Range and Domain of Functions

Front

What is the definition of the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Identify the domain of the relation: (1, 2), (3, 4), (5, 6).

Back

The domain is {1, 3, 5}.

Front

Identify the range of the relation: (1, 2), (3, 4), (5, 6).

Back

The range is {2, 4, 6}.

Front

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

Back

The domain is x ≥ 1.

Front

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

Back

The range is y ≥ 0.

Front

True or False: The domain of a function can include negative numbers.

Back

True.

Front

True or False: The range of a function can include complex numbers.

Back

False; the range consists of real numbers unless specified otherwise.

Front

Identify the domain of the relation: (2, 3), (4, 5), (6, 7).

Back

The domain is {2, 4, 6}.

Front

Identify the range of the relation: (2, 3), (4, 5), (6, 7).

Back

The range is {3, 5, 7}.