Interval notation is a useful way to show the domain and range of functions in a simple and understandable way.

When we talk about the possible input values (domain) or output values (range) of a function, interval notation helps us avoid long and confusing explanations.

Examples:

1. Example of Domain:

   • For the function ( f(x) = \sqrt{x} ), the domain includes all numbers that are zero or bigger. In interval notation, we write this as ([0, \infty)).

2. Example of Range:

   • For the same function, the range also includes all numbers that are zero or bigger. We write this as ([0, \infty)) too.

Key Features:

• Parentheses mean that the numbers at the ends are not included. For example, ((a, b)) includes all the numbers between (a) and (b), but not (a) and (b) themselves.

• Brackets mean that the numbers at the ends are included. For example, ([a, b]) includes both (a) and (b).

Using interval notation helps us see and share the domains and ranges of functions in a clear and simple way!