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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 148

The vertical displacement hhh (in decimetres) of an industrial piston at time ttt (where t∈Rt \in \mathbb{R}t∈R) is modelled by the cubic function:

h(t)=t(t−12)(t−k) h(t) = t(t - 12)(t - k) h(t)=t(t−12)(t−k)

where kkk is a constant such that k>12k > 12k>12.

a.

Sketch the graph of y=h(t)y = h(t)y=h(t) on a set of axes, labelling the coordinates of the points where the graph intersects the ttt-axis.

[3]
b.

After a mechanical recalibration, the displacement is modelled by the transformed function g(t)=h(10−2t)g(t) = h(10 - 2t)g(t)=h(10−2t). Sketch the graph of y=g(t)y = g(t)y=g(t) on separate axes, labelling the coordinates of the points where the graph intersects the ttt-axis in terms of kkk.

[3]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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