Domain Calculator
Estimate the domain of f(x) by sampling the expression parser across a wide range of x values.
Inputs
Use x as variable. Supports sqrt, ln, 1/x, etc.
Estimated Domain
Approximately [2, 100]
Defined sample points
981
Total sample points
2,001
Step by step
Values used
f(x) = sqrt(x - 2); Search range lower = -100; Search range upper = 100
Sampling approach
Evaluate f(x) at 2001 evenly-spaced points in [lo, hi] and identify where f(x) is defined
Estimated Domain
= Approximately [2, 100]
Defined sample points
= 981
Total sample points
= 2,001
How it works
This calculator estimates the domain of f(x) by evaluating the expression at many evenly-spaced sample points and identifying where the function produces finite results. It detects regions where the function is undefined (e.g., square roots of negatives, division by zero, logarithms of non-positive values).
Formula
Sampling approach
Evaluate f(x) at 2001 evenly-spaced points in [lo, hi] and identify where f(x) is defined
- lo
- Lower bound of search range
- hi
- Upper bound of search range
Frequently Asked Questions
Is this an exact domain calculation?
No — it is a numerical estimate based on sampling. It may miss isolated undefined points or boundaries between very close sample points.
How can I improve accuracy?
Narrow the search range around the region of interest. The 2001 sample points will then be more densely packed.