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Paige Grant

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4y ago

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Continue Learning about Calculus

Can you determine whether the inverse of a function is a function by using vertical line test?

Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.


What kind of verticle-line test determines which graph represents a function?

A sliding test. The vertical line can meet the graph at at most one point.


How can you tell by looking at a graph its a function?

Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)


Why a constant function doesn't have an inverse function?

When graphing functions, an inverse function will be symmetric to the original function about the line y = x. Since a constant function is simply a straight, horizontal line, its inverse would be a straight, vertical line. However, a vertical line is not a function. Therefore, constant functions do not have inverse functions. Another way of figuring this question can be achieved using the horizontal line test. Look at your original function on a graph. If any horizontal line intersects the graph of the original function more than once, the original function does not have an inverse. The constant function is a horizontal line. Under the assumptions of the horizontal line test, a horizontal line infinitely will cross the original function. Thus, the constant function does not have an inverse function.


What is the only type of line that is not a function?

A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.

Related Questions

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.


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.


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.


Can you determine whether the inverse of a function is a function by using vertical line test?

Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.


How can you tell if a graph 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.


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.


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

Horizontal line test is used for the determination of a function,if the horizontal line passes through one point of the given graph then it is a function and if it passes through more than one point then it will not a function. * * * * * No! It is a vertical line test. Consider the graph of y = sin(x): a horizontal line line will cross it twice in every 360 degrees! Convince me that y = sin(x) is not a function.


How can you tell whether a graph is a function or not?

A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not 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 do you use a vertical line test to determine if a graph represents a function?

A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.


What kind of verticle-line test determines which graph represents a function?

A sliding test. The vertical line can meet the graph at at most one point.