Relations

Front

What is a mapping in the context of relations?

Back

A mapping illustrates how each element of the domain is paired with an element of the range.

Front

What is the domain of a relation or function?

Back

The domain is the set of all first coordinates (or x-values) of a relation or function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs.

Front

What does the ordered pair (3, 4) represent?

Back

The ordered pair (3, 4) represents a point in a coordinate system, where 3 is the x-coordinate and 4 is the y-coordinate.

Front

What is the range of a function?

Back

The range is the set of all second coordinates (or y-values) of a relation or function.

Front

How can you identify the domain from a set of ordered pairs?

Back

The domain can be identified by listing all the first coordinates (x-values) from the ordered pairs.

Front

What is the difference between domain and range?

Back

The domain consists of the x-values, while the range consists of the y-values of a relation or function.

Front

What is an example of a function?

Back

A function is a specific type of relation where each input (x-value) is paired with exactly one output (y-value). For example, f(x) = 2x + 3.

Front

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

Back

A relation is a function if every element in the domain is paired with exactly one element in the range.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate plane.