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 value of x, there is exactly one corresponding value of 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 every x, there is one unique 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

How can you visually check if a graph is a function?

Back

By using the Vertical Line Test.

Front

What is the definition of a function in mathematics?

Back

A relation where each input has a single output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

Can a vertical line intersect a function more than once?

Back

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