General Concepts of Functions Course
This General Concepts of Functions Course equips you with essential skills in domains, ranges, injectivity, surjectivity, inverses, and composition. Tailored for math professionals, it sharpens your proofs, refines notation, and minimises errors in practical problem-solving scenarios, using clear examples from linear, quadratic, and reciprocal functions to build confidence and precision.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
Gain a solid grasp of function fundamentals including domain, codomain, image, preimage, implicit restrictions, and interval preimages. Master notation, composition, injectivity, surjectivity, and inverses via practical examples with linear, quadratic, and reciprocal functions, while honing skills in clear written explanations, error detection, and structured solution reporting.
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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