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?
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 more than once, the graph is of a relation, but it is not a function.********
Because the vertical line did intercepted the graph exactly twice, the graph is a function and a relation.
looks good
Well, well, the vertical line must be feeling quite seductive intercepting that graph multiple times! But sorry to say, it seems like the graph is a relation, but not a function. It's just not exclusive enough to only have one y-value for each x-value. Keep searching for that one true love, graph!
Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function.
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 this is the correct interpretation, we need to understand what the vertical line test is. The vertical line test is a method used to determine if a graph represents a function. According to the vertical line test, if any vertical line intersects the graph at more than one point, then the graph is not a function.
In this scenario, since the vertical line intercepts the graph twice, it means that there are two points on the graph with the same x-coordinate but different y-coordinates. This violates the definition of a function, which states that for every x-value, there should be only one corresponding y-value.
Therefore, we can conclude that the graph is a relation (because there are multiple y-values for some x-values), but it is not a function (because it does not satisfy the one-to-one mapping between x and y values).