Domain and Range Interval Notation

A mathematical notation used to represent a range of values, indicating the lower and upper bounds of the interval.

A closed interval is represented with square brackets, e.g., [a, b] includes both endpoints a and b.

An open interval is represented with parentheses, e.g., (a, b) excludes both endpoints a and b.

It signifies an interval that includes b but excludes a.

It represents all values less than b, including negative infinity up to but not including b.

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

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

(-∞, 5) represents all values less than 5.

[-3, 2) includes -3 and all values up to but not including 2.

The domain is [1, ∞) since the expression under the square root must be non-negative.