Vertical Line Test - Function or NonFunction

Front

What is the Vertical Line Test?

Back

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

If a vertical line intersects a graph at two points, what can we conclude?

Back

The graph does not represent a function.

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function?

Back

The equation x^2 + y^2 = 1 represents a non-function because a vertical line can intersect the graph at two points.

Front

How can you visually identify a function using a graph?

Back

By applying the vertical line test; if any vertical line crosses the graph more than once, it is not a function.

Front

What is the definition of a relation in mathematics?

Back

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

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.8.F.A.1

Front

Can a vertical line test be applied to all types of graphs?

Back

Yes, the vertical line test can be applied to any graph to determine if it is a function.

Front

What does it mean if a graph passes the vertical line test?

Back

It means that the graph represents a function.