General Concepts of Functions Course
This General Concepts of Functions Course equips math professionals with essential skills in domains, ranges, injectivity, surjectivity, inverses, and composition. Participants will sharpen their proofs, refine notation, and minimise errors through practical examples involving linear, quadratic, and reciprocal functions, ensuring report-ready solutions and clear explanations.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
The General Concepts of Functions Course provides a practical toolkit for domain, codomain, image, and preimage, covering implicit restrictions and interval preimages. Learners will master notation, composition, injectivity, surjectivity, and inverses using linear, quadratic, and reciprocal examples, while enhancing written explanations, error checking, and structured 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 the 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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