Functions/Relations Amnesty

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same x-value.

Front

What does it mean if a function has a repeated x-value?

Back

If a function has a repeated x-value, it means that the relation is not a function, as it would assign multiple outputs to the same input.

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs (1,2), (2,3), (3,4).

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of ordered pairs (1,2), (1,3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph at more than one point, it is not a function.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.