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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.

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Q: How do you use a vertical line test to determine if a graph represents a function?
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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.


Which statement is a correct interpretation of the vertical line test?

A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function


How do you determine if a relation represents a function?

If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!


How can you tell if a graph that represents the relationship is a function?

The vertical line test! Imagine a vertical line going through all points of the graph. As long as the vertical line only touches the graphed line once, it's a function. If it touches more than once, it is not.


How will the vertical line test be used to determine whether a graph is a function?

A function can only have one output for any given input. This means that any x value you choose cannot have multiple corresponding y values. The vertical line test involves looking at a graph and drawing vertical lines over it. If any of the vertical lines you have drawn touch the graph of the function more than once, then the graph does not represent a function.

Related questions

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.


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.


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 does the vertical line test determine if a graph represents a function?

Functions cannot have two y-values (outputs) for any single x-value (input), so if you can draw a vertical line that touches more than 1 point on the graph, it is not 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.


When does a graph represents a function?

take a vertical line, if another line intersects that vertical line at 2 points, then it is a function.In other words,a graph represents a function if each vertical line meets its graph in a unique point.


Which statement is a correct interpretation of the vertical line test?

A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function


How can you determine if a relationship between two variables is a function from a graph?

The relationship is a function if a vertical line intersects the graph at most once.


What can be used to determine if a graph represents a function?

If the graph is a function, no line perpendicular to the X-axis can intersect the graph at more than one point.


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.


How do you determine whether a graph of a mathematical relationship is a function?

If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.


How do you determine if the graph is a function?

If for every point on the horizontal axis, the graph has one and only one point corresponding to the vertical axis; then it represents a function. Functions can not have discontinuities along the horizontal axis. Functions must return unambiguous deterministic results.