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That is simply a result of the definition of a function. A function is a mapping such that for each value of x there is only one value of y.

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14y ago

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Related Questions

How do you graph trigonometric functions?

You find the average rate of change of the function. That gives you the derivative on different points of the graph.


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.


A value is in the domain of a function if there is a what on the graph of the function at that x-value?

points


Why does a graph of function never have two different coordinates?

A graph of a function cannot have two different coordinates (or points) with the same x-value because, by definition, a function assigns exactly one output (y-value) for each input (x-value). If a graph did have two points with the same x-coordinate but different y-coordinates, it would violate the definition of a function, as a single input would yield multiple outputs. This concept is often referred to as the "vertical line test," where any vertical line drawn on the graph intersects it at most once.


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 it possible to have different quadratic equations with the same solution Why?

Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.


How do you determinate 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 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 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 points lies on the graph of the function y equals 4x?

Since there are no "following" points, none of them.


The points on a line graph not always connected because?

The function is not continuous.


When the points on a graph tend to go downward from left to right you say they indicate what?

They mean the graph/function is decreasing.