FLASHCARD 3.1a-c Domain, Range, Functions

Front

What is a function?

Back

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

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 first element (x-value) with different second elements (y-values).

Front

What is the domain of a relation?

Back

The domain is the set of all x-values (inputs) in a relation.

Front

What is the range of a relation?

Back

The range is the set of all y-values (outputs) in a relation.

Front

Given the graph, how do you find the domain?

Back

The domain can be found by identifying all the x-values that the graph covers.

Front

Given the graph, how do you find the range?

Back

The range can be found by identifying all the y-values that the graph covers.

Front

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

Back

If a relation is not a function, it means that at least one x-value is associated with more than one y-value.

Front

What is an example of a function?

Back

An example of a function is the relation {(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), (2, 4)}.

Front

How do you express the domain in interval notation?

Back

The domain can be expressed in interval notation, such as [-2, 2] for all x-values from -2 to 2.