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Roots, continuity and sign changes

Roots, continuity and sign changes

Continuous curve crossing the x-axis between x equals 1 and x equals 1.5, with f(1) below the axis and f(1.5) above it

A root of f(x)=0f(x)=0f(x)=0 is an xxx value where the graph has height 0, so it meets the xxx-axis. Numerical methods help when an equation mixes algebraic, exponential, logarithmic or trigonometric terms and exact solving is awkward.

Numerical Methods Lesson

  1. A Level
  2. /Maths
  3. /Numerical Methods

Step-by-step lessons on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one builds up to exam-style questions. Build fluency with the core pure algebra and calculus toolkit early, since almost every mechanics and statistics topic on the course depends on it.

Lessons