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 does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a table represents a function?

Back

Check if any x-value is repeated. If it is, the table does not represent a function.

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

Can a mapping diagram represent a function?

Back

Yes, if each input is connected to exactly one output.

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

Example of a function: (1, 2), (2, 3), (3, 4). Is this a function?

Back

Yes, each input has exactly one output.

Front

Example of a relation: (1, 2), (1, 3), (2, 4). Is this a function?

Back

No, the input '1' has two outputs (2 and 3).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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