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 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.
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.
of a relation and not a function.
of a relation, but it is not a function.
To interpret the result of the vertical line test, we need to understand the concept of functions and relations. A function is a specific type of relation where each input value (x) is associated with exactly one output value (y). In other words, for every x, there is only one y.
The vertical line test is a method used to determine if a graph represents a function. To perform the test, we imagine a vertical line and see if it intersects the graph more than once. If it intersects the graph at exactly one point for every vertical line, then the graph represents a function. If it intersects the graph at more than one point for any vertical line, then the graph does not represent a function.
In this case, since the vertical line intercepts the graph twice, it means that there are two different y-values associated with the same x-value. This violates the definition of a function because one x-value should only have one corresponding y-value. Therefore, the graph is a relation but not a function.