Linear Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

Identify the domain of the function f(x) = 2x + 3.

Back

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

Front

Identify the range of the function f(x) = 2x + 3.

Back

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

Front

What does the notation (a, b) represent in interval notation?

Back

An open interval where 'a' and 'b' are not included.

Front

What does the notation [a, b] represent in interval notation?

Back

A closed interval where 'a' and 'b' are included.

Front

What does the notation (a, b] represent in interval notation?

Back

A half-open interval where 'a' is not included and 'b' is included.

Front

What does the notation [a, b) represent in interval notation?

Back

A half-open interval where 'a' is included and 'b' is not included.

Front

Identify the domain of the function f(x) = 1/(x-2).

Back

The domain is all real numbers except x = 2, denoted as (-∞, 2) ∪ (2, ∞).

Front

Identify the range of the function f(x) = 1/(x-2).

Back

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