Domain and Range

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

What is the domain of a relation?

Back

The domain is the set of all possible x-values (inputs) for which the relation is defined.

Front

What is the range of a relation?

Back

The range is the set of all possible y-values (outputs) that result from the relation.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value, which can be checked using the vertical line test.

Front

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

Back

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

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 is associated with two different outputs.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the significance of the ordered pairs in a relation?

Back

Ordered pairs indicate the relationship between the x-values and y-values, showing how each input is mapped to an output.

Front

How do you find the domain of a given relation?

Back

To find the domain, identify all the x-values present in the ordered pairs of the relation.

Front

How do you find the range of a given relation?

Back

To find the range, identify all the y-values present in the ordered pairs of the relation.