Identify Functions (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 defines a function in mathematics?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

Is the set of points (1,5), (1,6), (1,7), (1,8), (1,9) a function?

Back

No, because the x-value 1 is associated with multiple y-values.

Front

What does it mean if a graph is not a function?

Back

It means that there exists at least one x-value that corresponds to more than one y-value.

Front

Can a vertical line intersect a function more than once?

Back

No, if it does, the relation is not a function.

Front

What is an example of a function?

Back

The relation (2,3), (3,4), (4,5) is a function because each x-value is unique.

Front

What is an example of a non-function?

Back

The relation (1,2), (1,3), (2,4) is not a function because the x-value 1 has two different y-values.

Front

How can you visually identify a function from a graph?

Back

By using the Vertical Line Test; if a vertical line crosses the graph more than once, it is not a function.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.