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A one-to-one graph must pass both the horizontal and the vertical line test. That means that no x-value can have two y-values and no y-value can have two x-values. An example of a one-to-one function is a line. Things like parabolas and the graph of an absolute function cannot be one-to-one.

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βˆ™ 8y ago
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βˆ™ 9y ago

If it's one-to-one, and assuming the function is continuous, the function graph must needs be strictly monotonous. That means that, going from left to right, the graph can either ONLY go up, or it can ONLY go down.

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Q: What does a one to one function graph look like?
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What is a type of function whose graph is a nonvertical line?

A monotonic, or one-to-one 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


What does a function on a graph look like?

A function is just a fancy name for a math problem. It could be a straight line or it could be a parabola or even some thing else. The key to knowing what it looks like is the leading coefficient. What is the highest power of x? Is it positive or negative? An x with the power of one will be a straight line at an angle.


Can a one to one function not be a function?

"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.


How can you tell by looking at a graph if the represntation is a function?

if a certain abscissa corresponds to more than one ordinate, then it is not a function.

Related questions

What does a one to one function look like?

One to one functions on a graph can vary. To determine if a function is one to one, a horizontal line can only intersect the function once. If it intersects the function more than once, it is not a one to one function.


How can one determine the median from a graph?

The answer depends on what the graph is of: the distribution function or the cumulative distribution function.


By checking the values for a function on only one side of its asymptote you can know for sure how the graph should look?

false


What does Onsager's look like on a chart?

show one sixth on a graph


Is the graph of a curve a function?

The graph if a function can be a curve, but it can also be any one of a ton of other shapes.


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.


How can you tell the difference graph or function?

A function describes the relationship between two or more variables. A graph is a kind of visual representation of one or more function. A line or curve seen on a graph is called the graph of a function. * * * * * For any point in the domain, a function can map to only ine point in the range or codomain. In simpler terms, it means that (for a two dimensional graph), a vertical line can intersect the graph of the function in at most one point.


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.


Which kind of graph is always a function?

Any graph of a mapping which is one-to-one or many-to-one but not one-to-many.


What is a type of function whose graph is a nonvertical line?

A monotonic, or one-to-one function.


When can you say that the graph is function or mere relation?

If a vertical line intersects the graph at more than one point then it is not a function.


When do you say that a graph is a function?

In simple terms, if a vertical line meets a graph in more than one place it is not a function.