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

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

Back

To determine the domain, list all the unique x-values from the ordered pairs.

Front

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

Back

To determine the range, list all the unique y-values from the ordered pairs.

Front

What is the domain of the relation: {(-6, 1), (0, 2), (2, 3), (4, 4)}?

Back

The domain is {-6, 0, 2, 4}.

Front

What is the range of the relation: {(-6, 1), (0, 2), (2, 3), (4, 4)}?

Back

The range is {1, 2, 3, 4}.

Front

Given the function f(x) = x^2, what is its domain?

Back

The domain is all real numbers, (-∞, ∞).

Front

Given the function f(x) = 1/x, what is its domain?

Back

The domain is all real numbers except x = 0, (-∞, 0) ∪ (0, ∞).

Front

What is the range of the function f(x) = x^2?

Back

The range is all non-negative real numbers, [0, ∞).

Front

What is the range of the function f(x) = sin(x)?

Back

The range is [-1, 1].