Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus · Multiplicity of zeroes of polynomial functions · Topic: Calculus · Year 11, 12
Graph a polynomial function in factored form, identifying its turning points and points of inflection if possible, and explore its behaviour as x→∞ and x→ - ∞, verifying the shape of the graph using graphing applications
Dot point ID extension-1-year-12-further-applications-of-calculus/dp-1d7767dc · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 2 resources★EnrichExtension & rich tasks · 0 resources
Outcomes for this focus area (ME1-12-05)
ME1-12-05 applies calculus to solve problems involving polynomials, further rates of change, areas and volumes and differential equationsCore resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- 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.