Vertical Line Test

A method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, the graph is not a function.

A graph is a function if every input (x-value) has exactly one output (y-value).

If a vertical line drawn through any part of the graph intersects it at more than one point, then the graph is not a function.

A straight line with a slope, such as y = 2x + 1, passes the Vertical Line Test.

A circle, such as x^2 + y^2 = 1, fails the Vertical Line Test because a vertical line can intersect it at two points.

The set of all possible input values (x-values) for which the function is defined.

The set of all possible output values (y-values) that a function can produce.

No, a vertical line is not a function because it fails the Vertical Line Test; it has multiple y-values for a single x-value.

The x-axis represents the input values of the function.

The y-axis represents the output values of the function.