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Maths calculators for Class 1–12 · CBSE, ICSE & state boards, UK KS1–A-level, IGCSE, US Common Core & AP — every answer worked out step by step.

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Ask anything in maths — type an expression or a plain-English question. The answer comes back as a set of panels: the result, other forms, a plot, roots, derivative, integral, number facts and a step-by-step solution, just like a computational knowledge engine.


Relations & Functions Calculator: worked out step by step

Test a relation for reflexive, symmetric, transitive and equivalence (with a counter-example when it fails), and test a function for one-one, onto and inverse, with arrow diagrams. Class 11-12. Made for Class 11 to 12 (CBSE, ICSE and state boards), UK Year 12 to 13, US Grade 11 to 12.

What you can work out

Worked example

With Set A 1..6, (a (a - b) % 3 == 0, the answer is R is = an equivalence relation.

Questions about this calculator

What does the Relations & Functions Calculator do?

Test a relation for reflexive, symmetric, transitive and equivalence (with a counter-example when it fails), and test a function for one-one, onto and inverse, with arrow diagrams. Class 11-12. It has these parts: Relation by a Rule, Relation from Pairs, Function Between Sets.

Is the Relations & Functions Calculator free?

Yes. Everything on numolve is free to try. numolve Plus adds the full step-by-step working, photo scan, answer keys and PDF worksheets.

Does the Relations & Functions Calculator show the working?

Yes. It shows the working one step at a time, with the formula where there is one. Free users see the first three steps of each solution; numolve Plus shows all of them.

Which classes is it for?

It is made for Class 11 to 12 (CBSE, ICSE and state boards), UK Year 12 to 13, US Grade 11 to 12.

Can I use it on my phone?

Yes. numolve works in any phone browser, and the Get the app button installs it like an app on Android and iPhone.

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