Function, Relations, Domain,and Range

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (or domain) and an output (or range).

Front

Define the domain of a function.

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

Define the range of a function.

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from the function.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If any vertical line intersects the curve more than once, the curve is not a function.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (domain) is associated with exactly one output (range).

Front

Identify a characteristic of a function's graph.

Back

A function's graph will not have any vertical lines that intersect it at more than one point.

Front

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

Back

The relation {(1,-5), (-1,6), (1,5), (6,-3)} is not a function because the input '1' is associated with two different outputs (-5 and 5).

Front

How can you determine the range from a set of ordered pairs?

Back

To determine the range from a set of ordered pairs, list all the unique output values (the second elements of the pairs).

Front

What is the significance of the ordered pairs (3,0), (7,0), (3,5), (7,5)?

Back

These ordered pairs represent a relation with a domain of {3,7} and a range of {0,5}.

Front

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

Back

If a table is not a function, it means that at least one input value corresponds to multiple output values.