Question

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

Answer 1

the vertical line test is when you put vertical lines down the graph and if the point does not touch the line more than once, it passes and represents a function.

Answer 2

For the given graph, the vertical line test can be used to test whether the graph represents a function or not.

It is required to describe the vertical line test whether the given graph represents a function or not.

What is the vertical line test?

In the vertical line test when you draw a vertical line and if this vertical line does not intersect more than one point then the given graph represents the function.

If we draw the graph of a parabola and then draw a vertical line we will see it intersects more than one point means it does not represent the function.

(Shown in the Figure: 01)

If we draw a polynomial graph and then draw a vertical line we will see it intersects only one point means it represents the function.

(Shown in the Figure: 02)

Because for the given 'x' value we will get two mirror images of 'x' but from the function definition it should only one mirror image of 'x'.

Thus, for the given graph, the vertical line test can be used to test whether the graph represents a function or not.

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