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?

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 function, but it is not a relation.

Because the vertical line did intercepted the vertical line exactly twice, the graph is a function and relation.

Because the vertical line intercepted the graph exactly twice, the graph is a function.

Answer 1

The correct option is;

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

Explanation:

Given that a function maps a given value of the input variable, to the output variable, we have that a relation that has two values of the dependent variable, for a given dependent variable is not a function

Therefore, a graph in which at one given value of the input variable, x, there are two values of the output variable y is not a graph of a function

With the vertical line test, if a vertical line drawn at any suitable location on the graph, intercepts the graph at more than two points, then the relationship shown on the graph is not a function.