Support · Mathematics Advanced 11–12 – Year 11 · Working with functions

Support Apply the vertical line test on the graph of a relation to determine whether it represents a function

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.

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Prerequisite dot points

Apply the vertical line test on a graph to decide whether it represents a function

Stage 5 · Functions and other graphs (Path) Draft mapping

No checked resources on this prerequisite dot point yet.

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

  • Interactive toolStarterEnrichment
    Desmos Graphing Calculator
    Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
  • Interactive toolEnrichment
    GeoGebra Classic
    GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use 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.