What is the vertical line test

The video tutorial explains the vertical line test to determine if a relation is a function. It demonstrates how a vertical line intersecting a graph more than once indicates a non-function. The tutorial provides examples, addresses common misunderstandings, and discusses special cases, such as cubic functions and open versus closed dots on graphs.

What does it mean if a vertical line intersects a graph at more than one point?

• The graph represents a function.

• The graph is a quadratic function.

• The graph does not represent a function.

• The graph is a linear function.

Why might a cubic function appear to fail the vertical line test but still be a function?

• Because it is a linear function.

• Because it never actually becomes vertical.

• Because it intersects the x-axis.

• Because it is a quadratic function.

What is the significance of a solid dot on a graph?

• It indicates the graph is not a function.

• It indicates the coordinate is not included.

• It indicates the coordinate is included.

• It indicates the graph is a function.

How does an open dot affect the determination of a function?

• It means the coordinate is included.

• It means the coordinate is not included.

• It means the graph is a function.

• It means the graph is not a function.

If a graph sometimes acts as a function and sometimes does not, how is it classified?

• It is always a function.

• It is a function if it passes the test at least once.

• It is never a function.

• It is not a function if it ever fails the test.