Vertical Line Test HW

Front

What is the Vertical Line Test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

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

Back

The relation is not a function.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is the domain of a function?

Back

The set of all possible x-values (inputs) for the function.

Front

What is the range of a function?

Back

The set of all possible y-values (outputs) for the function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

Give an example of a function.

Back

The equation y = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

Give an example of a relation that is not a function.

Back

The relation defined by the equation x^2 + y^2 = 1 is not a function because a vertical line can intersect it at two points.

Front

What is the significance of the y-axis in the context of functions?

Back

The y-axis represents the output values (y-values) of the function.