Domain and Range

Front

What is the definition of Domain in a relation?

Back

The set of all possible input values (x-values) for a function or relation.

Front

What is the definition of Range in a relation?

Back

The set of all possible output values (y-values) for a function or relation.

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

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of the relation {(3,0), (7,0), (3,5), (7,5)}?

Back

The domain is {3, 7}.

Front

What is the range of the relation {(3,0), (7,0), (3,5), (7,5)}?

Back

The range is {0, 5}.

Front

If a function has a domain of {1, 2, 3} and a range of {4, 5}, what is the relation?

Back

The relation could be {(1,4), (2,5), (3,4)}.

Front

What is the range of the graph if it is defined as 1 ≤ y ≤ 5?

Back

The range is {y | 1 ≤ y ≤ 5}.

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 has two different outputs.

Front

What is the domain of the function f(x) = √(x-1)?

Back

The domain is {x | x ≥ 1}.