Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions · Exponential functions · Topic: Non-linear relationships & functions · Year 11
Examine the gradient of the tangent to the curve y = a^x at its y -intercept for varying values of a, and verify using graphing applications that there is a unique number e ≈ 2.71828182845..., such that the gradient of the tangent to y = e^x at x = 0 is 1, and call this number e Euler’s number
Dot point ID advanced-year-11-exponential-and-logarithmic-functions/dp-6422f1c5 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 2 resources★EnrichExtension & rich tasks · 0 resources
Outcomes for this focus area (MAV-11-07, MAV-11-08)
MAV-11-07 applies exponential and logarithmic laws to simplify expressions, solve equations and prove resultsMAV-11-08 analyses graphs of exponential and logarithmic functionsCore 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.