While performing a vertical line test, you notice that the graph intercepts the vertical line twice. Which of the following correctly interprets the result of the test?
The graph is a relation, but is not a function.
The graph is both a relation and a function.
The graph is a neither a function or a relation.
The graph is a function but is not a relation.
The correct interpretation of the result of the vertical line test is: The graph is a relation, but is not a function.
The correct interpretation of the result of the vertical line test is: "The graph is a relation, but is not a function."
To interpret the result of a vertical line test, you need to understand the concept of a function and a relation.
A relation is a set of ordered pairs that relate two sets of numbers, usually represented by a graph, table, or mapping. A function, on the other hand, is a specific type of relation where each input (x-value) maps to only one output (y-value). In other words, for every value of x, there should be a unique value of y.
In the given scenario, if the graph intercepts the vertical line twice, it means that there is a single x-value that corresponds to two different y-values. This violates the definition of a function because one input (x-value) is producing multiple outputs (y-values). Therefore, the correct interpretation is that the graph is a relation but not a function.
So, the correct answer is: The graph is a relation but is not a function.