Domain and range

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of the range of a function?

Back

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

Front

Given the set of ordered pairs {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

Given the set of ordered pairs {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.

Front

How do you determine the domain of a relation?

Back

To determine the domain of a relation, identify all the unique x-values from the set of ordered pairs.

Front

How do you determine the range of a relation?

Back

To determine the range of a relation, identify all the unique y-values from the set of ordered pairs.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a two-dimensional space.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values.

Front

What is the significance of the domain and range in a function?

Back

The domain and range help define the behavior of the function and the values it can take.

Front

Can the domain of a function be infinite?

Back

Yes, the domain of a function can be infinite, such as in the case of polynomial functions.