Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method used 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 function?

Back

The graph of y = x^2 is a function because each x-value corresponds to one y-value.

Front

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

Back

The graph of y = ±√x is not a function because some x-values correspond to two different y-values.

Front

How can you use the Vertical Line Test on a graph?

Back

Draw vertical lines through the graph. If any vertical line crosses the graph more than once, the graph is not a function.

Front

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

Back

It helps to quickly determine if a relation is a function without needing to analyze all ordered pairs.

Front

Can a horizontal line fail the Vertical Line Test?

Back

No, a horizontal line can only intersect a vertical line at one point, so it can represent a function.

Front

What type of graphs always pass the Vertical Line Test?

Back

Graphs of linear functions and quadratic functions typically pass the Vertical Line Test.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can be represented as a graph.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.