Vertical Line Test

Front

What is the Vertical Line Test?

Back

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

Front

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

Back

It means that for every x-value, there is exactly one y-value, confirming that the graph represents a function.

Front

What does it mean if a graph does not pass the Vertical Line Test?

Back

It means that there is at least one x-value that corresponds to multiple y-values, indicating that the graph is not a function.

Front

Can a straight line that is not vertical be a function?

Back

Yes, as long as it does not intersect a vertical line more than once.

Front

What is an example of a function?

Back

The equation y = 2x + 3 represents a linear function.

Front

What is an example of a non-function?

Back

The equation x^2 + y^2 = 1 represents a circle, which fails the Vertical Line Test.

Front

How can you visually identify a function from a graph?

Back

By using the Vertical Line Test; if any vertical line crosses the graph more than once, it is not a function.

Front

What is the significance of the Vertical Line Test in mathematics?

Back

It helps to quickly determine the nature of a relation represented by a graph.

Front

What type of graph is guaranteed to pass the Vertical Line Test?

Back

Any graph that represents a linear equation with a non-vertical slope.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which may or may not be a function.