Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Recognise and graph cubic functions of the form f(x) = kx³ and f(x) = k(x - a)(x - b)(x - c), where a, b, c and k are constants and k≠0
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Use graphing applications to graph and compare functions of the form y = f(x),y = f(x) + c, y = f(x - b), y = kf(x) and y = f(ax), and describe their transformations
Stage 5 · Functions and other graphs (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Use the notation f(x) when expressing a function
Stage 5 · Functions and other graphs (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Determine and describe the domain and range for a variety of functions
Stage 5 · Functions and other graphs (Path) Draft mapping
No checked resources on this prerequisite dot point yet.