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The test is: If you were to draw a vertical line through every point in the domain (every x-value that is allowed), would it intersect the graph in exactly one point? Rather than draw lines, you could just slide a ruler, keeping it parallel to the vertical (y) axis.

If no intersection, then it is not a function because there is a point in the domain which has no image in the range.

If more than one intersection, then it is not a function because there is a point in the domain that is mapped to more than one value in the range.

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Q: How do you test to see if a graph is a function?
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What is the horizantal line test and vertical line test?

Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.


What is The test to determine if a graph is a function is?

A graph is represents a function if for every value x, there is at most one value of y = f(x).


How do you determine weather the graph represent a function?

The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.


Is the relation a function y equals 3x-4?

7


What term is used to describe a represntation of a thing or system and can be used as a way to test hypotheses?

A graph is a representation of a thing/system, and can be used to test a hypothesis. For example, if you have a graph of a trend you can find the function of that trend. Then, you can plug in values the graph defines--say, at 2 the graph reaches 5--and if the function works, you know you have modeled the phenomenon correctly. This function testing can work to test a hypothesis, especially in finding trends.

Related questions

How can you tell if a graph sHow is a function?

Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.


Recall that the vertical line test is used to check whether a particular graph represents the graph of a function what are correct statements for this graph?

This graph fails the vertical line test at x = 3This graph is not the graph of a function.


Is an oval a graph of a function?

No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.


How can you tell if a graph is a function?

A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.


Why would you use the vertical line test?

To see if a graph is a function. There is only one x for every y!


What is the axis of symmetry of the function shown in the graph?

I regret that I can see no function shown.


How can you tell if a function is a function?

The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.


Is y equals -x cubed plus 1 a function?

Yes, y = -x3+1 is a function. You can graph it and see that it passes the vertical line test. See related link, below.


What is the horizantal line test and vertical line test?

Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.


What is The test to determine if a graph is a function is?

A graph is represents a function if for every value x, there is at most one value of y = f(x).


How do you determine weather the graph represent a function?

The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.


Is the relation a function y equals 3x-4?

7