Vertical Line Test Practice

Front

What is the Vertical Line Test?

Back

A method to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

If a vertical line intersects a graph at more than one point, what does that indicate?

Back

The graph does not represent 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

Can a vertical line intersect a function more than once?

Back

No, if it does, the relation is not 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

How can you visually determine if a graph represents a function?

Back

By using the Vertical Line Test.

Front

What is the definition of a function in mathematical terms?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the significance of the output in a function?

Back

The output is the value of y for a given input x.

Front

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

Back

The graph represents a function.