Function or Non-Function?

Front

What is a function in mathematics?

Back

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

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs.

Front

How can you determine if a relation is a function?

Back

You can use the vertical line test: if a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each input has a unique output.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3), (2, 4)} is a non-function because the input '1' has two different outputs.

Front

What does the term 'input' refer to in a function?

Back

An input is the value you provide to a function, often represented as 'x'.

Front

What does the term 'output' refer to in a function?

Back

An output is the value that results from applying the function to an input, often represented as 'f(x)'.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

What is the domain of a function?

Back

The domain is the set of all possible inputs for a function.