Domain of Functions

Front

What is 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

How do you represent the domain of a function using interval notation?

Back

Interval notation uses parentheses and brackets to represent the domain. Parentheses indicate that an endpoint is not included, while brackets indicate that it is included.

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

The domain is all real numbers except x = 3, represented as (-∞, 3) ∪ (3, ∞).

Front

What is the domain of the function g(x) = √(x-2)?

Back

The domain is x ≥ 2, represented as [2, ∞).

Front

What is the domain of the function h(x) = ln(x)?

Back

The domain is x > 0, represented as (0, ∞).

Front

What is the domain of the function k(x) = 1/(x^2 - 4)?

Back

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

Front

How do you find the domain of a polynomial function?

Back

The domain of a polynomial function is all real numbers, represented as (-∞, ∞).

Front

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

Back

The domain is x > 1, represented as (1, ∞).

Front

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

Back

The domain is -2 ≤ x ≤ 2, represented as [-2, 2].

Front

What is the domain of the function p(x) = 3x + 5?

Back

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