line did intercepted the graph exactly twice, the graph is a function and a relation. Because the vertical line did intercepted the graph exactly twice, the graph is a function and a relation. Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation. Because the vertical line intercepted the graph more than once, the graph is of a function, but it is not a relation. Because the vertical line intercepted the graph exactly twice, the graph is of a function. Because the vertical line intercepted the graph exactly twice, the graph is of a function. Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function

Answer 1

Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.

Answer 2

Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.

Answer 3

The correct interpretation of the result of the vertical line test in this scenario is: "Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function."

To understand why, let's first define what a function and a relation are in the context of graphs:

- A function is a relation where each input (x-coordinate) is associated with exactly one output (y-coordinate). In other words, for every unique x value, there can only be one corresponding y value.
- A relation, on the other hand, is a set of ordered pairs (x, y) where x and y can have multiple matches.

Now, when we perform a vertical line test on a graph, we analyze how many times a vertical line intersects the graph. If the vertical line only intersects the graph at most once for every x-coordinate, then the graph is a function, as there is only one corresponding y-coordinate for each x-coordinate.

In this case, since the vertical line intersects the graph twice, it means that there are some x-values in the graph that have two or more corresponding y-values. That violates the definition of a function, where each x-value should have only one corresponding y-value. Therefore, the graph is a relation but not a function.