Relations and Functions

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is a function?

Back

A function is a special type of relation where each input is associated with exactly one output.

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

What does it mean for a relation to be not a function?

Back

It means that at least one input is associated with more than one output.

Front

What is the definition of a one-to-one function?

Back

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

Front

What is the difference between a function and a relation?

Back

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

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 relation or function by showing how each input is paired with its corresponding output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.