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

What is the definition of a function?

Back

A relation where each input is associated with exactly one output.

Front

What is the range of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

If a graph fails the Vertical Line Test, what can we conclude?

Back

The graph does not represent a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

The equation x^2 + y^2 = 1 is not a function because a vertical line can intersect it at two points.

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form y = mx + b.