Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it 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

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

Back

A circle is not a function because a vertical line can intersect it at two points.

Front

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

Back

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

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What is the definition of a function?

Back

A function is a relation where each input is associated with exactly one output.

Front

What does it mean if a graph passes the Vertical Line Test?

Back

It means that the graph represents a function.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x-value, there is one unique y-value.

Front

What is a non-function example?

Back

The equation x^2 + y^2 = 1 represents a circle, which is not a function.