General Concepts of Functions Course
Master domains, ranges, injectivity, surjectivity, inverses, and composition in this General Concepts of Functions Course, built for math professionals who want sharper proofs, cleaner notation, and fewer errors in real problem-solving. This course equips you with practical tools for domain, codomain, image, preimage, and function properties using concrete examples.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
The General Concepts of Functions Course gives you a clear, practical toolkit for working with domain, codomain, image, and preimage, including implicit restrictions and interval preimages. You will master notation, composition, injectivity, surjectivity, and inverses through concrete linear, quadratic, and reciprocal examples, while also improving written explanations, error checking, and report-ready solution steps.
Elevify advantages
Develop skills
- Master domains and ranges: compute, restrict, and justify for key function types.
- Test injective, surjective, and invertible functions with clear algebraic proofs.
- Compute and interpret function compositions, domains, and chained transformations.
- Evaluate linear, quadratic, and reciprocal functions quickly with rigorous reasoning.
- Write precise, readable function solutions using top-tier notation and explanations.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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