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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 171

Given that ppp and qqq are positive constants with p>qp > qp>q,

a.

Sketch, on separate diagrams, the graph with equation

(i) y=∣2x−p∣y = |2x - p|y=∣2x−p∣

(ii) y=∣2x−p∣−qy = |2x - p| - qy=∣2x−p∣−q

Show on each sketch

  • the coordinates of the minimum point on the graph
  • the coordinates of the point at which the graph crosses the yyy-axis
[4]
b.

Solve the equation

∣2x−p∣−q=4x |2x - p| - q = 4x ∣2x−p∣−q=4x

giving any solution for xxx in terms of ppp and qqq.

[4]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 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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