Power Function Course
Gain expertise in power functions f(x)=a·x^n, covering domains, ranges, asymptotes, and graphing behaviour clearly. Develop strong intuition through comparisons of examples, linking detailed analysis to practical modelling and effective communication in mathematics. This course builds skills for precise function analysis and professional reporting in real-world scenarios.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course offers a quick and practical way to master power functions f(x)=a·x^n. You will explore how different exponents affect graphs, domains, ranges, continuity, and end behaviour. Learn the impact of coefficient 'a' on steepness, symmetry, intercepts, and asymptotes. With simple explanations, examples, and real-life applications, you will describe functions accurately and create neat reports.
Elevify advantages
Develop skills
- Analyse power function domains expertly with integer, negative, and fractional exponents.
- Determine ranges and continuity quickly, managing asymptotes, limits, and discontinuities.
- Graph power functions with precision, covering symmetry, extrema, intercepts, and end behaviour.
- Apply power laws to model real-world phenomena, justifying choices in clear mathematical terms.
- Produce concise, professional reports on power functions featuring accurate graph descriptions.
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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