Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus
Support Define a global maximum of a function f(x) to be a point P(a,f(a)) on the graph where f(x) ≤ f(a), for all x in the domain, and define a global minimum similarly
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
Define the domain of a function f as the set of real numbers on which f is defined
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Interpret piecewise-defined functions, where the function is defined differently in different parts of the domain
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Graph y = (ax + b) with and without graphing applications, and identify its symmetry, domain and range
Mathematics Advanced 11–12 – Year 11 · Working with functions 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.