Question

When given a graph, the vertical line test can be used to determine functionally. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function

Answer 1

See below.

Explanation:

If you can draw any vertical line which intersects the graph more than once then the graph does not represent a function.

The intersection shows that for a given value of x in the domain there is more than one value of f(x). So this is a one-to-many relation and is not a function because a function must be one-to-one or many-to one.

Answer 2

The vertical line test is where you take a pencil or any vertical object and you move it across a function. If that vertical line intersects a graph more than once it would not be a function because for it to be a function it has to have one input value and one output value.

(Hopefully this helps!!)

Explanation: