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 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 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 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. 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 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 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 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. 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 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 this, let's first review what the vertical line test is. The vertical line test is a method used to determine whether a graph represents a function or a relation. It involves drawing vertical lines on the graph and observing how many times each line intersects the graph.

If a vertical line intersects the graph at multiple points, it means that there is more than one y-value (output) associated with a single x-value (input). In other words, for a given x-value, there are multiple corresponding y-values, which violates the definition of a function.

On the other hand, if a vertical line intersects the graph at most once, it means that each x-value has at most one corresponding y-value. This satisfies the criteria for a function, where each input has a unique output.

In the given scenario, you noticed that the graph intercepts the vertical line twice. This means that there are two y-values corresponding to a single x-value, indicating that the graph is of a relation. However, since it violates the definition of a function (as one input has multiple outputs), we can conclude that the graph is of a relation, but it is not a function.