Domain & Range

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y) that result from using the function.

Front

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

Back

A relation is a function if every input (x-value) is associated with exactly one output (y-value).

Front

What is an example of a discrete variable?

Back

The number of students in each math class is an example of a discrete variable, as it can only take on specific, separate values.

Front

What is an example of a continuous variable?

Back

The height of students in a class is an example of a continuous variable, as it can take on any value within a range.

Front

How do you determine the domain of a function from its graph?

Back

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

Front

How do you determine the range of a function from its graph?

Back

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

Front

What is the notation used to express the domain of a function?

Back

The domain is often expressed using interval notation, such as (-3, 3] or [-3, 3).

Front

What is the notation used to express the range of a function?

Back

The range is often expressed using interval notation, such as [-7, 2].

Front

What is the difference between open and closed intervals in domain and range?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.