Domain and Range

Front

What is the definition of 'domain' in 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 definition of 'range' in a relation?

Back

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

Front

What is a relation in mathematics?

Back

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

Front

How do you find the domain of a function given a set of ordered pairs?

Back

The domain is found by listing all the first elements (x-values) of the ordered pairs.

Front

How do you find the range of a function given a set of ordered pairs?

Back

The range is found by listing all the second elements (y-values) of the ordered pairs.

Front

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

Back

The domain is {3, 7}.

Front

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

Back

The range is {5, 7, 0}.

Front

Given the function g(x)=2x, what is the range if the domain is {0, 2, 4}?

Back

The range is {0, 4, 8}.

Front

Which of the following is a valid domain: {1, 2, 3} or {1, 2, 3, 3}?

Back

{1, 2, 3} is a valid domain because it contains unique values.

Front

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

Back

The domain is all real numbers except x = 0.