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) 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 function, but it is not a relation. Because the vertical line intercepted the graph more than once, the graph is of a relation, but it is not a function. O Because the vertical line did intercepted the graph exactly twice, the graph is a function and a relation​

Answer 1

The correct statement is:

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

Explanation:

We use the vertical line test on a graph to show the graph represents a function or a relation

• If the graph and the vertical line intersected at an only ONE point then the graph represents a function

• If the graph and the vertical line intersected at more than one point, then the graph does not represent a function it represents a relation

Let us use these facts to answer the question

∵ While performing a vertical line test on a graph, you notice that

the graph intercepts the vertical line twice

→ That means the line intersected the graph at more than 1 point

∴ The graph does not represent a function it represents a relation

The correct statement is:

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