Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

How do you express Domain in interval notation?

Back

Use brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What is the Domain of the function f(x) = 2x + 3?

Back

All real numbers, expressed as (-∞, ∞).

Front

What is the Range of the function f(x) = 2x + 3?

Back

All real numbers, expressed as (-∞, ∞).

Front

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

Back

All real numbers except x = 2, expressed as (-∞, 2) U (2, ∞).

Front

Identify the Range of the function f(x) = x^2.

Back

All real numbers y such that y ≥ 0, expressed as [0, ∞).

Front

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

Back

All real numbers x such that x ≥ 1, expressed as [1, ∞).

Front

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

Back

All real numbers y such that y ≥ 0, expressed as [0, ∞).

Front

How do you find the Domain of a function?

Back

Identify the values of x that make the function undefined (like division by zero) and exclude them.