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Graphs of functions

IGCSE Mathematics 0580, topic 2 Algebra and graphs (2.9 to 2.11). Tables of values, sketching curves, solving equations with graphs, exponential growth and decay, travel graphs and conversion graphs.

About this lab: Graphs of functions

Interactive simulation for Cambridge IGCSE Mathematics 0580 topic 2 Algebra and graphs: fill in a table of values and plot a curve point by point, sketch linear, quadratic, cubic, reciprocal and exponential graphs with their roots, intercepts, turning points, symmetry and asymptotes, solve equations by drawing a line across a curve, model exponential growth and decay, drag a journey on a distance-time graph, find acceleration and distance from a speed-time graph, and read conversion graphs.

IGCSE Mathematics 0580, topic 2 Algebra and graphs (2.9 to 2.11). Tables of values, sketching curves, solving equations with graphs, exponential growth and decay, travel graphs and conversion graphs.

Graphs of functions is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 2 Algebra and graphs, sections 2.9 Graphs in practical situations, 2.10 Graphs of functions, 2.11 Sketching curves). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 7 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

Full syllabus map: IGCSE Mathematics 0580 topic 2.

How to use this simulation

  1. 1. Table of values.
  2. 2. Sketching.
  3. 3. Solving.
  4. 4. Growth and decay.
  5. 5. Distance-time.
  6. 6. Speed-time.
  7. 7. Conversion.
  8. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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