Vertical Line Test Practice

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

Is y a function of x if a vertical line intersects the graph at two points?

Back

No, 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.

Tags

CCSS.8.F.A.1

Front

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

Back

The graph represents a function.

Front

What is an example of a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a 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.

Tags

CCSS.8.F.A.1

Front

Can a horizontal line test determine if a relation is a function?

Back

No, the horizontal line test determines if a function is one-to-one, not if it is a function.

Front

What is the significance of the Vertical Line Test in graphing?

Back

It helps to quickly identify whether a graph represents a function.

Front

If a graph has a loop, what can we say about it?

Back

It is not a function, as it fails the Vertical Line Test.