General Concepts of Functions Course
This course equips you with essential skills in functions, covering domains, ranges, injectivity, surjectivity, inverses, and composition. Designed for math professionals, it sharpens your proofs, improves notation, and reduces errors through practical examples with linear, quadratic, and reciprocal functions, enhancing your problem-solving abilities.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain a practical understanding of function domains, codomains, images, preimages, and restrictions. Learn notation, composition, injectivity, surjectivity, and inverses using linear, quadratic, and reciprocal examples, while developing skills in clear explanations, error detection, and structured solutions.
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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