Function or not a function

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is 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 if a relation is not a function?

Back

If a relation is not a function, it means that at least one input is associated with multiple outputs.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

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

Back

An example of a relation that is not a function is the equation x^2 + y^2 = 1, where some x-values correspond to two different y-values.

Front

How can you tell if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if any vertical line drawn on the graph intersects it at most once.

Front

What is the significance of the y-value in a function?

Back

The y-value represents the output of the function for a given input (x-value).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.