Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method to determine if a graph represents a function. If any 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

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

Back

If a vertical line crosses the graph at more than one point, the graph is not a function.

Front

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

Back

A circle is an example of a relation that is not a function because a vertical line can intersect it at two points.

Front

What is an example of a function?

Back

The graph of y = x^2 is a function because it passes the vertical line test.

Front

What does it mean for y to be a function of x?

Back

It means that for each value of x, there is exactly one corresponding value of y.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.

Front

What is the Horizontal Line Test?

Back

A method to determine if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

Can a vertical line ever be a function?

Back

No, a vertical line is not a function because it fails the vertical line test.

Front

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

Back

It helps to quickly determine if a graph represents a function without needing to analyze the equation.