Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus
Support Graph a function by determining local maxima and minima and points of inflection, horizontal and non-horizontal, considering any even or odd symmetry, the domain, any vertical asymptotes or other discontinuities, and where applicable, the behaviour of a function as x→±∞
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
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.
Solve problems involving even and odd functions
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Develop and use the tests that a function f(x) is odd if f(- x) = - f(x) and a function f(x) is even if f(- x) = f(x)
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.