Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method 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 y to be a function of x?

Back

For every input x, there is exactly one output y.

Front

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

Back

The graph represents a function.

Front

If a graph does not pass the Vertical Line Test, what can we conclude?

Back

The graph does not represent a function.

Front

What is an example of a function?

Back

y = 2x + 3, because for each x, there is one corresponding y.

Front

What is an example of a non-function?

Back

y^2 = x, because for some x values, there are two corresponding y values.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is a relation in mathematics?

Back

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

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 the significance of the Vertical Line Test in graphing?

Back

It helps to visually determine if a graph is a function.