Support · Mathematics Extension 1 11–12 – Year 11 · Further work with functions
Support Ex amine the relationship between the graphs of y = f(x) and y = g(x) and the graphs of y = f(x) + g(x) and y = f(x) - g(x) using graphing applications, and graph y = f(x) + g(x) and y = f(x) - g(x) given y = f(x) and y = g(x) in algebraic or graphical form
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.
Use the notation f(c) to determine the value of f(x) when x = c
Stage 5 · Functions and other graphs (Path) Draft mapping
- Corbettmaths practice questions: Composite functionsUse it for: Free printable graded practice questions (with answers) on composite functions for drill or a quick check.
- WorksheetDrillKuta free worksheet: Evaluating and graphing functionsUse it for: Printable skills-practice sheet with answer key on evaluating and graphing functions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Evaluating functionsUse it for: Printable skills-practice sheet with answer key on evaluating functions; good for drill or homework.
- VideoStarterCorbettmaths video: Composite functionsUse it for: Short worked-example video on composite functions to model the method before practice or for flipped revision.