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Domain and Range Calculator

Estimate the domain (excluded x-values) and range of a function f(x) by numerical sampling.

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Interquartile range (IQR) calculatorCompute the first quartile, third quartile and interquartile range of a dataset.Range calculatorFind the range, minimum and maximum of a list of numbers.Absolute Value Equation SolverSolve absolute-value equations like |x+3| = 5, 3|x+2| = 12 or |x+1| = |x−3| with step-by-step case analysis and exact solutions.Absolute Value Inequality SolverSolve absolute-value inequalities such as |x+3| < 5 or |x−2| > 3 and get the solution as an interval, with AND/OR reasoning explained step by step.Algebraic Expression SimplifierCombines like terms, expands or factors, with implicit multiplication understood (2x is 2·x). When a cancellation removes a factor, the excluded value is stated — (x²−4)/(x−2) is x+2 only for x ≠ 2, and that restriction is part of the answer.Beta Function CalculatorCompute the Euler Beta function B(x, y) = Γ(x)·Γ(y) / Γ(x+y) via a stable log-gamma.Boolean Algebra SimplifierReduces a boolean expression to a minimal sum of products, accepting every common notation — AB, A·B, A&B for AND, A+B or A|B for OR, ~A, !A or A' for NOT, plus XOR, NAND and NOR. Shows the prime implicants, not just the final answer.Complementary Error Function CalculatorCompute erfc(x) = 1 − erf(x) to high precision, accurate even far in the tail.

Domain and Range Calculator works straight from this page — free, instant, nothing to install. It sits under Algebra & equations in our catalogue, alongside Interquartile range (IQR) calculator and Range calculator.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Domain and Range Calculator do?

Estimate the domain (excluded x-values) and range of a function f(x) by numerical sampling.

When would I actually use this?

Getting through a problem set: solving for the unknown, factoring an expression, and — more usefully — seeing the steps that got there.

What is the most common mistake?

Losing a solution when both sides are squared or divided by an expression. Squaring can add roots that do not satisfy the original equation, and dividing can remove one — check every answer back in the original.

How is Domain and Range Calculator different from Interquartile range (IQR) calculator?

They sit next to each other but answer different questions: Interquartile range (IQR) calculator is the one to open when you need it to compute the first quartile, third quartile and interquartile range of a dataset. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Range calculator is the closest one after this: Find the range, minimum and maximum of a list of numbers.

What else is worth having open alongside it?

Absolute Value Equation Solver and Absolute Value Inequality Solver — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

The algebra is symbolic where the expression allows it and numeric otherwise, and the tool says which it used. Exact results are given as fractions or radicals rather than rounded decimals.

Further reading

All guides →
How-toHow to Use the Quadratic Formula: Solving ax² + bx + c = 0Solve any quadratic equation with x = (−b ± √(b² − 4ac)) / 2a, and read the discriminant to know how many real solutions to expect.How-toHow to Find a Cube Root by HandA step-by-step guide to finding a cube root by estimation and refinement — plus how it differs from a square root and when a value stays irrational.ExplainerHow Exponents Work: Powers and the Laws of ExponentsAn exponent is repeated multiplication. Learn the laws of exponents, what negative and fractional powers mean, and why anything to the zero is one.ExplainerHow Long Is a Dog Pregnant? Why a Date From Mating Is a RangeSixty-three days is measured from ovulation, not from the mating. Counted from a mating date the same pregnancy spreads over two weeks, because sperm survive for days and a bitch is often mated more than once. What the calculator does with that, and where its window stops four days early.ExplainerProjectile Motion Explained: Range, Height, Flight Time — and Why 45° Is Not Always BestThree formulas cover the whole of projectile motion on level ground. The catch is level ground: the moment launch and landing heights differ, the 45° result stops being true.ExplainerThe Flat Pattern of a Cone Is a Sector, Not a CircleRoll a 50 mm cone 80 mm tall and its pattern is a 190.8° slice of a 94 mm circle. Flatten a nearly cylindrical lampshade and the pattern radius runs to 839 mm — the shallower the taper, the further away the apex.