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1.2.12 The modulus function (A-level only)

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Question 18

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]

1.2.12 The modulus function (A-level only) Questions

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