vertical line test
A test to determine if a graph represents a function. If no vertical line intersects a graph more than once, then the graph is a function
The vertical line test is a method used in mathematics to determine whether a given graph represents a function or not.
To conduct the vertical line test, imagine drawing a vertical line on the graph. If the line intersects the graph at more than one point, then the graph does not represent a function. On the other hand, if the vertical line intersects the graph at only one point for every value of x, then the graph represents a function.
For example, consider the graph of a circle. If we were to draw a vertical line intersecting the circle, it would intersect the circle twice, indicating that the graph does not represent a function.
In contrast, consider the graph of a straight line. If we were to draw a vertical line intersecting the line, it would only intersect the line at one point for every value of x, indicating that the graph represents a function.
The vertical line test is a useful tool for identifying functions and their domains and ranges.
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