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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 61

A precision sensor calculates the deviation D D\,D in the flow rate f f\,f of a lubricant in an industrial engine. This deviation is modeled by the function D(f)=∣4f−3k∣D(f) = |4f - 3k|D(f)=∣4f−3k∣, where k k\,k is a positive constant and f≥0f \ge 0f≥0.

Sketch the graph of D D\,D against fff. Show clearly on your sketch the coordinates of the points where the graph intersects or meets the coordinate axes.

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Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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