There are many online math calculators and tools that can help you determine the domain of a function and convert it to interval notation. Here are the general steps you can follow to perform this conversion:
- Determine the domain of the function: Use a function graphing tool, a domain calculator, or a mathematical analysis to determine the set of all input values for which the function is defined.
- Write the domain in interval notation: Once you have determined the domain, you can convert it to interval notation using brackets and parentheses to represent closed and open intervals. In general, the notation [a, b] represents the closed interval from a to b, including both endpoints, while (a, b) represents the open interval from a to b, excluding both endpoints. If the interval includes only one endpoint, you can use a bracket or a parenthesis to indicate whether it is included or excluded.
Here's an example of how to use an online calculator to perform this conversion:
- Go to an online function domain calculator, such as the one provided by Symbolab or Mathway.
- Enter the function expression or equation for which you want to find the domain. For example, enter "sqrt(x-4)".
- Click the "Find Domain" button or similar option provided by the calculator.
- Review the domain that is calculated and displayed by the calculator. For example, the domain of the function "sqrt(x-4)" is x ≥ 4, since the square root of a negative number is undefined.
- Convert the domain to interval notation. In this example, the domain x ≥ 4 can be written as [4, infinity) in interval notation. The closed bracket indicates that the endpoint 4 is included, while the parenthesis indicates that all other values greater than 4 are included but 4 itself is not.
