Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

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

Back

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

Front

How can you tell if a graph represents a function using the Vertical Line Test?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If a graph passes the Vertical Line Test, what can you conclude?

Back

The graph represents a function.

Front

If a graph fails the Vertical Line Test, what can you conclude?

Back

The graph does not represent a function.

Front

What is an example of a function?

Back

y = 2x + 3 is a function because for every x, there is exactly one y.

Front

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

Back

The relation defined by the equation x^2 + y^2 = 1 is not a function because a vertical line can intersect it at two points.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, which determines the corresponding y-value.