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 ability to produce rigorous proofs, use clean notation, and solve problems accurately with fewer errors through practical examples like linear, quadratic, and reciprocal functions.

from 4 to 360h flexible workload
valid certificate 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 via examples of linear, quadratic, and reciprocal functions, while honing skills in clear explanations, error detection, and structured problem-solving.
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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