Vertical Line Test

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What defines a function in mathematical terms?

Back

A function is a relation in which each input (or x-value) is associated with exactly one output (or y-value).

Front

How can you tell if a graph is not a function?

Back

A graph is not a function if a vertical line drawn anywhere on the graph intersects it at more than one point.

Front

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

Back

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

Front

What is an example of a graph that is a function?

Back

A straight line with a slope (except vertical lines) is an example of a graph that is a function.

Front

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

Back

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

Front

Can a horizontal line be a function?

Back

Yes, a horizontal line is a function because it passes the Vertical Line Test; each x-value corresponds to exactly one y-value.

Front

What is the significance of the domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the significance of the range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.