function and relation

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but may also include pairs where an input has multiple outputs.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input is paired with exactly one output.

Front

What is an example of a function?

Back

An example of a function is the mapping {(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 {(1,2), (1,3)} because the input 1 has two outputs.

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 vertical line test?

Back

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

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line.