Support · Mathematics Extension 1 11–12 – Year 11 · Further work with functions
Support Explain that the reflection in the line y = x exchanges horizontal and vertical lines and recognise that the horizontal line test can therefore be applied to the graph of y = f(x) to determine whether its reflection in the line y = x is 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.
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
Apply the vertical line test on the graph of a relation to determine whether it represents a function
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
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.
Graph vertical and horizontal lines
Stage 5 · Linear relationships A Draft mapping
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: x=a graphsUse it for: Short worked-example video on linear graphs: x=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=a graphsUse it for: Short worked-example video on linear graphs: y=a graphs to model the method before practice or for flipped revision.