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

Question

Steve Harrell

Mathematics

17 June, 10:10

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

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Marshall Cain · Answer 1

The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.

A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).

Step-by-step explanation:

In a function, every input within the domain of the function must have exactly one output. If the graph has an input that has more than one output, then it is not a function. The vertical line test is what allows you to see if a graph is a function or not.