Domain and Range in Context

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 results from using the function.

Front

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

Back

The domain is all real numbers.

Front

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

Back

The range is all non-negative real numbers (n^2 ≥ 0).

Front

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

Back

The domain is all real numbers except n = 0.

Front

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

Back

The range is all real numbers except 0.

Front

If a function has a domain of 12 ≤ n ≤ 52, what does this mean?

Back

It means that the function is defined for all values of n between 12 and 52, inclusive.

Front

If a function has a range of whole numbers, what does this imply?

Back

It implies that the output of the function can only be whole numbers (0, 1, 2, 3, ...).

Front

What is the domain of the function f(n) = n^2 - 4?

Back

The domain is all real numbers.

Front

What is the range of the function f(n) = n^2 - 4?

Back

The range is all real numbers greater than or equal to -4.