Representing Relations

Front

What is the definition of a relation in mathematics?

Back

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

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

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

Front

How do you find the domain of a given relation?

Back

To find the domain, identify all the first elements (x-values) 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 second elements (y-values) in the ordered pairs of the relation.

Front

What is an ordered pair?

Back

An ordered pair is a pair of elements (x, y) where the first element is the input and the second element is the output.

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 the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph of the relation at more than one point.

Front

What is the significance of the point (0, 0) in a coordinate system?

Back

The point (0, 0) is known as the origin, where the x-axis and y-axis intersect.

Front

How can you represent a relation graphically?

Back

A relation can be represented graphically by plotting its ordered pairs on a coordinate plane.