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 a graph would, or would not, represent a function.

Answer 1

Answer:

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Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Answer 2

Given : When given a graph, the vertical line test can be used to determine functionality

To find : . Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.

Solution:

The vertical line test is a visual way to determine if a curve is a graph of a function or not.

The graph represents a function if there are NO vertical lines that INTERSECT the graph at more than one point.

Function

A relation that assigns to each element x in the domain set  A exactly one element y from the range set B  is called a function.

Means for a given value of x there can exist only one value of y

vertical line test ,

If a vertical line cut the graph of the function at more than one point

That implies for at least one element x in  in the domain set is assigned to  more than one point   Hence it is not a function

For a given value of domain there can no exist  more than one value of the Range in a function

Vertical line test just check the same and confirm that graph would represent a function or not.

If a Vertical line does not cut the graph at more than one points then graph represents a function

If  a Vertical line  cut the graph at more than one points then graph doe not represents a function

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