11-10-22 Relations, Functions, Domain and Range (Alg)

Front

What is 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 a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How do you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

The range is the set of all possible output values (y-values) for the relation.

Front

Given the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what is the domain?

Back

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

Front

Given the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what is the range?

Back

The range is {2, 4, 5, -2}.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

If a relation has the ordered pairs {(1, 3), (2, 4), (1, 5)}, is it a function?

Back

No, it is not a function because the x-value 1 is associated with two different y-values (3 and 5).