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Functions and Graphs

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Question 217

The height of a maintenance lift, H H\,H metres, relative to the ground floor is recorded over time t t\,t seconds. The height is modelled by the function

H(t)=18−∣3t−21∣ H(t) = 18 - |3t - 21| H(t)=18−∣3t−21∣
a.

Sketch the graph of H(t)H(t)H(t), marking the coordinates of any points where the graph intersects the axes and the coordinates of the vertex.

[4]
b.

Solve the inequality

18−∣3t−21∣<9 18 - |3t - 21| < 9 18−∣3t−21∣<9
[3]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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