Understanding functions

Front

What is a function?

Back

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

Front

How can you tell if a relation is a function?

Back

A relation is a function if each input has only one output.

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 crosses the graph more than once, it is not a function.

Front

What is an input in a function?

Back

An input is the value that is put into a function to obtain an output.

Front

What is an output in a function?

Back

An output is the value that results from applying a function to an input.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input.

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 does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is paired with exactly one input.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range is the set of all possible outputs for a function.