Function or Relation

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

What is the vertical line test?

Back

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 a value that is fed into a function to produce an output.

Front

What is an output in a function?

Back

An output is the result produced by a function after processing an input.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What is a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

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.

Front

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

Back

It means that there exists at least one input that corresponds to multiple outputs.