General Concepts of Functions Course
This course equips math professionals with essential skills in functions, covering domains, ranges, injectivity, surjectivity, inverses, and composition. Participants gain sharper proofs, cleaner notation, and reduced errors through practical examples with linear, quadratic, and reciprocal functions, enhancing problem-solving precision and report-quality explanations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a practical toolkit for functions, mastering domain, codomain, image, preimage, restrictions, and interval preimages. Learn notation, composition, injectivity, surjectivity, and inverses via linear, quadratic, and reciprocal examples, while honing 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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