Domain and Range in Interval Notation

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

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

Interval notation uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints to represent sets of numbers.

The interval notation (a, b) represents all real numbers x such that a < x < b.

The interval notation [a, b) represents all real numbers x such that a ≤ x < b.

The interval notation (-∞, b] represents all real numbers x such that x ≤ b.

The interval notation [a, ∞) represents all real numbers x such that x ≥ a.

(3, ∞)

(-∞, -2]

[1, ∞) because the expression under the square root must be non-negative.