Domain and Range

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 inputs in the domain.

Front

How can you determine if a graph represents a function?

Back

You can determine if a graph represents a function by using the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

Given the relation {(2, 140), (5, 350), (14, 960)}, what is the domain?

Back

The domain is {2, 5, 14}.

Front

Given the relation {(1, 5), (3, 7), (6, 8), (8, 9), (3, 4)}, what is the domain?

Back

The domain is {1, 3, 6, 8}.

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 set that represents a domain?

Back

An example of a domain could be the set of integers {1, 2, 3, 4}.

Front

What is an example of a set that represents a range?

Back

An example of a range could be the set of outputs {5, 10, 15} from a function.

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can vary, but it must contain outputs corresponding to each input in the domain.

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.