Vertical Line Test

Front

What is the Vertical Line Test?

Back

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.

Front

What does it mean for a graph to be a function?

Back

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

Front

How can you tell if a graph is not a function using the Vertical Line Test?

Back

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.

Front

What is an example of a function graph?

Back

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

Front

What is an example of a graph that is not a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

Can a vertical line be a function?

Back

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.

Front

What is the significance of the x-axis in a function graph?

Back

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

Front

What is the significance of the y-axis in a function graph?

Back

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