Lesson 1.5 Vertical Line Test

Front

What is the Vertical Line Test?

Back

A method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph is not a function.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every input (x-value) has exactly one output (y-value).

Front

Which graph is NOT a function?

Back

A graph that fails the Vertical Line Test.

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 be a function?

Back

No, a vertical line is not a function because it has multiple outputs for the same input.

Front

What is the definition of a function?

Back

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

Front

How can you determine if a graph is a function using points?

Back

Check if any x-coordinate is repeated with different y-coordinates.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x, there is one unique y.

Front

What is an example of a non-function?

Back

The equation x^2 + y^2 = 1 is not a function because it can produce multiple y-values for a single x-value.

Front

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

Back

The x-axis represents the input values; the test checks if each input has a unique output.