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

What does it mean for y to be a function of x?

Back

It means that 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 is a function because for every x, there is one y.

Front

What is an example of a relation that is not a function?

Back

y^2 = x is not a function 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 (x) has exactly one output (y).

Front

What is a graph of a function?

Back

A visual representation of a function, showing the relationship between x and y values.

Front

Can a vertical line intersect a function's graph more than once?

Back

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

Front

What is the significance of the y-axis in the Vertical Line Test?

Back

The y-axis is used to check if a vertical line intersects the graph at more than one point.