Domain & Range

Front

What is the definition of 'domain' in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the definition of 'range' in mathematics?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that result from using the function.

Front

Identify the domain of the function f(x) = x^2 for x in real numbers.

Back

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

Front

Identify the range of the function f(x) = x^2 for x in real numbers.

Back

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

Front

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

Back

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

Front

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

Back

The range is all real numbers except y = 0, denoted as (-∞, 0) U (0, ∞).

Front

Given the function f(x) = x + 3, what is the domain?

Back

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

Front

Given the function f(x) = x + 3, what is the range?

Back

The range is all real numbers, denoted as (-∞, ∞).

Front

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

Back

The domain is x ≥ 1, denoted as [1, ∞).

Front

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

Back

The range is y ≥ 0, denoted as [0, ∞).